LIST OF PUBLICATIONS:

 1              Balasubramanian, R., Radha, R.

Hardy-type inequalities for Hermite expansions. JIPAM. J. Inequal. Pure Appl. Math. 6 (2005), no. 1, Art. 12, 4 pp. (electronic). 42C10 (42B30)

 

 2              Balasubramanian, R., Ponnusamy, S., Prabhakaran, D. J.

Duality techniques for certain integral transforms to be starlike.

J. Math. Anal. Appl. 293 (2004), no. 1, 355--373. (Reviewer: Grigore Stefan S\u al\u agean) 30C45

 3              Balasubramanian, R., Prakash, Gyan

On an additive representation function.

J. Number Theory 104 (2004), no. 2, 327--334. (Reviewer: Georges Grekos) 11B34

 

 4              Balasubramanian, R., Prakash, Gyan

Addition of two sets of integers.

Current Sci. 85 (2003), no. 8, 1202--1206. 11B75 (05A05)

 

 5              Balasubramanian, R., Kulkarni, S. H., Radha, R.

Finite dimensional approximations of the operator equations.

Linear algebra, numerical functional analysis and wavelet analysis, 57--64, Allied Publ., New Delhi, 2003. 47A50 (47B36)

 

 6              Balasubramanian, R., Kanemitsu, S., Ramachandra, K.

On ideal-function-like functions.

Proceedings of the International Conference on Special Functions and their Applications (Chennai, 2002).

J. Comput. Appl. Math. 160 (2003), no. 1-2, 27--36. (Reviewer: Florin Nicolae) 11R42

 

 7              Basubramanian, R.

Elliptic curves and cryptography.

Elliptic curves, modular forms and cryptography (Allahabad, 2000), 325--345, Hindustan Book Agency, New Delhi, 2003. 14G50 (11T71 94A60)

 

 8              Balasubramanian, R., Raman, Venkatesh, Yegnanarayanan, V.

On the pseudoachromatic number of join of graphs.

Int. J. Comput. Math. 80 (2003), no. 9, 1131--1137. 05C15

 

 9              Balasubramanian, R., Ramachandra, K.

Some problems of analytic number theory. IV.

Hardy-Ramanujan J. 25 (2002), 5--21. (Reviewer: Wolfgang Schwarz) 11N37

 

 10          Balasubramanian, R. Naik, S. Ponnusamy, S.   Vuorinen, M.

Elliott's identity and hypergeometric functions.

J. Math.  Anal. Appl. 271 (2002), no. 1, 232--256.

(Reviewer: Roger W. Barnard) 33C05 (33C75)

 

 11          MR1882466 (2002k:52022) Adhikari, S. D. Balasubramanian, R. Thangadurai,R.

Corrigenda to our paper: "Further remarks on Steinhaus sets"

[Publ. Math. Debrecen 57 (2000), no. 3-4, 277--281, MR1798713 (2001k:52027)]. Publ. Math. Debrecen 60 (2002), no. 1-2, 209--210. 52C15

 

 12          MR1876641 (2003a:33011) Balasubramanian, R., Ponnusamy, S., Vuorinen, M.

On hypergeometric functions and function spaces.

J. Comput. Appl. Math. 139 (2002), no. 2, 299--322. (Reviewer: Stephen M.Zemyan) 33C15 (30C45 33-02)

 

 13          MR1893220 (2003d:11141) Balasubramanian, R.

Summation of series. I. Analysis and its applications (Chennai, 2000), 1--9, Allied Publ., New Delhi, 2001. (Reviewer: Robert F. Tichy) 11N37 (40A05)

 

 14          MR1825912 (2002a:47002) Balasubramanian, R., Kulkarni, S. H., Radha, R.

Non-invertibility of certain almost Mathieu operators. Proc. Amer.

Math. Soc. 129 (2001), no. 7, 2017--2018 (electronic). 47A05 (47N50)

 

 15          MR1816458 (2001k:11019) Balasubramanian, R. Ramana, D. S.

Additive complements of the squares.

C. R. Math. Acad. Sci. Soc. R. Can. 23 (2001),

no. 1, 6--11. (Reviewer: Laurent Habsieger) 11B13 (11B83)

 

 16          Balasubramanian, R. Ramachandra, K., Sankaranarayanan,A., Srinivas, K.

Notes on the Riemann zeta-function.

Hardy-Ramanujan J. 23 (2000), 2--9. (Reviewer: Matti Jutila) 11M06

 

 17          MR1823442 Balasubramanian, R. Ramachandra, K.

The proof that certain functions are entire.

II. Bull. Calcutta Math. Soc. 92 (2000), no. 1, 59--62. 30B50 (11M06 30D20)

 

 18          Adhikari, S. D. Balasubramanian, R. Thangadurai, R.

Further remarks on Steinhaus sets.

Publ. Math. Debrecen 57 (2000), no. 3-4, 277--281. (Reviewer: Igor Rivin) 52C15

 

 19          Balasubramanian, R., Ramachandra, K. Sankaranarayanan, A. Srinivas, K.

Notes on the Riemann zeta-function.

III, IV. Hardy-Ramanujan J. 22 (1999), 23--33, 34--41. (Reviewer: Matti Jutila) 11M06

 

 20          Balasubramanian, R., Ponnusamy, S.

Applications of duality principle to integral transforms of analytic

functions. Complex Variables Theory Appl. 38 (1999), no. 4, 289--305.

33C05 (30C45 33B15)

 

 21          Arasu, K. T., Evans, A. B., Balasubramanian, R.

A new family of nested row-column designs. J. Combin. Math. Combin.

Comput. 29 (1999), 139--144. 05B05

 

 22          Agarwal and R. Balasubrananian.

Internat. J. Math. Math. Sci. 21 (1998), no. 4, 694. 05C15

 

 

 23          Mozzochi, C. J. Balasubramanian, R.

Analytic sufficiency conditions for Goldbach's conjecture. Kyungpook Math. J. 19 (1979), no. 1, 85--105. (Reviewer: H. Halberstam) 10J10 (10J15)

 

 24          Balasubramanian, R. Ramana, D. S.

Atkin's  theorem on pseudo-squares.

Publ. Inst. Math. (Beograd) (N.S.) 63(77) (1998), 21--25. (Reviewer: Georges Grekos) 11B05 (11B13)

 

 25          Balasubramanian, R. Ponnusamy, S.

On Ramanujan asymptotic expansions and inequalities for hypergeometric functions.

Proc. Indian Acad. Sci. Math. Sci. 108 (1998), no. 2, 95--108. (Reviewer:

Richard B. Paris) 33C05

 

 26          Balasubramanian, R. Ramachandra, K.

Some remarks on a lemma of A. E. Ingham.

Dedicated to Professors Zoltán Daróczy and Imre Kátai. Publ. Math. Debrecen 52 (1998), no. 3-4, 281--289. (Reviewer: Matti Jutila) 11M06 (11M41)

 

 27          Balasubramanian, R. Koblitz,

Neal The improbability that an elliptic curve has subexponential discrete log problem under the Menezes-Okamoto-Vanstone algorithm.

J. Cryptology 11 (1998), no. 2, 141--145. 94A60 (11G20 11T71)

 

 28          Balasubramanian, R. Fellows, Michael R. Raman, Venkatesh

An improved fixed-parameter algorithm for vertex cover.

Inform. Process. Lett. 65 (1998), no. 3, 163--168. 68R10 (68Q15 68Q25)

 

 29          Balasubramanian, R. Ponnusamy, S. Vuorinen,

M. Functional inequalities for the quotients of hypergeometric functions.

J. Math. Anal. Appl. 218 (1998), no. 1, 256--268. 33C05

 

 30          Balasubramanian, R., Shorey, T. N.

Perfect powers in products of terms in an arithmetical progression.

IV. Number theory (Tiruchirapalli, 1996), 257--263, Contemp. Math., 210, Amer. Math. Soc., Providence, RI, 1998. (Reviewer: A. Pethö) 11N13

 

 31          Balasubramanian, R., Ramachandra, K.

Some local-convexity theorems for the zeta-function-like analytic functions.

III. Number theory (Tiruchirapalli, 1996), 243--256, Contemp. Math., 210,

Amer. Math. Soc., Providence, RI, 1998. (Reviewer: Matti Jutila) 11M06

(30A10)

 

 32          Balasubramanian, R., Ramachandra, K.

Two remarks on a paper: "On the distribution of multiplicities of zeros of

Riemann zeta function" [Czechoslovak Math. J. 44(119) (1994), no. 3,

385--404, MR1288160 (95m:11093)] by J. Moser. Bull. Calcutta Math. Soc. 89

(1997), no. 3, 199--208. (Reviewer: Daniel A. Goldston) 11M26

 

 33          Agarwal, A. K., Balasubrananian, R.

n-color partitions with weighted differences equal to minus two.

Internat. J. Math. Math. Sci. 20 (1997), no. 4, 759--768. (Reviewer: Christian

Krattenthaler) 05A17 (05A15 05A19 05A30 11P81)

 

 34          Balasubramanian, R., Raman, Venkatesh, Srinivasaragavan, G.

Finding scores in tournaments. J. Algorithms 24 (1997), no. 2, 380--394. (Reviewer: Moshe Rosenfeld) 05C20 (68Q25)

 

 35          Balasubramanian, R., Nagaraj, S. V.

Density of Carmichael numbers with three prime factors. Math. Comp. 66 (1997), no. 220, 1705--1708. (Reviewer: Andrew Granville) 11N25 (11Y11)

 

 36          Balasubramanian, R., Ramachandra, K., Sankaranarayanan, A.

On the zeros of a class of generalised Dirichlet series. XVIII. (A few remarks on Littlewood's theorem and Titchmarsh points). Hardy-Ramanujan J. 20 (1997), 12--28. (Reviewer: Kohji Matsumoto) 11M41

 

 37          Balasubramanian, R., Ramachandra, K.

Some local convexity theorems for the zeta-function-like analytic functions.

II. Hardy-Ramanujan J. 20 (1997), 2--11. (Reviewer: Matti Jutila) 11M06

(30A10)

 

 38          Adhikari, Sukumar Das, Balasubramanian, R.

On a question regarding visibility of lattice points.

Mathematika 43 (1996), no. 1, 155--158. (Reviewer: Werner Georg Nowak) 11H99

 

 39          Balasubramanian, R. Nagaraj, S. V.

Perfect power testing.

Inform. Process. Lett. 58 (1996), no. 2, 59--63. (Reviewer:

John B. Friedlander) 11Y16 (68Q25)

 

 40          Balasubramanian, R. Langevin, M., Shorey, T. N. Waldschmidt, M.

On the maximal length of two sequences of integers in arithmetic progressions with the same prime divisors. Monatsh. Math. 121 (1996), no. 4, 295--307. 11N25 (11J86)

 

 41          Balasubramanian, R. Ponnusamy, S.

An alternate proof of Hall's theorem on a conformal mapping inequality.

Bull. Belg. Math. Soc. Simon Stevin 3 (1996), no. 2, 209--213. 30C45 (30C35)

 

 42          Balasubramanian, R. Soundararajan, K.

On a conjecture of R. L. Graham. Acta Arith. 75 (1996), no. 1, 1--38.

(Reviewer: Jacek Fabrykowski) 11N05 (11A05 11N37)

 

 43          Balasubramanian, R. Raman, Venkatesh

Path balance heuristic for self-adjusting binary search trees.

Foundations of software technology and theoretical computer science (Bangalore, 1995), 338--348,

Lecture Notes in Comput. Sci., 1026, Springer, Berlin, 1995. 68P05 (68Q25)

 

 44          Agarwal, A. K., Balasubramanian, R.

Generalized gonal numbers and a new class of partitions.

J. Indian Math. Soc. (N.S.) 61 (1995), no. 3-4, 153--160. (

Reviewer: David M. Bressoud) 11P81 (05A17)

 

 45          Balasubramanian, R. Soundararajan, K.

Maximal sets of integers with distinct divisors.

Electron. J. Combin. 2 (1995), Research Paper 22, approx. 5 pp. (electronic). (Reviewer: A. J. Hildebrand) 11N37 (11A05)

 

 46          Balasubramanian, R. Ramachandra, K.

On Riemann zeta-function and allied questions.

II. Hardy-Ramanujan J. 18 (1995), 10--22. (Reviewer: D. R. Heath-Brown) 11M06 (11M41)

 

 47          Balasubramanian, R. Ramachandra, K.

On the zeros of a class of generalised Dirichlet series.

XV. Indag. Math. (N.S.) 5 (1994), no. 2, 129--144. (Reviewer: Kohji Matsumoto) 11M41

 

 48          Balasubramanian, R. Ramachandra, K.

On the zeros of a class of generalised Dirichlet series. XIV.

K. G. Ramanathan memorial issue.

Proc. Indian Acad. Sci. Math. Sci. 104 (1994), no. 1, 167--176. 11M41 (11M06)

 

 49          Balasubramanian, R. Raman, Venkatesh, Srinivasaraghavan, G.

The complexity of finding certain trees in tournaments. Algorithms and data structures (Montreal, PQ, 1993), 142--150,

Lecture Notes in Comput. Sci., 709, Springer, Berlin, 1993.

05C85 (05C05 68Q25)

 

 50          Balasubramanian, R. Shorey,

T. N. Squares in products from a block of consecutive integers.

Acta Arith. 65 (1993), no. 3, 213--220. (Reviewer: Andrew Granville) 11N25

 

 51          Balasubramanian, R. Shorey, T. N.

On the equation f(x+1)…. f(x+k)=f(y+1)…. f(y+mk). Indag. Math. (N.S.) 4 (1993), no. 3, 257--267. (Reviewer: A. Pethö) 11D41 (11B25)

 

 52          Balasubramanian, R. Ivi\'c, A., Ramachandra, K.

An application of the Hooley-Huxley contour. Acta Arith. 65 (1993), no.

1, 45--51. (Reviewer: Robert J. Anderson) 11M06

 

 53          Balasubramanian, R. Karunakaran, V., Ponnusamy, S.

A proof of Hall's conjecture on starlike mappings.

J. London Math. Soc. (2) 48 (1993), no. 2, 278--288. (Reviewer: James A. Hummel) 30C45

 

 54          Balasubramanian, R. Ramachandra, K.

On the zeros of ς(s)-a.

[XIII]. Acta Arith. 63 (1993), no. 4, 359--366. (Reviewer: Kohji Matsumoto) 11M06

 

 55          Balasubramanian, R. Ramachandra, K.

On the zeros of ς'(s)-a. [XII]. Acta Arith. 63 (1993), no. 2, 183--191.

(Reviewer: Kohji Matsumoto) 11M26 (11M06)

 

 56          Balasubramanian, R. Ramachandra, K.

On the zeros of a class of generalised Dirichlet series.

XI. Proc. Indian Acad. Sci. Math. Sci. 102 (1992), no. 3, 225--233. 11M41 (11M06)

 

 57          Balasubramanian, R. Ramachandra, K.

On the zeros of a class of generalised Dirichlet series. X. Indag. Math. (N.S.) 3 (1992), no. 4, 377--384. (Reviewer: Matti Jutila) 11M41

 

 58          Balasubramanian, R., Ramachandra, K.

Proof of some conjectures on the mean-value of Titchmarsh series. III.

Proc. Indian Acad. Sci. Math. Sci. 102 (1992), no. 2, 83--91.

(Reviewer: Robert J. Anderson) 11M41

 

 59          Balasubramanian, R., Murty, V. Kumar

Zeros of Dirichlet L-functions.

Ann. Sci. École Norm. Sup. (4) 25 (1992), no. 5, 567--615.

(Reviewer: Daniel A. Goldston) 11M26 (11M20)

 

 60          Balasubramanian, R., Ivić, A., Ramachandra, K.

The mean square of the Riemann zeta-function on the line σ=1.

Enseign. Math. (2) 38 (1992), no. 1-2, 13--25. (Reviewer: Tom Meurman)

11M06

 

 61          Balasubramanian, R., Ramachandra, K., Sankaranarayanan, A.

On the frequency of Titchmarsh's phenomenon for z(s).

VIII. Proc. Indian Acad. Sci. Math. Sci. 102 (1992), no. 1, 1--12. (Reviewer: O. H. Körner) 11M06

 

 62          Balasubramanian, R., Soundararajan, K.

On the additive completion of squares.

II. J. Number Theory 40 (1992), no. 2, 127--129. (Reviewer: H. L. Abbott) 11B75

 

 63          Balasubramanian, R., Ramachandra, K.

On the zeros of a class of generalised Dirichlet series.

VIII, IX. Hardy-Ramanujan J. 14 (1991), 21--33, 34--42.

(Reviewer: Matti Jutila) 11M41

 

 64          Balasubramanian, R., Ramachandra, K.

Proof of some conjectures on the mean-value of Titchmarsh series. II.

Hardy-Ramanujan J. 14 (1991), 1--20. (Reviewer: Tom Meurman) 11M41 (11M06)

 

 65          Adhikari, Sukumar Das, Balasubramanian, R.

A note on a certain error-term.

Arch. Math. (Basel) 56 (1991), no. 1, 37--40. (Reviewer: Armel Mercier) 11N56

 

 66          Balasubramanian, R., Murty, M. Ram

Elliptic pseudoprimes. II. Séminaire de Théorie des Nombres, Paris 1988--1989, 13--25,

Progr. Math., 91, Birkhäuser Boston, Boston, MA, 1990. (Reviewer: M. J. Narlikar) 11G05 (11A51 11N80)

 

 

 67          Balasubramanian, R., Ramachandra, K.

Proof of some conjectures on the mean-value of Titchmarsh series.

Hardy-Ramanujan J. 13 (1990), 1--20. (Reviewer: Tom Meurman) 11M06 (11M41)

 

 68          Balasubramanian, R., Ramachandra, K.

An alternative approach to a theorem of Tom Meurman. Acta Arith. 55 (1990), no. 4, 351--364. (Reviewer: J. B. Conrey) 11M06

 

 69          Balasubramanian, R., Ramachandra, K.

On the frequency of Titchmarsh's phenomenon for z(s).

VI. Acta Arith. 53 (1990), no. 4, 325--331. (Reviewer: O. H. Körner) 11M06

 

 70          Balasubramanian, R., Ramachandra, K.

Titchmarsh's phenomenon for ς(s). Number theory and related topics

(Bombay, 1988), 13--22,

Tata Inst. Fund. Res. Stud. Math., 12, Tata Inst. Fund. Res., Bombay, 1989. (Reviewer: Author's review (K.R.)) 11M06

 

 71          Balasubramanian, R., Ramachandra, K.

On the frequency of Titchmarsh's phenomenon for  ς(s). III. Proc. Indian Acad. Sci. Sect. A 86 (1977), no. 4, 341--351. (Reviewer: O. H. Korner) 10H05

 

 72          Adhikari, Sukumar Das, Balasubramanian, R., Sankaranarayanan, A.

An Ω-result related to r\sb 4(n).

Hardy-Ramanujan J. 12 (1989), 20--30. (Reviewer: James Lee Hafner) 11N37

 

 73          Balasubramanian, R., Ramachandra, K.

A lemma in complex function theory. I, II. Hardy-Ramanujan J. 12 (1989), 1--5, 6--13. (Reviewer: Aleksandar Ivi\'c) 11M06 (30A10)

 

 74          Balasubramanian, R., Shorey, T. N., Waldschmidt, M.

On the maximal length of two sequences of consecutive integers with the same prime divisors.

Acta Math. Hungar. 54 (1989), no. 3-4, 225--236. (Reviewer: D. R. Heath-Brown) 11J87 (11J86 11N25)

 

 75          Balasubramanian, R., Ramachandra, K.

Some local convexity theorems for the zeta-function-like analytic functions.

Hardy-Ramanujan J. 11 (1988), 1--12 (1989). (Reviewer: Aleksandar Ivi\'c)

11M06 (11M51)

 

 76          Balasubramanian, R., Ramachandra, K.

On square-free numbers.

Proceedings of the Ramanujan Centennial International

Conference (Annamalainagar, 1987), 27--30, RMS Publ., 1, Ramanujan Math.

Soc., Annamalainagar, 1988. (Reviewer: S. W. Graham) 11N37

 

 77          Adhikari, S. D., Balasubramanian, R., Sankaranarayanan, A.

On an error term related to the greatest divisor of

n, which is prime to k.

Indian J. Pure Appl. Math. 19 (1988), no. 9, 830--841. (Reviewer: E. J. Scourfield) 11N37

 

 78          Balasubramanian, R., Ramachandra, K.

On the frequency of Titchmarsh's phenomenon for ς(s).

Ark. Mat. 26 (1988), no. 1, 13--20. (Reviewer: O. H. Körner) 11M06

 

 79          Balasubramanian, R., Ramachandra, K., Subbarao, M. V.

On the error function in the asymptotic formula for the counting

function of k-full numbers.

Acta Arith. 50 (1988), no. 2, 107--118. (Reviewer: Z. Kry\v zius) 11N25

 

 80          Balasubramanian, R.

On the additive completion of squares.

J. Number Theory 29 (1988), no. 1, 10--12. (Reviewer: H. L. Abbott) 11B75

 

 81          Balasubramanian, R., Ramachandra, K.

On the number of integers n such that nd(n)£ x.

Acta Arith. 49 (1988), no. 4, 313--322. (Reviewer: Shigeru Kanemitsu) 11N45 (11N37)

 

 82          Balasubramanian, R.

The circle method and its implications.

Srinivasa Ramanujan centenary 1987. J. Indian Inst. Sci.

1987, Special Issue, 39--44. (Reviewer: Lawrence Somer) 01A60 (11-03 11P55)

 

 83          Balasubramanian, R.

A note on a result of Erdös, Sárközy and Sós.

Acta Arith. 49 (1987), no. 1, 45--53. (Reviewer: V. C. Harris) 11B34 (11P65)

 

 84          Balasubramanian, R., Ramachandra, K.

On an analytic continuation of z(s).

Indian J. Pure Appl. Math. 18 (1987), no. 9, 790--793. (Reviewer: Antanas Laurin\v cikas) 11M06

 

 85          Balasubramanian, R.

On the frequency of Titchmarsh's phenomenon for z(s).

IV. Hardy-Ramanujan J. 9 (1986), 1--10. (Reviewer: O. H. Körner) 11M06

 

 86          Balasubramanian, R.

Number theory and primality testing. Workshop on Mathematics of Computer Algorithms (Madras, 1986), A.5, 29 pp., IMS Rep., 111, Inst. Math. Sci., Madras, 1986. (Reviewer: Eric Bach) 11Y11 (11A51)

 

 87          Balasubramanian, R., Deshouillers, Jean-Marc, Dress, François

Problème de Waring pour les bicarrés. II.

Résultats auxiliaires pour le théorème asymptotique. (French)

[Waring's problem for biquadrates. II. Auxiliary results for the asymptotic theorem]

C. R. Acad. Sci. Paris Sér. I Math. 303 (1986), no. 5, 161--163. (Reviewer: D. J. Lewis) 11P05

 

 88          Balasubramanian, Ramachandran, Deshouillers, Jean-Marc, Dress, François

Problème de Waring pour les bicarrés. I. Schéma de la solution. (French) [Waring's problem for biquadrates. I. Sketch of the solution] C. R. Acad. Sci. Paris Sér. I Math. 303 (1986), no. 4, 85--88. (Reviewer: D. R. Heath-Brown) 11P05 (11D85)

 

 89          Balasubramanian, R., Ramachandra, K.

Progress towards a conjecture on the mean value of Titchmarsh series.

Acta Arith. 45 (1986), no. 4, 309--318. (Reviewer: Jürgen G. Hinz) 11M41

 

 90          Balasubramanian, R.

On Waring's problem:

g(4)£ 20. Hardy-Ramanujan J. 8 (1985), 1--40.

(Reviewer: D. R. Heath-Brown) 11P05

 

 91          Balasubramanian, R., Ramachandra, K.

A hybrid version of a theorem of Ingham. Number theory (Ootacamund, 1984), 38--46,

Lecture Notes in Math., 1122, Springer, Berlin, 1985. (Reviewer: H.-J. Bentz) 11M35

 

 92          Balasubramanian, R., Conrey, J. B. Heath-Brown, D. R.

Asymptotic mean square of the product of the Riemann zeta-function and a Dirichlet polynomial.

J. Reine Angew. Math. 357 (1985), 161--181. (Reviewer: Matti Jutila) 11M26 (11M20)

 

 93          Balasubramanian, R., Ramachandra, K.

Transcendental numbers and a lemma in combinatorics. Combinatorics and

applications (Calcutta, 1982), 57--59, Indian Statist. Inst., Calcutta,

1984. (Reviewer: Vichian Laohakosol) 11J81 (05A20)

 

 94          Balasubramanian, R., Ramachandra, K.

Mean-value of the Riemann zeta-function on the critical line.

Proc. Indian Acad. Sci. Math. Sci. 93 (1984), no. 2-3, 101--107. (Reviewer: S. W. Graham) 11M06 (11M26)

 

 95          Balasubramanian, R., Mozzochi, C. J.

An improved upper bound for G(k) in Waring's problem for relatively small

k. Acta Arith. 43 (1984), no. 3, 283--285. (Reviewer: H. G. Meijer) 11P05

 

 96          Balasubramanian, R., Ramachandra, K.

On the zeros of the Riemann zeta function and L-series. II. Hardy-Ramanujan J.

5 (1982), 1--30. (Reviewer: D. R. Heath-Brown) 11M06 (11M20 11M26)

 

 97          Balasubramanian, R., Murty, M. Ram

An W -theorem for Ramanujan's t-function.

Invent. Math. 68 (1982), no. 2, 241--252. (Reviewer: Bruce C. Berndt) 10D05 (10H25)

 

 98          Balasubramanian, R., Ramachandra, K.

Some problems of analytic number theory.

Hardy-Ramanujan J. 4 (1981), 13--40. (Reviewer: W. Schwarz) 10H05 (10H10)

 

 99          Balasubramanian, R., Ramachandra, K.

On the zeros of a class of generalised Dirichlet series. VI. Ark. Mat. 19 (1981), no. 2, 239--250. (Reviewer: E. Grosswald) 10H10 (10H99 30B50)

 

 100       Balasubramanian, R.

A note on Dirichlet's L-functions. Acta Arith. 38 (1980/81), no. 3, 273--283. (Reviewer: M. I. Israilov) 10H08

 

 101       Balasubramanian, R., Shorey, T. N.

On the equation a(x\sp{m}-1)/(x-1)=b(y\sp{n}-1)/(y-1).

Math. Scand. 46 (1980), no. 2, 177--182. (Reviewer: B. Stolt) 10B15

 

 102       Balasubramanian, R., Ramachandra, K.

Effective and noneffective results on certain arithmetical functions.

J. Number Theory 12 (1980), no. 1, 10--19. (Reviewer: Matti Jutila) 10H25

 

 103       Balasubramanian, R., Ramachandra, K.

Some problems of analytic number theory.

II. Studia Sci. Math. Hungar. 14 (1979), no. 1-3, 193--202 (1982). (Reviewer: W. Schwarz) 10H25 (10H05 30B50 44A10) 

 

 104       Balasubramanian, R.

On Waring's problem: g(4)£21. Hardy-Ramanujan J. 2 (1979), 31 pp. (Reviewer: O. H. Körner) 10J06

 

 105       Balasubramanian, R.

A note on Hurwitz's zeta-function.

Ann. Acad. Sci. Fenn. Ser. A I Math. 4 (1979), no. 1, 41--44. (Reviewer: C. G. Lekkerkerker) 10H10

 106       Balasubramanian, R., Ramachandra, K.

On the zeros of a class of generalized Dirichlet series.

J. Indian Math. Soc. (N.S.) 42 (1978), no. 1-4, 135--142 (1979). (Reviewer: E. Grosswald) 10H10 (30B50)

 

 107       Balasubramanian, R.

An improvement on a theorem of Titchmarsh on the mean square of | z({1/2}+it)|.

Proc. London Math. Soc. (3) 36 (1978), no. 3, 540--576. (Reviewer: E. Grosswald) 10H05 (10H99 30A16)

 

 108       Balasubramanian, R., Ramachandra, K.

On the zeros of a class of generalized Dirichlet series.

III. J. Indian Math. Soc. (N.S.) 41 (1977), no. 3-4, 301--315 (1978). (Reviewer: E. Grosswald) 10H10

 

 109       Balasubramanian, R., Ramachandra, K.

The place of an identity of Ramanujan in prime number theory.

Proc. Indian Acad. Sci. Sect. A 83 (1976), no. 4, 156--165. (Reviewer: Matti Jutila) 10H10 (10H15)