Sanoli Gun
Professor
Mathematics
2254 3202
sanoli @ imsc . res . in
202 New Building
Research Interests:
Number Theory
Education:
Phd from Harish Chandra Research Institute
Career History:
 Post doctoral fellow at University of Toronto (2006  2007)
 Coleman Postdoctoral fellow at Queen's University for (2007  2008)
 Assistant Professor at IMSc (2008  2011)
 Reader at IMSc (2011  2015)
 Professor G at IMSc (2015  2020)
 Professor H at IMSc (2020  )
Courses Taught:
 Algebra
 Algebraic number Theory
 Complex Analysis
 Topology
 Riemann Surfaces
 Modular forms
 Algebraic curves
 Transcendental number theory
 A course in arithmetic
Selected publications:
 Extreme values of $L$ functions of Newforms (with Rashi Lunia), to appear in Bull London Math. Soc.
 On the largest prime factor of nonzero Fourier coefficients of Hecke eigenforms (with Sunil L Naik), Forum Math 36 (2024), no. 1, 173192.

On Hecke eigenvalues of Ikeda lifts (with Sunil L. Naik), submitted.

Multiplicative independence of $3$ singular moduli: effective approach (with Y. Bilu and E. Tron), submitted.

The set of values of any finite iteration of Euler's $\phi$ function contains long arithmetic progression (with R. Balasubramanian and J. M. Deshouillers), to appear in Acta Arithmetica.
 On nonArchimedean analogue of AtkinSerre Question (with Y. Bilu and S. L. Naik), to appear in Math. Annalen.
 An application of counting ideals in ray classes (with O. Ramar\'e and J. Sivaraman), submitted.
 Representing ideal classes of ray class groups by product of prime ideals of small size (with J.M. Deshouillers, O. Ramar\'e and J. Sivaraman), submitted.
 Large Fourier coefficients of HalfInteger weight modular forms (with W. Kohnen and K. Soundararajan), to appear in Amer J. Math.
 Counting ideals in ray classes (with O. Ramar\'e and J. Sivaraman), J. Number Theory 243 (2023), 1337.
 On linear independence of Dirichlet $L$ values (with N. Kandhil and P. Philippon), J. Number Theory 244 (2023), 6383.
 On an extension of a question of Baker (with Neelam Kandhil), Int. J. Number Theory 19 (2023), no. 2, 375388.
 Uniform explicit Stewart theorem on prime factors of linear recurrences (with Y. Bilu and H. Hong), Acta Arith 206 (2022), no. 3, 223243.
 Critical points of Eisenstein series (with J. Oesterl\'e), Mathematika 68 (2022), no. 1, 259298.
 Distinguishing newforms by their Hecke eigenvalues (with B. Paul and V. Kumar Murty), Res. Number Theory 7 (2021), no. 3, Paper No. 49, 24 pp.
 Arithmetic behaviour of Hecke eigenvalues of Siegel cusp forms of degree two (with B. Paul and W. Kohnen), Ramanujan J. 54 (2021), no. 1, 4362.
 On the local structure of the set of values of Euler's $\phi$ function (with J.M. Deshouillers and P. Eyyunni), Acta Arith. 199 (2021), no 1, 103109.
 On Euclidean Ideal classes in certain Abelian extensions (with JM. Deshouillers and J. Sivaraman), Math Z 296 (2020), no.12, 847859.
 Lifting of Elliptic curves (with V. Kumar Murty), Pacific J. Math 301 (2019), no. 1, 101106.
 Erratic behaviour of Fourier coefficients of modular forms in short intervals (with Y. Bilu, JM. Deshouillers and F. Luca), Compositio Math. 154 (2018), no.11, 24412461.
 On existence of Euclidean ideal classes in real cubic and quadratic fields with cyclic class groups (with J. Sivaraman), Michigan Math. J. 69 (2020), no. 2, 429448.
 On the RamanujanPetersson conjecture for modular forms of halfintegral weight (with W. Kohnen), Forum Math. 31 (2019), no.3, 703711.
 Transcendental sums related to the zeros of zeta functions (with M. Ram Murty and P. Rath), Mathematika 64 (2018), no. 3, 875897.
 On Hecke eigenvalues of Siegel modular forms in the Maass space (with B. Paul and J. Sengupta), Forum Math. 30 (2018), no.3, 775783.
 Multiple Lerch zeta functions and an idea of Ramanujan (with B. Saha), MIchigan Math. J., 67 (2018), no. 2, 267287.
 Simultaneous sign change of Fouriercoefficients of two cusp forms (with W. Kohnen and P. Rath), Arch. Math., 105 (2015), no. 5, 413424.
 A number field extension of a question of Milnor (with T. Chatterjee and P. Rath), SCHOLAR—a scientific celebration highlighting open lines of arithmetic research, 1526, Contemporary Math, Amer. Math. Soc. 2015.
 An explicit bound for the first sign change of the Fourier coefficients (with YJ Choie and W. Kohnen), Int. Math. Res. Not. 12 (2015), 37823792.
 The circle method and nonlacunarity of modular functions (with J. Oesterl\'e), Journal f\"ur die reine und angewandte Mathematik 703 (2015), 125.
 Transcendence of generalized EulerLehmer constants (with E. Saha and S. Sinha), J. Number Theory 145 (2014), 329339.
 On zeros of generalized Hurwitz zeta functuions (with T. Chatterjee), J. Number Theory 145 (2014), 352361.
 On zeros of Quasimodular forms (with R.Balasubramanian), J. Number Theory 32 (2012), no. 10, 22282241.
 On a conjecture of Chowla and Milnor (with M. Ram Murty and P. Rath), Canad. J. Math 63 (2011), no. 6, 13281344.
 Transcendental values of certain Eichler integrals (with M. Ram Murty and P. Rath), Bull. London Math. Soc 43 (2011), no. 5, 939952.
 A variant of Lehmer's conjecture, II: The CMcase (with V. Kumar Murty), Canad. J. Math. 63 (2011), no. 2, 298326.
 Transcendental nature of special values of Lfunctions (with M. Ram Murty and P. Rath), Canad. J. Math. 63 (2011), no. 1, 136152.
 A canonical subspace of modular forms of halfintegral weight (with M. Manickam and B. Ramakrishnan), Math. Ann. 347 (2010), no. 4, 899916.
 On the zeros of certain cusp forms, Math. Proc. Cambridge Philos. Soc. 141 (2006), no. 2, 191195.