Anup Dixit

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I am interested in analytic and algebraic number theory. I work on problems related to families of L-functions, generalized Brauer-Siegel conjecture, infinite extensions of number fields, universality of L-functions, Euler-Kronecker constants, Diophantine geometry and probabilistic number theory.

Publications/Pre-prints

  1. The Lindelof class of L-functions, PhD Thesis, University of Toronto, 2018.

  2. Uniqueness results for a class of L-functions, GANITA: Conference on Geometry, Algebra, Number Theory and their Information Technology Applications, Springer Proceedings in Mathematics and Statistics, , 163-181, (2018).

  3. The Lindelof class of L-functions II (with V. K. Murty), International Journal of Number Theory, 15, no. 10, 2201-2221, (2019).

  4. On the Selberg class of L-functions, Proceedings of Ropar Conference, RMS- Lecture Notes series, No. 26, 21-42, (2020).

  5. On Euler-Kronecker constants and the generalized Brauer-Siegel theorem, Proceedings of AMS, 148, 1399-1414, (2020).

  6. A Uniqueness property of general Dirichlet series, Journal of number theory, 206, 123-137, (2020).

  7. A localized Erdos-Kac theorem, (with M. R. Murty), Hardy-Ramanujan journal, 43 , 17-23, (2020).

  8. On Large values of a class of L-functions on the 1-line (with K. Mahatab), Bulletin of Australian Mathematical Society, 103, no. 2, 230-243, (2021).

  9. On the Generalized Brauer-Siegel Theorem for asymptotically exact families with solvable Galois closure, International Mathematics Research Notices (IMRN), 2021 , issue 14, 10941-10956, (2021).

  10. On the generalised Diophantine m-tuples, (with S. Kim and M. R. Murty), Proceedings of AMS , 150 , no. 4, 1455-1465, (2022).

  11. On limit theorem of zeta-functions , Proceedings of Subbarao conference, to appear.

  12. A localized Erdos-Kac theorem for omega_y(p+a) , (with M. R. Murty), Hardy-Ramanujan journal , 45,74-83, (2022).

  13. On Ihara's conjectures for Euler-Kronecker constants , (with M. R. Murty), Acta Arithmetica, 210, 95-123, (2023). Errata

  14. An effective bound on generalized Diophantine m-tuples, (with S. Bhattacharjee and D. Saikia), Bulletin of Australian Math. Soc., 109, Issue 2, 242-253, (2024).

  15. Linear independence of values of the q-exponentials and related functions, (with V. Kumar and S. Pathak), Bulletin of Australian Math. Soc., 109 , Issue 3, 453-463, (2024).

  16. Lower bound heights of algebraic numbers and low lying zeros of Dedekind zeta function, (with S. Kala), submitted .

  17. A consequence of Tate's conjecture on the order of pole of certain L-functions, (with V. K. Murty), submitted.

  18. A function related to the Mordell-Weil rank of elliptic curves, (with M. R. Murty and S. Pathak), International Journal of number theory, 20, no. 9, 2267-2275, (2024).

  19. On the distribution of phi(sigma(n)), (with S. Bhattacharjee), Integers, 24, A65, (2024).

  20. Bogomolov property for infinite non-Galois extensions, (with S. Kala), submitted.

  21. Lehmer's conjecture and p-adic distribution for algebraic numbers with small height,(with S. Kala), submitted .

  22. Zeta-functions on infinite extensions, submitted.

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