Anup Biswanath Dixit

Anup Biswanath Dixit

Fellow
Mathematics
2254 3211
anupdixit @ imsc . res . in
211 New Building
Research Interests: 
  • Number Theory
Education: 
  • PhD, University of Toronto, 2018.
Career History: 
  • Coleman postdoctoral fellow at Queen's University, (2018-2020).
  • Inspire Faculty fellow at Chennai Mathematical Institute, (July-Dec, 2020).
  • Assistant professor at IMSc, (2020- ).
Courses Taught: 
  • Probabilistic number theory, Jan-May, 2024.
  • Graduate Algebra I,  Aug-Dec, 2023.
  • Introduction to Diophantine geometry, Jan-May, 2023.
  • Analytic theory of algebraic numbers, Feb-May, 2022.
Selected publications: 
  • On the distribution of phi(sigma(n)) (with S. Bhattacharjee), Integers, to appear.
  • 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).
  • A function related to the Mordell Weil rank of elliptic curves, (with M. R. Murty and S. Pathak), International Journal of number theory, to appear.
  • An effective bound on generalized Diophantine m-tuples (with S. Bhattacharjee, D. Saikia), Bulletin of Australian Math. Soc., 109, Issue 2, 242-253, (2024).
  • On Ihara's conjectures for Euler-Kronecker constants (with M. R. Murty), Acta Arithmetica, 210, 95-123, (2023).
  • On limit theorem of zeta functions, Proceedings of Subbarao conference, to appear.
  • A localized Erdos-Kac theorem for \omega_y(p+a) (with M. R. Murty), Hardy Ramanujan Journal, 45, 74-83, (2022).
  • Generalized Diophantine m-tuples (with S. Kim and M. R. Murty), Proceedings of AMS, 150, no. 4, 1455-1465, (2022).
  • On the generalized Brauer-Siegel theorem for asymptotically exact families with solvable normal closure, Int. Math. Res. Not. IMRN, 2021, issue. 14, (2021), 10941-10956.
  • Large values of L-functions on 1-line (with K. Mahatab), Bulletin of Australian Mathematical Society, 103, no. 2, (2021), 230-243.
  • A localized Erdos-Kac theorem (with M. R. Murty), Hardy-Ramanujan journal, 43, (2020), 17-23.
  • On Euler-Kronecker constants and the generlized Brauer-Siegel theorem, Proceedings of American Mathematical Society, 148, (2020), 1399-1414.
  • A uniqueness property of general Dirichlet series,  Journal of Number theory,  206, (2020), 123-137.
  • The Lindelof class of $L$-functions, II (with V. K. Murty), International Journal of number theory, 15, no. 10, (2019), 2201-2221.
  • The Lindelof class of $L$-functions, PhD thesis, University of Toronto, 2018.
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