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Research

Number Theory

Members

  • Prof. K.M. Tsang, Honorary Professor
    Number theory
  • Dr. B. Kane
    Number theory, combinatorics
  • Dr. Y.K. Lau
    Analytic number theory, automorphic forms, L-functions
  • Dr. S. Banerjee, Postdoctoral Fellow
    Number theory
  • Dr. M.-J. JANG, Postdoctoral Fellow
    Number Theory and Combinatorics, in particular integer partitions, q-series and modular forms
  • Dr. S. Pujahari, Postdoctoral Fellow
    Automorphic forms, Zeros of L-Functions, Half-integral weight modular forms, Equidistribution Theory, Exponential sums, Sign changes

Conferences and Workshops

 

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Selected Publications

  • Tsang K.-M., Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function, Science China Mathematics, 53 (2010), p.2561-2572
  • King Cheong Fung and Ben Kane, On sign changes of cusp forms and the halting of an algorithm to construct a supersingular elliptic curve with a given endomorphism ring, Mathematics of Computation, 87 (2018), p.501-514
  • Lau Y.-K. and Wang Y., Absolute values of L-functions for GL(n,R) at the point 1, Adv. Math., 335 (2018), p.759-808
  • S. Banerjee, K. Chakraborty, Asymptotic behaviour of a Lambert series à la Zagier: Maass case, The Ramanujan Journal, to appear.
  • A. Folsom, M.-J. Jang, S. Kimport, H. Swisher, Quantum modular forms and singular combinatorial series with repeated roots of unity, submitted for publication.
  • J. Meher, S. Pujahari and K.D. Shankhadhar, Zeros of L-functions attached to cusp forms of half integral weights, Proc. Amer. Math. Soc., 147 (2019), p.131-143

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