Research

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

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
• Ching T.W. and Tsang K.-M., Small prime solutions to linear equations in three variables, Acta Arith., 178 (2017), p.57-76
• Kong K.-L. and Tsang K.-M., On some mean values associated with the divisor function and the Riemann zeta-function, Proc. Steklov Inst. Math., 296 (2017), p.142-153
• Tsang K.-M. and Zhao L., On Lagrange's four squares theorem with almost prime variables, J. Reine Angew. Math., 726 (2017), p.129-171
• 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
• Kathrin Bringmann, Ben Kane, Steffen Loebrich, Ken Ono and Larry Rolen, On Divisors of Modular Forms, Advances in Mathematics, 329 (2018), p.541-554
• Kathrin Bringmann, Ben Kane, Daniel Parry, and Robert Rhoades, On the Andrews-Zagier asymptotics for partitions without sequences, Advances in Mathematics, 309 (2017), p.436-451
• Kathrin Bringmann and Ben Kane, A problem of Petersson about weight 0 meromorphic modular forms, Research in the Mathematical Sciences, 3 (2016), p.1-31
• 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
• Zhang D., Lau Y.-K., Wang Y., Remark on the paper "On products of Fourier coefficients of cusp forms", Archiv der Mathematik, 108 (2017), p.263-269
• Lau Y.-K., Liu J., Wu J., Local Behavior of Arithmetical Functions with Applications to Automorphic L-Functions, International Mathematics Research Notices, 2017 (2017), p.4815-4839
• Lau Y.-K., Royer E., Wu J., Sign of Fourier coefficients of modular forms of half-integral weight, Mathematika, 62 (2016), p.866-883
• S. Banerjee, K. Chakraborty, Asymptotic behaviour of a Lambert series à la Zagier: Maass case, The Ramanujan Journal, to appear.
• S. Banerjee, S. Kanemitsu, Convolution formula as a Stieltjes resultant, Kyushu Journal of Mathematics, 72 (2018), p.429-439
• S. Banerjee, A note on signs of Fourier coefficients of two cusp forms, Proc. Indian Acad. Sci. (Math Sci.), 128:43 (2018), p.1-6
• S. Banerjee, N. L. Wang, On the product of Hurwitz zeta-functions, Proc. Japan Acad. Ser. A, Math Sci., 93 (2017), p.31-36
• A. Folsom, M.-J. Jang, S. Kimport, H. Swisher, Quantum modular forms and singular combinatorial series with repeated roots of unity, submitted for publication.
• M.-J. Jang, J. Lovejoy, Identities for overpartitions with even smallest parts, Int. J. Number Theory, 14 (2018), p.2023-2033
• M.-J. Jang, B. Kim, On spt-crank type functions, Ramanujan J., 45 (2018), p.211-225
• M.-J. Jang, S. Loebrich, Radial limits of the Universal Mock Theta function g₃, Proceedings of the AMS, 145 (2017), p.925-935
• 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
• M.K. Pandey, S. Pujahari and J.P. Saha, Distinguishing pure representations by normalised traces, J. Number Theory, 195 (2018), p.217-225
• J. Meher, S. Pujahari and K. Srinivas, Zeros of L-functions attached to modular forms of half-integral weights, Bull. Lond. Math. Soc., 49 (2017), p.926-936
• R. Murty and S. Pujahari, Distinguishing Hecke eigen forms, Proc. Amer. Math. Soc., 145 (2017), p.1899-1904

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