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  • Banerjee, Soumyarup; Chakraborty, Kalyan; Hoque, Azizul (Elsevier, 2020-10)
    J. R. Wilton obtained an expression for the product of two Riemann zeta functions. This expression played a crucial role to find the approximate functional equation for the product of two Riemann zeta functions in the ...
  • Banerjee, Soumyarup; Kumar, Rahul (Cornell University, 2021-12)
    In this article, we obtain transformation formulas analogous to the identity of Ramanujan, Hardy and Littlewood in the setting of primitive Maass cusp form over the congruence subgroup Γ0(N) and also provide an equivalent ...
  • Banerjee, Soumyarup; Kumar, Rahul (Cornell University, 2021-05)
    In this article, we study special values of the Dedekind zeta function over an imaginary quadratic field. The values of the Dedekind zeta function at any even integer over any totally real number field is quite well known ...
  • Banerjee, Soumyarup; Kane, Ben (Cornell University Library, 2021-06)
    In this paper we study quadratic forms which are universal when restricted to almost prime inputs, establishing finiteness theorems akin to the Conway- Schneeberger 15 theorem.
  • Banerjee, Soumyarup; Dixit, Atul; Gupta, Shivajee (Cornell University Library, 2022-05)
    An explicit transformation for the series ∑n=1∞log(n)eny−1, Re(y)>0, which takes y to 1/y, is obtained for the first time. This series transforms into a series containing ψ1(z), the derivative of Deninger's function R(z). ...
  • Banerjee, Soumyarup; Kumar, Rahul (Cornell University Library, 2021-06)
    In this article, we study a divisor function in an arbitrary number field akin to Koshliakov's work on Vorono\"{\dotlessi} summation formula. More precisely, we generalize Koshliakov's kernel and Koshliakov's transform ...
  • Banerjee, Soumyarup (Cornell University Library, 2022-02)
    In this paper, we investigate sums of four squares of integers whose prime factorizations are restricted, making progress towards a conjecture of Sun that states that two of the integers may be restricted to the forms 2a3b ...
  • Banerjee, Soumyarup (American Mathematical Society, 2021-01)
    In this article, we study the Piltz divisor problem, which is sometimes called the generalized Dirichlet divisor problem, over number fields. We establish an identity akin to Vorono�'s formula concerning the error term in ...

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