1 citations · 1 across the 5 of their papers we have counts for
8 papers
Lambert series of logarithm, the derivative of Deninger's function and a mean value theorem for
Soumyarup Banerjee, Atul Dixit, Shivajee Gupta
An explicit transformation for the series Re, which takes to , is obtained for the first time. Th…
On a Conjecture of Sun about sums of restricted squares
Soumyarup Banerjee
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 in…
Finiteness theorems for universal sums of squares of almost primes
Soumyarup Banerjee, Ben Kane
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.
Number field analogue of divisor function à la Koshliakov
Soumyarup Banerjee, Rahul Kumar
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 Koshliak…
Explicit identities on zeta values over imaginary quadratic field
Soumyarup Banerjee, Rahul Kumar
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 tota…
Piltz divisor problem over number fields à la Voronoï
Soumyarup Banerjee
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 Voron…