15 citations · 47 across the 11 of their papers we have counts for
11 papers
Semi-abelian analogues of Schanuel Conjecture and applications
Cristiana Bertolin, Patrice Philippon, Biswajyoti Saha +1
In this article we study Semi-abelian analogues of Schanuel conjecture. As showed by the first author, Schanuel Conjecture is equivalent to the Generalized Period Conjecture applie…
Multiple Stieltjes constants and Laurent type expansion of the multiple zeta functions at integer points
Biswajyoti Saha
In this article, we study the local behaviour of the multiple zeta functions at integer points and write down a Laurent type expansion of the multiple zeta functions around these p…
An abelian analogue of Schanuel's conjecture and applications
Patrice Philippon, Biswajyoti Saha, Ekata Saha
In this article we study an abelian analogue of Schanuel's conjecture. This conjecture falls in the realm of the generalised period conjecture of Y. Andr{é}. As shown by C. Bertoli…
A conjecture about multiple -values
Biswajyoti Saha
For positive integers with , the multiple -value is defined by the series $\sum\limits_{n_1 > \ldots > n_r > 0 \atop n_i \text{ o…
Finite Ramanujan expansions and shifted convolution sums of arithmetical functions, II
Giovanni Coppola, M. Ram Murty
We continue our study of convolution sums of two arithmetical functions and , of the form , in the context of heuristic asymptotic formulæ. Here,…
Multiple Dirichlet series associated to additive and Dirichlet characters
Biswajyoti Saha
In this article we study analytic properties of the multiple Dirichlet series associated to additive and Dirichlet characters. For the multiple Dirichlet series associated to addit…
Finite Ramanujan expansions and shifted convolution sums of arithmetical functions
Giovanni Coppola, M. Ram Murty, Biswajyoti Saha
For two arithmetical functions and , we study the convolution sum of the form in the context of its asymptotic formula with explicit error terms…
Multiple Lerch zeta functions and an idea of Ramanujan
Sanoli Gun, Biswajyoti Saha
In this article, we derive meromorphic continuation of multiple Lerch zeta functions by generalising an elegant identity of Ramanujan. Further, we describe the set of all possible…
On the error term in a Parseval type formula in the theory of Ramanujan expansions II
Giovanni Coppola, M. Ram Murty, Biswajyoti Saha
For two arithmetical functions and with absolutely convergent Ramanujan expansions, Murty and Saha have recently derived asymptotic formulas with error term for the convolu…
On the error term in a Parseval type formula in the theory of Ramanujan expansions
M. Ram Murty, Biswajyoti Saha
Given two arithmetical functions we derive, under suitable conditions, asymptotic formulas with error term, for the convolution sums , building on…
On the zeros of weakly holomorphic modular forms
Sanoli Gun, Biswajyoti Saha
In this article, we study the nature of zeros of weakly holomorphic modular forms. In particular, we prove results about transcendental zeros of modular forms of higher levels and…