1 citations · 3 across the 8 of their papers we have counts for
8 papers
A Class of Identities Associated with Dirichlet Series Satisfying Hecke's Functional Equation
Bruce C. Berndt, Atul Dixit, Rajat Gupta +1
We consider two sequences and , , generated by Dirichlet series of the forms $$\sum_{n=1}^{\infty}\frac{a(n)}{λ_n^{s}}\qquad\text{and}\qquad \sum_{n=1}…
Koshliakov zeta functions I: Modular Relations
Atul Dixit, Rajat Gupta
We examine an unstudied manuscript of N.~S.~Koshliakov over pages long and containing the theory of two interesting generalizations and of the Riemann zeta…
Extended higher Herglotz functions I. Functional equations
Atul Dixit, Rajat Gupta, Rahul Kumar
In 1975, Don Zagier obtained a new version of the Kronecker limit formula for a real quadratic field which involved an interesting function which is now known as the \emph{H…
On a certain divisor function in Number fields
Rajat Gupta, Sudip Pandit
The main aim of this paper is to study an analogue of the generalized divisor function in a number field , namely, . The Dirichlet series associate…
Generalizations of the Andrews-Yee identities associated with the mock theta functions and
Bruce C. Berndt, Atul Dixit, Rajat Gupta
George Andrews and Ae Ja Yee recently established beautiful results involving bivariate generalizations of the third order mock theta functions and , thereby extending…
On Sum-Of-Tails Identities
Rajat Gupta
In this article, a finite analogue of the generalized sum-of-tails identity of Andrews and Freitas is obtained. We derive several interesting results as special cases of this analo…