4 papers · 1 filter
On special values of Koshliakov zeta functions
Yashovardhan Singh Gautam, Rahul Kumar
In this paper, we study the Koshliakov zeta function , whose theory appears to be more involved than that of its counterpart , owing to the fact that its defining s…
Kronecker second limit formula for real quadratic fields
YoungJu Choie, Rahul Kumar
In this paper, the second Kronecker ``limit" formula for a real quadratic field is established for the first time. More precisely, we obtain the second Kronecker limit formula of Z…
Period Function of Maass forms from Ramanujan's Lost Notebook
YoungJu Choie, Rahul Kumar
The Lost Notebook of Ramanujan contains a number of beautiful formulas, one of which can be found on its page 220. It involves an interesting function, which we denote as $\mathcal…
Arithmetic properties of the Herglotz-Zagier-Novikov function
YoungJu Choie, Rahul Kumar
In this article, we undertake the study of the function , which we refer to as the Herglotz-Zagier-Novikov function. This function appears in Novikov's work on…