3 citations · 8 across the 6 of their papers we have counts for
7 papers
On Berndt-Straub conjectures about zeros of generalized Ramanujan polynomials
Siddhi Pathak
We settle two conjectures of Berndt and Straub asserting that all nonzero zeros of the generalized Ramanujan polynomials and lie on the unit circle for…
A note on transcendence of special values of functions related to modularity
Tapas Bhowmik, Siddhi Pathak
In this note, we study the arithmetic nature of values of modular functions, meromorphic modular forms and meromorphic quasi-modular forms with respect to arbitrary congruence subg…
Linear independence of values of the -exponential and related functions
Anup B. Dixit, Veekesh Kumar, Siddhi S. Pathak
In this paper, we establish the linear independence of values of the -analogue of the exponential function, and its derivatives at specified algebraic arguments, when $…
Distribution and Non-vanishing of special values of -series attached to Erdős functions
Siddhi Pathak
In a written correspondence with A. Livingston, Erdős conjectured that for any arithmetical function , periodic with period , taking values in when and…
Special values of derivatives of -series and generalized Stieltjes constants
M. Ram Murty, Siddhi Pathak
The connection between derivatives of for periodic arithmetical functions at and generalized Stieltjes constants has been noted earlier. In this paper, we utiliz…
A vanishing criterion for Dirichlet series with periodic coefficients
Tapas Chatterjee, M. Ram Murty, Siddhi Pathak
We address the question of non-vanishing of where is an algebraic-valued, periodic arithmetical function. We do this by characterizing algebraic-valued, periodic funct…
On a conjecture of Livingston
Siddhi Pathak
In an attempt to resolve a folklore conjecture of Erdős regarding the non-vanishing at of the -series attached to a periodic arithmetical function with period and valu…