5 citations · 5 across the 7 of their papers we have counts for
9 papers
Explicit zero-free regions for automorphic -functions
Steven Creech, Alia Hamieh, Simran Khunger +3
Let be the -function associated with a newform of even weight , squarefree level and trivial nebentypus. In this paper, we establish a new explicit zero-free…
A discrepancy result for Hilbert modular forms
Baskar Balasubramanyam, Jishu Das, Kaneenika Sinha
Let be a totally real number field and Let be the space of holomorphic Hilbert cusp forms with respect to , of we…
Higher moments of the pair correlation function for Sato-Tate sequences
Jewel Mahajan, Kaneenika Sinha
In \cite{BS}, Balasubramanyam and the second named author derived the first moment of the pair correlation function for Hecke angles lying in small subintervals of upon ave…
New and Explicit Constructions of Unbalanced Ramanujan Bipartite Graphs
Shantanu Prasad Burnwal, Kaneenika Sinha, Mathukumalli Vidyasagar
The objectives of this article are three-fold. Firstly, we present for the first time explicit constructions of an infinite family of \textit{unbalanced} Ramanujan bigraphs. Second…
Central limit theorems for elliptic curves and modular forms with smooth weight functions
Stephan Baier, Neha Prabhu, Kaneenika Sinha
The second and third-named authors (arXiv:1705.04115) established a Central Limit Theorem for the error term in the Sato-Tate law for families of modular forms. This method was ada…
Pair correlation statistics for Sato-Tate sequences
Baskar Balasubramanyam, Kaneenika Sinha
We investigate the pair correlation statistics for sequences arising from Hecke eigenvalues with respect to spaces of primitive modular cusp forms. We derive the average pair corre…