5 citations · 5 across the 7 of their papers we have counts for
8 papers · 1 filter
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…
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…
Fluctuations in the distribution of Hecke eigenvalues about the Sato-Tate measure
Neha Prabhu, Kaneenika Sinha
We study fluctuations in the distribution of families of -th Fourier coefficients of normalised holomorphic Hecke eigenforms of weight with respect to $SL_2(\ma…