3 citations · 9 across the 10 of their papers we have counts for
10 papers
Estimates of automorphic forms on
Anilatmaja Aryasomayajula, Baskar Balasubramanyam
For , let be a torsion-free, finite-index subgroup, where denotes the ring of integers of a totally imaginary…
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…
Estimates of cusp forms for certain cocompact arithmetic subgroups
Anilatmaja Aryasomayajula, Baskar Balasubramanyam
In this article, we derive a sub convexity estimate of Hecke eigen cusp forms associated to certain cocompact arithmetic subgroups of SL(2,R). The main result can be considered as…
A -adic adjoint -function and the ramification locus of the Hilbert modular eigenvariety
Baskar Balasubramanyam, John Bergdall, Matteo Longo
Let be a totally real field and the middle-degree eigenvariety for Hilbert modular forms over , constructed by Bergdall--Hansen. We study the ramification locu…
-adic Asai -functions attached to Bianchi cusp forms
Baskar Balasubramanyam, Eknath Ghate, Ravitheja Vangala
We establish a rationality result for the twisted Asai L-values attached to a Bianchi cusp form and construct distributions interpolating these L-values. Using the method of abstra…
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…