205 citations · 703 across the 45 of their papers we have counts for
4 papers · 1 filter
Large values of newforms on GL(2) with highly ramified central character
Abhishek Saha
We give a lower bound for the sup-norm of an -normalized newform in an irreducible, unitary, cuspidal representation of over a number field. When the central charac…
Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two (with an Appendix by E. Kowalski and A. Saha)
Emmanuel Royer, Jyoti Sengupta, Jie Wu
In this paper, we show that half of non-zero coefficients of the spinor zeta function of a Siegel cusp form of genus 2 are positive and half are negative.
On sup-norms of cusp forms of powerful level
Abhishek Saha
Let f be an L^2-normalized Hecke--Maass cuspidal newform of level N and Laplace eigenvalue λ. It is shown that |f|_\infty <<_{λ, ε} N^{-1/12 + ε} for any ε>0. The exponent is furth…
Local and global Maass relations (expanded version)
Ameya Pitale, Abhishek Saha, Ralf Schmidt
We characterize the irreducible, admissible, spherical representations of GSp(4,F) (where F is a p-adic field) that occur in certain CAP representations in terms of relations satis…