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arXiv · 2001.11856

Large Hecke eigenvalues and an Omega result for non Saito--Kurokawa lifts

Pramath Anamby·Soumya Das·Ritwik Pal
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Abstract

We prove a result on the distribution of Hecke eigenvalues, $\mu_F(p^r)$ (for $r=1,2$ or $3$) of a non Saito--Kurokawa lift $F$ of degree $2$. As a consequence, we obtain an Omega result for the Hecke eigenvalues for such an $F$, which is the best possible in terms of orders of magnitude.

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Pramath Anamby, Soumya Das, Ritwik Pal. 2020-01-31. Large Hecke eigenvalues and an Omega result for non Saito--Kurokawa lifts. https://doi.org/10.1007/s11139-020-00328-0

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