Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n, R)/SO(n)
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We establish the Sato-Tate equidistribution of Hecke eigenvalues on average for families of Hecke--Maass cusp forms on SL(n,R)/SO(n). For each of the principal, symmetric square and exterior square L-functions we verify that the families are essentially cuspidal and deduce the level distribution with restricted support of the low-lying zeros. We also deduce average estimates toward Ramanujan.
Originalsprog | Engelsk |
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Tidsskrift | Algebra & Number Theory |
Vol/bind | 15 |
Udgave nummer | 6 |
Sider (fra-til) | 1343-1428 |
ISSN | 1937-0652 |
DOI | |
Status | Udgivet - 2021 |
Links
- https://arxiv.org/pdf/1505.07285.pdf
Indsendt manuskript
ID: 284427103