Sato-Tate equidistribution for families of Hecke-Maass forms on SL(n, R)/SO(n)
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
---|---|
Journal | Algebra & Number Theory |
Volume | 15 |
Issue number | 6 |
Pages (from-to) | 1343-1428 |
ISSN | 1937-0652 |
DOIs | |
Publication status | Published - 2021 |
- automorphic forms, L-functions, Arthur-Selberg trace formula
Research areas
Links
- https://arxiv.org/pdf/1505.07285.pdf
Submitted manuscript
ID: 284427103