Non-split sums of coefficients of \(\mathrm{GL}(2)\)-automorphic forms

DOI10.1007/s11856-012-0112-2zbMath1334.11035arXiv1106.1139OpenAlexW2020782321MaRDI QIDQ375686

Jacob Tsimerman, Nicolas Templier

Publication date: 31 October 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.1139

zbMATH Keywords

Maass formsholomorphic formsnon-split smoothed sumssmoothed sums of Dirichlet coefficientsthe Selberg eigenvalue conjecture

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (12)

Quantum variance for dihedral Maass forms ⋮ Summing Hecke eigenvalues over polynomials ⋮ The average of the divisor function over values of a quadratic polynomial ⋮ Counting integer points on quadrics with arithmetic weights ⋮ Bounds for twisted symmetric square L-functions via half-integral weight periods ⋮ Effective equidistribution of shears and applications ⋮ A spectral proof of class number one ⋮ A twist of the Gauss circle problem by holomorphic cusp forms ⋮ Small Representations by Indefinite Ternary Quadratic Forms ⋮ Equidistribution of shears and their arithmetic applications ⋮ Explicit methods in number theory. Abstracts from the workshop held July 22--28, 2018 ⋮ CLASS NUMBER ONE FROM ANALYTIC RANK TWO

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