Kloosterman Sums and Maass Cusp Forms of Half Integral Weight for the Modular Group

DOI10.1093/imrn/rnw234zbMath1453.11102arXiv1510.05191OpenAlexW2963082219MaRDI QIDQ4619308

Nickolas Andersen, Scott Ahlgren

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05191

zbMATH Keywords

Kloosterman sumsLinnik's conjectureMaass cusp forms of half integral weight

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Gauss and Kloosterman sums; generalizations (11L05)

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A symplectic restriction problem ⋮ Effective estimates for the smallest parts function ⋮ Rademacher expansions and the spectrum of 2d CFT ⋮ Unnamed Item ⋮ Algebraic and transcendental formulas for the smallest parts function ⋮ A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight ⋮ Modular invariants for real quadratic fields and Kloosterman sums ⋮ On sums of Kloosterman and Gauss sums ⋮ A spectral proof of class number one ⋮ Effective bounds for the Andrews spt-function ⋮ Maass forms and the mock theta function \(f(q)\) ⋮ Uniform bounds for sums of Kloosterman sums of half integral weight ⋮ Hybrid subconvexity and the partition function

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