Maass Waveforms and Low-Lying Zeros

DOI10.1007/978-3-319-22240-0_2zbMath1357.11085arXiv1306.5886OpenAlexW1790429839MaRDI QIDQ2800625

Steven J. Miller, Geoffrey Iyer, Nadine Amersi, Liyang Zhang, Oleg Lazarev, Levent Alpoge

Publication date: 18 April 2016

Published in: Analytic Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5886

zbMATH Keywords

orthogonal matricesPetersson formulacuspidal Maass formsKatz-Sarnak density conjecture

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Other Dirichlet series and zeta functions (11M41)

Related Items (6)

Some Results in the Theory of Low-Lying Zeros of Families of L-Functions ⋮ Determining optimal test functions for 2-level densities ⋮ LOW‐LYING ZEROS OF L ‐FUNCTIONS FOR MAASS FORMS OVER IMAGINARY QUADRATIC FIELDS ⋮ Low-lying zeros of number field \(L\)-functions ⋮ Weighted Sato-Tate vertical distribution of the Satake parameter of Maass forms on \(\mathrm{PGL}(N)\) ⋮ One-level density for holomorphic cusp forms of arbitrary level

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