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A generalized cubic moment and the Petersson formula for newforms - MaRDI portal

A generalized cubic moment and the Petersson formula for newforms (Q1741821)

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Language	Label	Description	Also known as
English	A generalized cubic moment and the Petersson formula for newforms	scientific article

Statements

scholarly article

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A generalized cubic moment and the Petersson formula for newforms (English)

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Matthew P. Young

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Mathematische Annalen

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publication date

7 May 2019

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full work available at URL

https://arxiv.org/abs/1608.06854

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zbMATH Keywords

Petersson formula

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newforms

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Comparison of Arakelov and Poincaré metrics on \(X_0(N)\)

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Hecke operators on \(\Gamma_0(m)\)

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Twists of newforms and pseudo-eigenvalues of \(W\)-operators

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One-level density for holomorphic cusp forms of arbitrary level

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Central value of automorphic \(L\)-functions

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Uniform bounds for Fourier coefficients of theta-series with arithmetic applications

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Hybrid bounds for twisted L-functions

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A Burgess-like subconvex bound for twisted L-functions

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Distribution of Maass of holomorphic cusp forms

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Kloosterman sums in residue classes

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The first sign change of Fourier coefficients of cusp forms

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Integral moments of L-functions

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The cubic moment of central values of automorphic \(L\)-functions

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Modular functions of one variable. II. Proceedings international summer school, University of Antwerp, RUCA. July 17-August 3, 1972

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Hyperbolic distribution problems and half-integral weight Maass forms

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On ternary quadratic forms

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Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids

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The asymptotic distribution of traces of Maass-Poincaré series

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A large sieve density estimate near \(\sigma = 1\)

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Coefficients of Maass forms and the Siegel zero. Appendix: An effective zero-free region, by Dorian Goldfeld, Jeffrey Hoffstein and Daniel Lieman

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Small eigenvalues of Laplacian for $Γ_{0}(N)$

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Low lying zeros of families of \(L\)-functions

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REPRESENTATIONS OF INTEGERS BY TERNARY QUADRATIC FORMS

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Oscillatory integrals with uniformity in parameters

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The fifth moment of modular \(L\)-functions

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Fourier coefficients and modular forms of half-integral weight

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Mollification of the fourth moment of automorphic \(L\)-functions and arithmetic applications.

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Newforms and functional equations

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Subconvexity and equidistribution of Heegner points in the level aspect

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Rankin-Selberg \(L\)-functions and the reduction of CM elliptic curves

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Fourier coefficients of harmonic weak Maass forms and the partition function

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Analytic isolation of newforms of given level

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On the change of root numbers under twisting and applications

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A twisted Motohashi formula and Weyl-subconvexity for \(L\)-functions of weight two cusp forms

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Formules de trace et non-annulation de fonctions L automorphes au niveau p<sup>ν</sup>

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Sur les coefficients de Fourier des formes modulaires de poids demi-entier

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Weyl-type hybrid subconvexity bounds for twisted \(L\)-functions and Heegner points on shrinking sets

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Explicit calculations with Eisenstein series

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Identifiers

zbMATH Open document ID

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10.1007/s00208-018-1745-1

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1741821

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