Weighted Distribution of Low-lying Zeros of GL(2) -functions (Q4625182)

scientific article; zbMATH DE number 7027347

Language	Label	Description	Also known as
English	Weighted Distribution of Low-lying Zeros of GL(2) -functions	scientific article; zbMATH DE number 7027347

Statements

instance of

scholarly article

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title

Weighted Distribution of Low-lying Zeros of GL(2) -functions (English)

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Canadian Journal of Mathematics

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publication date

21 February 2019

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full work available at URL

https://arxiv.org/abs/1806.05869

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zbMATH Keywords

low-lying zero

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$L$-function

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MaRDI profile type

MaRDI publication profile

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cites work

One-level density for holomorphic cusp forms of arbitrary level

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A family of Calabi-Yau varieties and potential automorphy. II.

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Fourier coefficients of cusp forms

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Eigenvalues of Hecke operators on Hilbert modular groups

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The distribution of the eigenvalues of Hecke operators

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Averages of central $L$-values of Hilbert modular forms with an application to subconvexity

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Test vectors and central $L$-values for $\mathrm{GL}(2)$

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Summation methods and distribution of eigenvalues of Hecke operators

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Q3084090

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On the positivity of the central critical values of automorphic $L$-functions for $GL(2)$

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Low lying zeros of families of $L$-functions

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AVERAGES OF TWISTED -FUNCTIONS

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Q3414128

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Petersson's trace formula and the Hecke eigenvalues of Hilbert modular forms

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Weighted averages of modular 𝐿-values

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Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms

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Q4981591

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Q4226082

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Zeroes of zeta functions and symmetry

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Local spectral equidistribution for Siegel modular forms and applications

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Kuznietsov trace formula and weighted distribution of Hecke eigenvalues.

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On the distribution of Satake parameters of $\text{GL}_2$ holomorphic cuspidal representations

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Consequences of the Gross–Zagier formulae: Stability of average L-values, subconvexity, and non-vanishing mod p

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An orthogonal test of the <i>L</i> -functions Ratios conjecture

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Effective equidistribution of eigenvalues of Hecke operators

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Sato-Tate equidistribution for families of Hecke-Maass forms on $\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)$

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Distribution of Hecke eigenvalues

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Q5668937

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Average values of modular $L$-series via the relative trace formula

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Erratum: Average values of modular $L$-series via the relative trace formula

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Q3764212

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Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝

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Sato-Tate theorem for families and low-lying zeros of automorphic $L$-functions. Appendix A by Robert Kottwitz, and Appendix B by Raf Cluckers, Julia Gordon and Immanuel Halupczok.

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Asymptotic behaviors of means of central values of automorphic $L$-functions for $\mathrm{GL}(2)$

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Relative trace formulas and subconvexity estimates for $L$-functions of Hilbert modular forms

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Spectral means of central values of automorphic 𝐿-functions for 𝐺𝐿(2)

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THE QUANTITATIVE DISTRIBUTION OF HECKE EIGENVALUES

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Weighted Sato-Tate vertical distribution of the Satake parameter of Maass forms on $\mathrm{PGL}(N)$

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Identifiers

zbMATH Open document ID

1468.11112

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DOI

10.4153/CJM-2018-013-8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4625182