Central limit theorems for sums of quadratic characters, Hecke eigenforms, and elliptic curves

DOI10.1090/proc/14760zbMath1478.11068OpenAlexW2956841368WikidataQ127496041 ScholiaQ127496041MaRDI QIDQ5212404

Neha Prabhu, M. Ram Murty

Publication date: 29 January 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14760

zbMATH Keywords

elliptic curvesmodular formscentral limit theoremquadratic characters

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Elliptic curves over global fields (11G05) Fourier coefficients of automorphic forms (11F30)

Cites Work

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• Gaussian distributions of Kloosterman sums: vertical and horizontal
• Moments of the error term in the Sato-Tate law for elliptic curves
• La conjecture de Weil. I
• Central limit theorem for Artin L-functions
• Distribution of Hecke eigenvalues
• Fluctuations in the Distribution of Hecke Eigenvalues about the Sato–Tate Measure
• How the Number of Points of An Elliptic Curve Over a Fixed Prime Field Varies

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