On the Rank and the Convergence Rate Toward the Sato–Tate Measure

DOI10.1093/imrn/rnx234zbMath1457.11081arXiv1703.03182OpenAlexW2750638172MaRDI QIDQ5855153

Xavier Guitart, Francesc Fité

Publication date: 15 March 2021

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

Full work available at URL: https://arxiv.org/abs/1703.03182

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Arithmetic ground fields for abelian varieties (14K15) Relations with random matrices (11M50)

Related Items (1)

ANTS XIII. Proceedings of the thirteenth algorithmic number theory symposium, University of Wisconsin-Madison, WI, USA, July 16--20, 2018

Cites Work

• Unnamed Item
• Unnamed Item
• Explicit formulae and the Lang-Trotter conjecture
• LIMITING DISTRIBUTIONS OF THE CLASSICAL ERROR TERMS OF PRIME NUMBER THEORY
• Elliptic Curves of Unbounded Rank and Chebyshev's Bias
• Character theory approach to Sato–Tate groups
• Sato–Tate distributions and Galois endomorphism modules in genus 2
• Motivic Serre group, algebraic Sato-Tate group and Sato-Tate conjecture
• An application of the effective Sato-Tate conjecture
• Finding meaning in error terms
• Characters and the q -Analog of Weight Multiplicity
• Chebyshev's Bias
• Hyperelliptic curves, L-polynomials, and random matrices
• Computing L-Series of Hyperelliptic Curves
• Algorithmic Number Theory

This page was built for publication: On the Rank and the Convergence Rate Toward the Sato–Tate Measure