Elliptic Curves of Unbounded Rank and Chebyshev's Bias

DOI10.1093/imrn/rnt103zbMath1323.11034arXiv1304.8011OpenAlexW2963493224MaRDI QIDQ2927903

Daniel Fiorilli

Publication date: 5 November 2014

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

Full work available at URL: https://arxiv.org/abs/1304.8011

zbMATH Keywords

elliptic curvesBirch and Swinnerton-Dyer conjecturerank over the rational field

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Global ground fields in algebraic geometry (14G25)

Related Items (6)

A conditional determination of the average rank of elliptic curves ⋮ Sums of two squares are strongly biased towards quadratic residues ⋮ Almost periodic functions and hyperbolic counting ⋮ Chebyshev’s bias for analyticL-functions ⋮ On the Rank and the Convergence Rate Toward the Sato–Tate Measure ⋮ Chebyshev's bias against splitting and principal primes in global fields

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