On the Average Exponent of Elliptic Curves Modulo p

DOI10.1093/imrn/rns280zbMath1366.11079arXiv1203.4382OpenAlexW2053127981MaRDI QIDQ3448323

Tristan Freiberg, Pär Kurlberg

Publication date: 23 October 2015

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

Full work available at URL: https://arxiv.org/abs/1203.4382

zbMATH Keywords

elliptic curvesgeneralized Riemann hypothesisgood reduction

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (7)

The average exponent of elliptic curves modulo \(p\) ⋮ Average behaviors of invariant factors in Mordell-Weil groups of CM elliptic curves modulo \(p\) ⋮ Primes, elliptic curves and cyclic groups ⋮ Cyclicity and exponents of CM elliptic curves modulo $p$ in short intervals ⋮ Constants in Titchmarsh divisor problems for elliptic curves ⋮ Positivity of constants related to elliptic curves ⋮ On invariants of elliptic curves on average

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