The derivative of SO(2N +1) characteristic polynomials and rank 3 elliptic curves

DOI10.1017/CBO9780511735158.005zbMath1213.11124OpenAlexW1531968754MaRDI QIDQ3592522

Nina Claire Snaith

Publication date: 13 September 2007

Published in: Ranks of Elliptic Curves and Random Matrix Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/cbo9780511735158.005

zbMATH Keywords

value distribution of first derivative of characteristic polynomials of matricesvalues of \(L\)-functions of families of elliptic curvesvalues of random matrix characteristic polynomials

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Other Dirichlet series and zeta functions (11M41) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Relations with random matrices (11M50)

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Conditional Haar measures on classical compact groups ⋮ On elliptic curves and random matrix theory

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