Conditional lower bounds on the distribution of central values in families of \(L\)-functions

DOI10.4064/aa230805-3-1MaRDI QIDQ6595600

Maksym Radziwiłł, Kannan Soundararajan

Publication date: 30 August 2024

Published in: Acta Arithmetica (Search for Journal in Brave)

zbMATH Keywords

elliptic curves\(L\)-functionsone-level density

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Other Dirichlet series and zeta functions (11M41)

Related Items (1)

Toroidal families and averages of \(\mathrm{L}\)-functions. I

Cites Work

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• The average analytic rank of elliptic curves
• Moments of the Riemann zeta function
• Moments and distribution of central \(L\)-values of quadratic twists of elliptic curves
• On \(L\)-functions of elliptic curves and cyclotomic towers
• On \(L\)-functions of elliptic curves and anticyclotomic towers
• Analytic ranks of elliptic curves over cyclotomic fields
• Random matrix theory and \(L\)-functions at \(s=1/2\).
• Low lying zeros of families of \(L\)-functions

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