Brauer-Siegel theorem for families of elliptic surfaces over finite fields

DOI10.1134/S000143460907013XzbMath1184.14066MaRDI QIDQ736213

A. I. Zykin

Publication date: 27 October 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

finite fieldelliptic surfaceBrauer--Siegel theorem

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Zeta and (L)-functions: analytic theory (11M99)

Related Items (2)

Asymptotic properties of zeta-functions over finite fields ⋮ Analogues of Brauer-Siegel theorem in arithmetic geometry

Cites Work

• The average rank of elliptic curves. I. (With an appendix by Oisín McGuinness: The explicit formula for elliptic curves over function fields)
• On the Zeta-Functions of Algebraic Number Fields
• Low lying zeros of families of \(L\)-functions

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