Rationality of partial zeta functions

DOI10.1016/S0019-3577(03)90012-7zbMath1050.11064arXivmath/0304142MaRDI QIDQ1433053

Daqing Wan

Publication date: 15 June 2004

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304142

zbMATH Keywords

finite fieldsfinite directed graphsArtin-Schreier hypersurfacespartial zeta-functions

Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Congruences in many variables (11D79) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Directed graphs (digraphs), tournaments (05C20)

Related Items (2)

Partial zeta functions, partial exponential sums, and \(p\)-adic estimates ⋮ On diagonal equations over finite fields

Cites Work

• La conjecture de Weil. II
• Moment \(L\)-functions, partial \(L\)-functions and partial exponential sums
• Total degree bounds for Artin \(L\)-functions and partial zeta functions.
• Higher rank case of Dwork’s conjecture
• Rank one case of Dwork’s conjecture
• On the Rationality of the Zeta Function of an Algebraic Variety
• Sums of Betti numbers in arbitrary characteristic.
• Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess
• Partial zeta functions of algebraic varieties over finite fields

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