L-functions of symmetric powers of cubic exponential sums

DOI10.1515/CRELLE.2009.040zbMath1244.11073arXivmath/0608521MaRDI QIDQ3638125

C. Douglas Haessig

Publication date: 2 July 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0608521

zbMATH Keywords

Airy familyassociated symmetric power \(L\)-functionsone-parameter family of cubic exponential sums

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Trigonometric and exponential sums (general theory) (11L03)

Related Items (3)

\(L\)-functions associated with families of toric exponential sums ⋮ Hodge properties of Airy moments ⋮ Kloosterman sums and Hecke polynomials in characteristics 2 and 3

Cites Work

• A Picard theorem for holomorphic curves in the plane
• Dimension variation of classical and \(p\)-adic modular forms
• Newton polygons of \(L\)-functions of polynomials of the form \(X^{d}+\lambda X\).
• On the zeta function of a hypersurface. III
• Newton stratification for polynomials: the open stratum
• On the p-adic Theory of Exponential Sums
• p -adic variation of L functions of one variable exponential sums, I
• On the Rationality of the Zeta Function of an Algebraic Variety

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