Estimates for coefficients of \(L\)-functions for function fields

DOI10.1006/ffta.1998.0234zbMath0948.11044OpenAlexW2090688116MaRDI QIDQ1284213

Chih-Nung Hsu

Publication date: 14 June 1999

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1998.0234

zbMATH Keywords

Riemann hypothesisfundamental unitBurgers estimateWeil \(L\)-series

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Units and factorization (11R27) Exponential sums (11T23) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items

A note on character sums in finite fields ⋮ On the Chowla and twin primes conjectures over \(\mathbb{F}_q[T\)] ⋮ Correlations of multiplicative functions in function fields ⋮ Rudnick and Soundararajan's theorem for function fields ⋮ On sums involving products and quotients of \(L\)-functions over function fields ⋮ A simple proof of the mean value of \(|K_2(\mathcal O)|\) in function fields ⋮ Polya-Vinogradov inequality for polynomial character sums over finite fields

Cites Work

• On Character Sums and Primitive Roots^†
• On Character Sums and L-Series^†
• Explicit Class Field Theory for Rational Function Fields
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