Polya-Vinogradov inequality for polynomial character sums over finite fields

DOI10.7153/jmi-2021-15-32zbMath1469.11470OpenAlexW3175797570MaRDI QIDQ5000406

Zhiyong Zheng, Zi Wei Hong

Publication date: 13 July 2021

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2021-15-32

zbMATH Keywords

function fieldsGauss sumscharacter sumsPolya-Vinogradov inequality

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Arithmetic theory of polynomial rings over finite fields (11T55)

Cites Work

• Unnamed Item
• Conjectures for the integral moments and ratios of \(L\)-functions over function fields
• Rudnick and Soundararajan's theorem for function fields
• Estimates for coefficients of \(L\)-functions for function fields
• On the polynomial Ramanujan sums over finite fields
• Davenport-Hasse's theorem for polynomial Gauss sums over finite fields
• The singular series for sums of squares of polynomials
• Statistics of the zeros of zeta functions in families of hyperelliptic curves over a finite field
• Fourier Analysis on Local Fields. (MN-15)
• A polynomial generalized Gauss sum.
• Diophantine Approximation in Fields of Characteristic p

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