Upper bounds on character sums with rational function entries

DOI10.1007/s10114-002-0230-6zbMath1044.11076OpenAlexW2067408162MaRDI QIDQ1396018

Zhiyong Zheng, Todd Cochrane, Chunlei Liu

Publication date: 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-002-0230-6

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Trigonometric and exponential sums (general theory) (11L03)

Related Items (2)

Joint distribution in residue classes of polynomial-like multiplicative functions ⋮ Distribution in coprime residue classes of polynomially-defined multiplicative functions

Cites Work

• Equations over finite fields. An elementary approach
• On a conjecture of Chalk
• Character sums of rational functions
• On upper bounds of Chalk and Hua for exponential sums
• Exponential sums modulo prime powers
• An improvement to Chalk's estimation of exponential sums
• The Estimation of Complete Exponential Sums
• On Hua's estimates for exponential sums
• Dirichlet character sums
• On Hau's lemma
• Exponential sums with rational function entries
• Pure and mixed exponential sums
• A lower bound estimate for complete sums of characters of polynomials and rational functions
• On Some Exponential Sums
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