On upper bounds of Chalk and Hua for exponential sums

DOI10.1090/S0002-9939-01-06189-5zbMath1012.11077OpenAlexW1724288287MaRDI QIDQ2716091

Zhiyong Zheng, Todd Cochrane

Publication date: 6 June 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06189-5

zbMATH Keywords

upper boundsexponential sums

Mathematics Subject Classification ID

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

Related Items (5)

Subset sum pseudorandom numbers: fast generation and distribution ⋮ Upper bounds on character sums with rational function entries ⋮ From oscillatory integrals and sublevel sets to polynomial congruences and character sums ⋮ Counting subset sums of finite Abelian groups ⋮ Estimates on polynomial exponential sums

Cites Work

• An estimate of the modulus of complete rational trigonometric sums of degrees three and four
• On a conjecture of Chalk
• Über die Anzahl der Lösungen einer Kongruenz
• An improvement to Chalk's estimation of exponential sums
• The Estimation of Complete Exponential Sums
• On Hua's estimates for exponential sums
• On the maximum modulus of complete trigonometric sums
• Estimates for Exponential Sums
• On Hua's Estimate for Exponential Sums
• On the Number of Solutions of Polynomial Congruences and Thue Equations
• On Hau's lemma
• New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
• Pure and mixed exponential sums
• Some remarks on Gauss sums associated with kth powers
• Congruences, Trees, and 𝑝-adic Integers
• On Some Exponential Sums
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