A Pólya–Vinogradov inequality for short character sums

DOI10.4153/S0008439520000934zbMath1487.11078arXiv2002.02640OpenAlexW3106646148MaRDI QIDQ5019197

Matteo Bordignon

Publication date: 3 January 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02640

zbMATH Keywords

character sumsPólya-Vinogradov inequality

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Estimates on character sums (11L40)

Cites Work

• A generalization of the Pólya-Vinogradov inequality
• Large values of character sums
• Problems and theorems in analysis II. Theory of functions, zeros, polynomials, determinants, number theory, geometry. Transl. from the German by C. E. Billigheimer.
• The frequency and the structure of large character sums
• On the constant in the Pólya-Vinogradov inequality
• Remarks on the Pólya–Vinogradov Inequality
• Large character sums: Pretentious characters and the Pólya-Vinogradov theorem
• On the Constant in the Pólya-Vinogradov Inequality
• An explicit Pólya-Vinogradov inequality via Partial Gaussian sums