On the sums of squares of exceptional units in residue class rings

DOI10.1007/s10998-022-00472-8OpenAlexW3202850336MaRDI QIDQ2694920

Yulu Feng, Shao-Fang Hong

Publication date: 4 April 2023

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.12782

zbMATH Keywords

exponential sumHensel's lemmaring of residue classesquadratic Gauss sumexceptional unitquadratic diagonal congruence

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Additive bases, including sumsets (11B13) Trigonometric and exponential sums (general theory) (11L03)

Cites Work

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• Sur un type particulier d'unités algébriques
• Solving discriminant form equations via unit equations
• On the Iteration of a Function Related to Euler's φ-Function
• Exceptional units in a family of quartic number fields
• Exceptional units and cyclic resultants
• Exceptional Units and Numbers of Small Mahler Measure
• SUMS OF POLYNOMIAL-TYPE EXCEPTIONAL UNITS MODULO

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