SUMS OF POLYNOMIAL-TYPE EXCEPTIONAL UNITS MODULO

DOI10.1017/S0004972721000551zbMath1500.11013arXiv2104.01453OpenAlexW3190748111MaRDI QIDQ5069265

Junyong Zhao, Chaoxi Zhu, Shao-Fang Hong

Publication date: 8 April 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01453

zbMATH Keywords

exponential sumring of residue classespolynomial-type exceptional unitprinciple of cross-classification

Mathematics Subject Classification ID

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

Related Items (2)

On the sumsets of polynomial units in a finite commutative ring ⋮ On the sums of squares of exceptional units in residue class rings

Cites Work

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• Sur un type particulier d'unités algébriques
• Solving discriminant form equations via unit equations
• Non-Galois cubic number fields with exceptional units
• Exceptional units and cyclic resultants
• Exceptional Units and Numbers of Small Mahler Measure

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