Solutions of polynomial equations in subgroups of \(\mathbb{F}_p^*\)

DOI10.1007/s40598-019-00112-zzbMath1453.11161OpenAlexW2951866338MaRDI QIDQ2302255

Sergei Makarychev, I. V. V'yugin

Publication date: 26 February 2020

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40598-019-00112-z

zbMATH Keywords

subgrouppolynomialalgebraic equationfield of positive characteristic

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Exponential sums (11T23) Varieties over finite and local fields (11G25) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (2)

Polynomial Equations in Subgroups and Applications ⋮ On a polynomial version of the sum-product problem for subgroups

Cites Work

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• Greatest common divisors of \(u-1, v-1\) in positive characteristic and rational points on curves over finite fields
• Markoff triples and strong approximation
• Higher moments of convolutions
• On additive shifts of multiplicative subgroups
• New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
• Basic Algebraic Geometry 2

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