Polynomial Equations in Subgroups and Applications

DOI10.1007/978-3-031-05331-3_12OpenAlexW3025929709MaRDI QIDQ5886431

I. V. V'yugin, Igor E. Shparlinski, Sergei V. Konyagin

Publication date: 5 April 2023

Published in: Analysis at Large (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05315

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Congruences in many variables (11D79)

Cites Work

• Unnamed Item
• Elements of large order on varieties over prime finite fields
• Greatest common divisors of \(u-1, v-1\) in positive characteristic and rational points on curves over finite fields
• On divisors of Lucas and Lehmer numbers
• Markoff triples and strong approximation
• Fermat curves over finite fields
• Integers without large prime factors
• Kesten-McKay law for the Markoff surface mod \(p\)
• Solutions of polynomial equations in subgroups of \(\mathbb{F}_p^*\)
• The cycle structure of a Markoff automorphism over finite fields
• An asymptotic formula for integer points on Markoff-Hurwitz varieties
• The distribution of integers with a divisor in a given interval
• On additive shifts of multiplicative subgroups
• New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
• On the Structure of Graphs of Markoff Triples

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