Simultaneous approximations and covering by arithmetic progressions in \(\mathbb{F}_p\)

DOI10.1006/jcta.1999.3034zbMath0974.11008OpenAlexW2032687362MaRDI QIDQ1841220

Vsevolod F. Lev

Publication date: 16 December 2001

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.1999.3034

zbMATH Keywords

finite fieldsimultaneous approximation\(n\)-element subset covered by an arithmetic progressionaffine diameter of an \(n\)-element subset of a finite fieldmaximum diameter of an \(n\)-element subset of a finite field

Mathematics Subject Classification ID

Finite fields and commutative rings (number-theoretic aspects) (11T99) Special aspects of infinite or finite groups (20F99) Diophantine inequalities (11J25) Simultaneous homogeneous approximation, linear forms (11J13) Arithmetic progressions (11B25) Extremal combinatorics (05D99) Approximation by numbers from a fixed field (11J17)

Cites Work

• Products of simultaneous approximations of rational numbers
• Differences of residues (mod p)
• Rectification principles in additive number theory
• Zaremba's Conjecture and Sums of the Divisor Function

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