Diophantine problems in variables restricted to the values 0 and 1

DOI10.1016/0022-314X(80)90039-6zbMath0444.10013MaRDI QIDQ1144594

Roger C. Baker

Publication date: 1980

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

character sumuniform distributionRamsey's theoremgroup ringfinite additive groupforms of arbitrary degreesubsequences with zero sum

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Diophantine equations in many variables (11D72) Additive number theory; partitions (11P99) Jacobsthal and Brewer sums; other complete character sums (11L10)

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Warning's second theorem with relaxed outputs ⋮ Zero-sum subsequences in Abelian non-cyclic groups ⋮ Zero-sum problems in finite Abelian groups: a survey ⋮ Regular subgraphs of almost regular graphs ⋮ Zero-sum problems -- a survey ⋮ On graph decompositions modulo \(k\) ⋮ On the number of group-weighted matchings ⋮ Zero-sum problems and coverings by proper cosets ⋮ Higher Degree Davenport Constants over Finite Commutative Rings ⋮ The Mathematical Work of Wolfgang Schmidt ⋮ Unnamed Item ⋮ FACTORS OF CARMICHAEL NUMBERS AND AN EVEN WEAKER -TUPLES CONJECTURE ⋮ ON DAVENPORT'S CONSTANT ⋮ Set systems with no union of cardinality 0 modulo \(m\) ⋮ Additive bases of vector spaces over prime fields ⋮ Fourier analysis and large independent sets in powers of complete graphs ⋮ Davenport constant for finite abelian groups ⋮ Unnamed Item ⋮ Group weighted matchings in bipartite graphs ⋮ An uncertainty inequality and zero subsums ⋮ Small fractional parts of quadratic and additive forms ⋮ Polynomial relations among the \(n\)th roots of one ⋮ CARMICHAEL NUMBERS IN ARITHMETIC PROGRESSIONS

Cites Work

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• Diophantine inequalities for forms of odd degree
• A combinatorial problem on finite Abelian groups. II
• A combinatorial problem on finite Abelian groups. I
• Additive group theory—A progress report
• On the addition of residue classes mod p

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