Arithmetic-progression-weighted subsequence sums

DOI10.1007/s11856-012-0119-8zbMath1316.11010arXiv1102.5351OpenAlexW2027107014MaRDI QIDQ1955872

David J. Grynkiewicz, Vadim Ponomarenko, Andreas Philipp

Publication date: 19 June 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.5351

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13) Inverse problems of additive number theory, including sumsets (11P70) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (8)

Unweighted linear congruences with distinct coordinates and the Varshamov-Tenengolts codes ⋮ On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms ⋮ On monoids of plus-minus weighted zero-sum sequences: the isomorphism problem and the characterization problem ⋮ Arithmetical interpretation of weighted Davenport constants. ⋮ Distinct coordinate solutions of linear equations over finite fields ⋮ A distributed computing perspective of unconditionally secure information transmission in Russian cards problems ⋮ A generalization of Schönemann's theorem via a graph theoretic method ⋮ Extensions of Schönemann's theorem in Galois rings

Cites Work

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• On the Olson and the strong Davenport constants
• Olson's constant for the group \(\mathbb Z_p\oplus\mathbb Z_p\)
• Distinct solution to a linear congruence
• Contributions to zero-sum problems
• The critical number of finite abelian groups
• A weighted Erdős-Ginzburg-Ziv theorem
• Zero-sum problems in finite Abelian groups: a survey
• A generalization of a classical zero-sum problem
• Representation of group elements as subsequence sums.
• Some zero-sum constants with weights
• Davenport constant with weights
• Representation of finite abelian group elements by subsequence sums
• The Erdős-Ginzberg-Ziv theorem with units
• A new extension of the Erdős-Heilbronn conjecture
• On weighted sums in abelian groups
• Quasi-periodic decompositions and the Kemperman structure theorem
• Weighted sums in finite cyclic groups
• The Erdős-Heilbronn problem in Abelian groups.
• The polynomial method and restricted sums of congruence classes
• Weighted Davenport's constant and the weighted EGZ theorem
• On Kemnitz' conjecture concerning lattice-points in the plane
• A variant of Davenport's constant
• Davenport constant with weights and some related questions. II.
• Restricted sumsets and a conjecture of Lev
• On a partition analog of the Cauchy-Davenport Theorem
• The structure of maximal zero-sum free sequences
• Inverse zero-sum problems II
• A Weighted Generalization of Gao's n + D − 1 Theorem
• On Bialostocki's conjecture for zero-sum sequences
• Cyclic Spaces for Grassmann Derivatives and Additive Theory
• On some developments of the Erdős–Ginzburg–Ziv Theorem II
• Restricted Set Addition in Groups I: The Classical Setting
• On Weighted Sequence Sums
• Inverse zero-sum problems III
• An improvement on Olson's constant for Z_p⨁Z_p
• A quadratic lower bound for subset sums
• Subset sums modulo a prime
• Weighted Sequences in Finite Cyclic Groups

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