The difference basis and bi-basis of \(\mathbb Z_m\)

DOI10.1016/j.jnt.2009.08.014zbMath1217.11012OpenAlexW1964668403MaRDI QIDQ2268807

Tang Sun, Yong-Gao Chen

Publication date: 9 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.08.014

zbMATH Keywords

representation functionadditive basisSinger's theoremcyclic difference setErdős-Turán conjecturebi-basisdifference basis

Mathematics Subject Classification ID

Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Additive bases, including sumsets (11B13) Representation functions (11B34)

Related Items (4)

ON ADDITIVE REPRESENTATION FUNCTIONS ⋮ Unique representation bi-basis for rational numbers field ⋮ On some properties of representation functions related to the Erdős-Turán conjecture ⋮ UNIQUE REPRESENTATION BI-BASIS FOR THE INTEGERS

Cites Work

• A just basis
• The analogue of Erdős-Turán conjecture in \(\mathbb Z_m\)
• A basis of Z_m, II
• Inequalities concerning the function π(x): Applications

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