The analogue of Erdős-Turán conjecture in \(\mathbb Z_m\)

DOI10.1016/J.JNT.2008.03.005zbMath1191.11006OpenAlexW2033420558WikidataQ123074766 ScholiaQ123074766MaRDI QIDQ954876

Yong-Gao Chen

Publication date: 18 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.03.005

zbMATH Keywords

representation functionadditive basesErdős-Turán conjectureRuzsa's number

Mathematics Subject Classification ID

Additive bases, including sumsets (11B13) Representation functions (11B34)

Related Items (10)

The Erdős–Turán Conjecture in the positive rational numbers ⋮ ON ADDITIVE REPRESENTATION FUNCTIONS ⋮ Unique representation bi-basis for rational numbers field ⋮ On the sum of distinct primes or squares of primes ⋮ On the Erdős-Turán conjecture ⋮ On some properties of representation functions related to the Erdős-Turán conjecture ⋮ A NOTE ON A RESULT OF RUZSA, II ⋮ The difference basis and bi-basis of \(\mathbb Z_m\) ⋮ On the general Erdős-Turán conjecture ⋮ A GENERALIZATION OF CHEN'S THEOREM ON THE ERDŐS–TURÁN CONJECTURE

Cites Work

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• A just basis
• Representation functions of additive bases for abelian semigroups
• On the multiplicative representation of integers
• A basis of Z_m
• A basis of Z_m, II
• On multiplicative bases in abelian groups
• Unique representation bases for the integers
• Inequalities concerning the function π(x): Applications
• On a Problem of Sidon in Additive Number Theory, and on some Related Problems

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