An old conjecture of Erdos–Turán on additive bases

DOI10.1090/S0025-5718-05-01777-1zbMath1093.11018WikidataQ123138025 ScholiaQ123138025MaRDI QIDQ5713241

Frank Pok Man Chu, Stephen Kwok-Kwong Choi, Peter B. Borwein

Publication date: 12 December 2005

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

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13) Representation functions (11B34)

Related Items (11)

The Erdős–Turán Conjecture in the positive rational numbers ⋮ ON ADDITIVE REPRESENTATION FUNCTIONS ⋮ A NOTE ON A RESULT OF RUZSA ⋮ On the Erdős-Turán conjecture ⋮ A compendium of results in additive number theory ⋮ On some properties of representation functions related to the Erdős-Turán conjecture ⋮ On the Erdős-Turán conjecture ⋮ On the general Erdős-Turán conjecture ⋮ On a generalization of a theorem of Sárközy and Sós ⋮ On the maximum values of the additive representation functions ⋮ A GENERALIZATION OF CHEN'S THEOREM ON THE ERDŐS–TURÁN CONJECTURE

Cites Work

• Old and new problems and results in combinatorial number theory: van der Waerden's theorem and related topics
• On the Erdős-Turán conjecture.
• Questions Related to the Erdös-Turan Conjecture
• Unique representation bases for the integers
• Range of bounded additive representation functions

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