An Erdős-Fuchs theorem for ordered representation functions
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Publication:2240495
DOI10.1007/s11139-020-00326-2zbMath1497.11026arXiv1911.12313OpenAlexW3094853912MaRDI QIDQ2240495
Gonzalo Cao-Labora, Juanjo Rué, Christoph Spiegel
Publication date: 4 November 2021
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.12313
Power series (including lacunary series) in one complex variable (30B10) Additive bases, including sumsets (11B13) Representation functions (11B34)
Related Items (2)
Additive representation functions and discrete convolutions ⋮ A quantitative Erdős-Fuchs type result for multivariate linear forms
Cites Work
- Inverse Erdős-Fuchs theorem for \(k\)-fold sumsets
- An improvement of an extension of a theorem of Erdős and Fuchs
- A converse to a theorem of Erdös and Fuchs
- Omega theorems for the iterated additive convolution of a nonnegative arithmetic function
- Representation functions on finite sets with extreme symmetric differences
- On polynomial representation functions for multivariate linear forms
- A quantitative Erdös–Fuchs theorem and its generalization
- On a Problem of Additive Number Theory†
- On a question of Sárkozy and Sós for bilinear forms
- On a theorem of Erdös and Fuchs
- On the Erdős–Fuchs theorem
- An Application of Generating Series
- Note on a Problem in Additive Number Theory
- On a generalization of a theorem of Erdős and Fuchs
- On a problem of Sárközy and Sós for multivariate linear forms
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