A generalization of Freiman's 3k-3 Theorem
Yahya Ould Hamidoune, Alain Plagne (2002)
Acta Arithmetica
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Displaying similar documents to “Arithmetic progressions in sums of subsets of sparse sets”
A generalization of Freiman's 3k-3 Theorem
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Some results on Oppenheim's "Factorisatio Numerorum" function
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Some remarks on bicommutability
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Sums of multiplicative function in special arithmetic progressions
Bin Feng (2019)
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We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic functions on certain APs. It generalizes a result due to Cui and Wu (2014).
On non-intersecting arithmetic progressions
Ernest S. Croot III (2003)
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Arithmetic functions on Beatty sequences
Abercrombie Alex G., Banks William D., Shparlinski Igor E. (2009)
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On the arithmetic mean of Dedekind sums
Kurt Girstmair, Johannes Schoißengeier (2005)
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On non-intersecting arithmetic progressions
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Acta Arithmetica
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We improve known bounds for the maximum number of pairwise disjoint arithmetic progressions using distinct moduli less than x. We close the gap between upper and lower bounds even further under the assumption of a conjecture from combinatorics about Δ-systems (also known as sunflowers).
A set of squares without arithmetic progressions
Katalin Gyarmati, Imre Z. Ruzsa (2012)
Acta Arithmetica
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