Sets of integers that do not contain long arithmetic progressions.
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O'Bryant, Kevin (2011)
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The paper deals with lower bounds for the remainder term in asymptotics for a certain class of arithmetic functions. Typically, these are generated by a Dirichlet series of the form ζ 2(s)ζ(2s−1)ζ M(2s)H(s), where M is an arbitrary integer and H(s) has an Euler product which converges absolutely for R s > σ0, with some fixed σ0 < 1/2.
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Jan Turk (1977-1978)
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Ardal, Hayri (2010)
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Loveless, Andrew D. (2006)
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De Koninck, Jean-Marie, Doyon, Nicolas (2003)
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Benjamini, Itai, Yadin, Ariel, Zeitouni, Ofer (2007)
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John Friedlander, Andrew Granville (1992)
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