Sets of integers that do not contain long arithmetic progressions.
O'Bryant, Kevin (2011)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Arithmetic structures in random sets.”
Sets of integers that do not contain long arithmetic progressions.
Maximal arithmetic progressions in random subsets.
Benjamini, Itai, Yadin, Ariel, Zeitouni, Ofer (2007)
Electronic Communications in Probability [electronic only]
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On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions
Manfred Kühleitner, Werner Nowak (2013)
Open Mathematics
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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.
On the growth of a van der Waerden-like function.
Graham, Ron (2006)
Integers
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Absolutely continuous distribution functions of additive functions
G. Jogesh Babu (1975)
Acta Arithmetica
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Limitations to the equi-distribution of primes III
John Friedlander, Andrew Granville (1992)
Compositio Mathematica
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On certain arithmetic functions involving the greatest common divisor
Ekkehard Krätzel, Werner Nowak, László Tóth (2012)
Open Mathematics
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The paper deals with asymptotics for a class of arithmetic functions which describe the value distribution of the greatest-common-divisor function. Typically, they are generated by a Dirichlet series whose analytic behavior is determined by the factor ζ2(s)ζ(2s − 1). Furthermore, multivariate generalizations are considered.
The distribution of sequences in arithmetic progressions
Heini Halberstam (1971-1972)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
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