On the growth of a van der Waerden-like function.
Graham, Ron (2006)
Integers
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Displaying similar documents to “On the discrepancy of quasi-progressions.”
On the growth of a van der Waerden-like function.
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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Arithmetic structures in random sets.
Hamel, Mariah, Łaba, Izabella (2008)
Integers
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On a variant of van der Waerden's theorem.
Vijay, Sujith (2010)
Integers
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Discrepancy of cartesian products of arithmetic progressions.
Doerr, Benjamin, Srivastav, Anand, Wehr, Petra (2004)
The Electronic Journal of Combinatorics [electronic only]
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Quasi-amicable numbers are rare.
Pollack, Paul (2011)
Journal of Integer Sequences [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.
Maximal arithmetic progressions in random subsets.
Benjamini, Itai, Yadin, Ariel, Zeitouni, Ofer (2007)
Electronic Communications in Probability [electronic only]
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Discrepancy of sums of three arithmetic progressions.
Přívétivý, Aleš (2006)
The Electronic Journal of Combinatorics [electronic only]
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On partitioning Sidon sets with quasi-independent sets
K. Harrison, L. Ramsey (1996)
Colloquium Mathematicae
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Guessing secrets.
Chung, Fan, Graham, Ronald, Leighton, Tom (2001)
The Electronic Journal of Combinatorics [electronic only]
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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.