On the second moment for primes in an arithmetic progression
D. A. Goldston, C. Y. Yıldırım (2001)
Acta Arithmetica
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Displaying similar documents to “The Chen primes contain arbitrarily long arithmetic progressions”
On the second moment for primes in an arithmetic progression
A note on small gaps between primes in arithmetic progressions
Deniz A. Kaptan (2016)
Acta Arithmetica
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We implement the Maynard-Tao method of detecting primes in tuples to investigate small gaps between primes in arithmetic progressions, with bounds that are uniform over a range of moduli.
Matrices induced by arithmetic functions acting on certain Krein spaces
Ilwoo Cho (2017)
Special Matrices
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In this paper, we study matrices induced by arithmetic functions under certain Krein-space representations induced by (multi-)primes less than or equal to fixed positive real numbers.
A generalization of Freiman's 3k-3 Theorem
Yahya Ould Hamidoune, Alain Plagne (2002)
Acta Arithmetica
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Arithmetic progressions with common difference divisible by small primes
N. Saradha, R. Tijdeman (2008)
Acta Arithmetica
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Primes in Arithmetic Progressions.
Yoichi Motohashi (1978)
Inventiones mathematicae
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On disjoint arithmetic progressions
Yong-Gao Chen (2005)
Acta Arithmetica
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On the structure of sets with many k-term arithmetic progressions
(2009)
Acta Arithmetica
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Arithmetic progressions of arbitrary length and consisting only of primes and almost primes.
E. Grosswald (1980)
Journal für die reine und angewandte Mathematik
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Algebra with Arithmetic and Mensuration
Brahmagupta
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The Elements of Arithmetic
Augustus DeMorgan
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The greatest prime divisor of a product of consecutive integers
Shanta Laishram, T. N. Shorey (2005)
Acta Arithmetica
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Some results on Oppenheim's "Factorisatio Numerorum" function
Florian Luca, Anirban Mukhopadhyay, Kotyada Srinivas (2010)
Acta Arithmetica
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Sums of multiplicative function in special arithmetic progressions
Bin Feng (2019)
Czechoslovak Mathematical Journal
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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).
Arithmetic progressions in sums of subsets of sparse sets
Tomasz Schoen (2011)
Acta Arithmetica
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Primes in short arithmetic progressions
Jan-Christoph Puchta (2003)
Acta Arithmetica
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Some proofs of undecidability of arithmetic
Andrzej Grzegorczyk (1956)
Fundamenta Mathematicae
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