On the second moment for primes in an arithmetic progression
D. A. Goldston, C. Y. Yıldırım (2001)
Acta Arithmetica
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D. A. Goldston, C. Y. Yıldırım (2001)
Acta Arithmetica
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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.
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.
Yahya Ould Hamidoune, Alain Plagne (2002)
Acta Arithmetica
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N. Saradha, R. Tijdeman (2008)
Acta Arithmetica
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Yoichi Motohashi (1978)
Inventiones mathematicae
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Yong-Gao Chen (2005)
Acta Arithmetica
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Acta Arithmetica
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E. Grosswald (1980)
Journal für die reine und angewandte Mathematik
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Brahmagupta
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Augustus DeMorgan
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Shanta Laishram, T. N. Shorey (2005)
Acta Arithmetica
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Florian Luca, Anirban Mukhopadhyay, Kotyada Srinivas (2010)
Acta Arithmetica
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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).
Tomasz Schoen (2011)
Acta Arithmetica
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Jan-Christoph Puchta (2003)
Acta Arithmetica
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Andrzej Grzegorczyk (1956)
Fundamenta Mathematicae
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