The divisor problem for arithmetic progressions
J. Friedlander, Henryk Iwaniec (1985)
Acta Arithmetica
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J. Friedlander, Henryk Iwaniec (1985)
Acta Arithmetica
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Hamel, Mariah, Łaba, Izabella (2008)
Integers
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Etienne Fouvry, Henryk Iwaniec (1983)
Acta Arithmetica
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Binbin Zhou (2009)
Acta Arithmetica
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Shanta Laishram, T. N. Shorey (2005)
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).
D. A. Goldston, C. Y. Yıldırım (2001)
Acta Arithmetica
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Andrzej Rotkiewicz (2000)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Gutti Jogesh Babu (1981)
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.