Distribution of zeros of Dirichlet L-functions and the least prime in an arithmetic progression
Jianya Liu, Yangbo Ye (2005)
Acta Arithmetica
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Jianya Liu, Yangbo Ye (2005)
Acta Arithmetica
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Triantafyllos Xylouris (2011)
Acta Arithmetica
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Binbin Zhou (2009)
Acta Arithmetica
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D. A. Goldston, C. Y. Yıldırım (2001)
Acta Arithmetica
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Jürgen G. Hinz (1986/87)
Manuscripta mathematica
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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.
E. Grosswald (1980)
Journal für die reine und angewandte Mathematik
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Jan-Christoph Puchta (2003)
Acta Arithmetica
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Yoichi Motohashi (1978)
Inventiones mathematicae
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František Marko, Štefan Porubský (2015)
Colloquium Mathematicae
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We investigate properties of coset topologies on commutative domains with an identity, in particular, the 𝓢-coprime topologies defined by Marko and Porubský (2012) and akin to the topology defined by Furstenberg (1955) in his proof of the infinitude of rational primes. We extend results about the infinitude of prime or maximal ideals related to the Dirichlet theorem on the infinitude of primes from Knopfmacher and Porubský (1997), and correct some results from that paper. Then we determine...
Jörg Brüdern, Koichi Kawada (2011)
Colloquium Mathematicae
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A new method for counting primes in a Beatty sequence is proposed, and it is shown that an asymptotic formula can be obtained for the number of such primes in a short interval.
Shanta Laishram, T. N. Shorey (2005)
Acta Arithmetica
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N. Saradha, R. Tijdeman (2008)
Acta Arithmetica
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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.
Roger C. Baker (2012)
Acta Arithmetica
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Étienne Fouvry, Igor E. Shparlinski (2011)
Acta Arithmetica
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E. Bombieri, J.B. Friedlander, H. Iwaniec (1987)
Mathematische Annalen
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Richard H., Bays, Carter Hudson (1977)
Journal für die reine und angewandte Mathematik
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Yahya Ould Hamidoune, Alain Plagne (2002)
Acta Arithmetica
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Yong-Gao Chen (2005)
Acta Arithmetica
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Akio Fujii (1976)
Journal für die reine und angewandte Mathematik
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