The equation n₁n₂ = n₃n₄, the gcd-sum function and the mean values of certain character sums
Huaning Liu, Wenguang Zhai (2012)
Acta Arithmetica
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Huaning Liu, Wenguang Zhai (2012)
Acta Arithmetica
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Kazuhito Kozuka (2011)
Acta Arithmetica
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David J. Platt, Sumaia Saad Eddin (2013)
Colloquium Mathematicae
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Let χ be a primitive Dirichlet character of conductor q and denote by L(z,χ) the associated L-series. We provide an explicit upper bound for |L(1,χ)| when 3 divides q.
Stéphane Louboutin (2002)
Acta Arithmetica
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Hong-Quan Liu (2007)
Acta Arithmetica
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Jean Bourgain, Todd Cochrane, Jennifer Paulhus, Christopher Pinner (2011)
Acta Arithmetica
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Minking Eie, Wen-Chin Liaw (2007)
Acta Arithmetica
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G. Molteni (2010)
Acta Arithmetica
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G. Molteni (2010)
Acta Arithmetica
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Chang Leran, Li Xiaoxue (2016)
Open Mathematics
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In this paper, we use the mean value theorem of Dirichlet L-functions, the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the two-term exponential sums, and give an interesting identity and asymptotic formula for it.
J. Kaczorowski (1985)
Banach Center Publications
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Wenpeng Zhang, Yuan Yi (2003)
Acta Arithmetica
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Gautami Bhowmik, Jan-Christoph Schlage-Puchta (2010)
Acta Arithmetica
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Todd Cochrane, Jeremy Coffelt, Christopher Pinner (2005)
Acta Arithmetica
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Yonghui Wang, Claus Bauer (2004)
Acta Arithmetica
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Patrick Sargos (2003)
Acta Arithmetica
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Olivier Bordellès (2008)
Acta Arithmetica
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Gautami Bhowmik, Jan-Christoph Schlage-Puchta (2011)
Acta Arithmetica
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Li, Hailong, Zhang, Wenpeng (2003)
International Journal of Mathematics and Mathematical Sciences
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