On the parity of k-th powers modulo p. A generalization of a problem of Lehmer
Jean Bourgain, Todd Cochrane, Jennifer Paulhus, Christopher Pinner (2011)
Acta Arithmetica
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Jean Bourgain, Todd Cochrane, Jennifer Paulhus, Christopher Pinner (2011)
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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Hong-Quan Liu (2007)
Acta Arithmetica
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Géza Kós (2001)
Acta Arithmetica
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Patrick Sargos (2003)
Acta Arithmetica
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Todd Cochrane, Christopher Pinner, Jason Rosenhouse (2003)
Acta Arithmetica
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Gautami Bhowmik, Jan-Christoph Schlage-Puchta (2011)
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.
Ding, Ping (2005)
Journal of Mathematical Sciences (New York)
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Olivier Bordellès (2008)
Acta Arithmetica
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Bachman, Gennady (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Wojciech Niemiro (1984)
Colloquium Mathematicae
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John B. Friedlander, Sergei Konyagin, Igor E. Shparlinski (2002)
Acta Arithmetica
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Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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Yong-Gao Chen, Jin-Hui Fang, Norbert Hegyvári (2016)
Acta Arithmetica
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Li Xiaoxue, Hu Jiayuan (2017)
Open Mathematics
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The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact computational formula for it.
Alexandru Zaharescu (2001)
Acta Arithmetica
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Henri Virtanen (2002)
Acta Arithmetica
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