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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Hong-Quan Liu (2007)
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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Jean-Marie De Koninck, Imre Kátai (2011)
Acta Arithmetica
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Ding, Ping (2005)
Journal of Mathematical Sciences (New York)
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Patrick Sargos (2003)
Acta Arithmetica
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Gautami Bhowmik, Jan-Christoph Schlage-Puchta (2011)
Acta Arithmetica
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Todd Cochrane, Christopher Pinner, Jason Rosenhouse (2003)
Acta Arithmetica
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Wojciech Niemiro (1984)
Colloquium Mathematicae
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Bachman, Gennady (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Olivier Bordellès (2008)
Acta Arithmetica
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Wenpeng Zhang, Yuan Yi (2003)
Acta Arithmetica
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Géza Kós (2001)
Acta Arithmetica
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Yong-Gao Chen, Jin-Hui Fang, Norbert Hegyvári (2016)
Acta Arithmetica
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Xiaoying Wang, Xiaoxue Li (2017)
Open Mathematics
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In this paper, we use the estimate for trigonometric sums and the properties of the congruence equations to study the computational problem of one kind sixth power mean of the three-term exponential sums. As a conclusion, we give an exact computational formula for it.
Alexandru Zaharescu (2001)
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.
John B. Friedlander, Sergei Konyagin, Igor E. Shparlinski (2002)
Acta Arithmetica
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