Gauss Sums and Elliptic Functions. I. The Kummer Sum.
C.R. Matthews (1979)
Inventiones mathematicae
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Displaying similar documents to “A note on a product formula for the cubic Gauss sum”
Gauss Sums and Elliptic Functions. I. The Kummer Sum.
Gauss Sums and Elliptic Functions: II. The Quartic Sum.
C.R. Matthews (1979)
Inventiones mathematicae
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The hybrid power mean of quartic Gauss sums and Kloosterman sums
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.
On a product related to the cubic Gauss sum.
Hiroshi Ito (1989)
Journal für die reine und angewandte Mathematik
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On Fleck quotients
Zhi-Wei Sun, Daqing Wan (2007)
Acta Arithmetica
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Integral points on elliptic curves defined by simplest cubic fields.
Duquesne, Sylvain (2001)
Experimental Mathematics
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Half Gauss Sums.
Bruce C. Berndt, Ronald J. Evans (1980)
Mathematische Annalen
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On nonary cubic forms.
Christopher Hooley (1988)
Journal für die reine und angewandte Mathematik
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On Dirichlet series associated with cubic Gauss sums.
S.J. Patterson (1978)
Journal für die reine und angewandte Mathematik
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The triplication formula for Gauss sums.
John Greene, Dennis Stanton (1986)
Aequationes mathematicae
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On the structure equations of the induced linear connections.
Popescu, Marcela, Popescu, Paul (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Class number calculation of a cubic field from the elliptic unit.
Ken Nakamula (1982)
Journal für die reine und angewandte Mathematik
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Sums of three cubes, II
Trevor D. Wooley (2015)
Acta Arithmetica
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Estimates are provided for sth moments of cubic smooth Weyl sums, when 4 ≤ s ≤ 8, by enhancing the author's iterative method that delivers estimates beyond classical convexity. As a consequence, an improved lower bound is presented for the number of integers not exceeding X that are represented as the sum of three cubes of natural numbers.
The equation xyz = x + y + z = 1 in integers of a cubic field.
Andrew Bremner (1989)
Manuscripta mathematica
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A Stickelberger theorem for p-adic Gauss sums
Régis Blache (2005)
Acta Arithmetica
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Gauss sums for Fq[T].
Dinesh S. Thakur (1988)
Inventiones mathematicae
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