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Equidistribution of Gauss sums and Kloosterman sums
Mathematische Zeitschrift, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fu, Lei, Liu, Chunlei
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Sums Of Squares And Gauss Sums
1995Abstract The concepts introduced so far form the basis for the major topics to be discussed in this chapter, they are Gauss sums and, to begin with, the representation of integers as sums of squares. Consider the proposition: if p is a prime and p = 1 (mod 4), then the Diophantine equation has an integer solution. This result.
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2021
We introduce Pell forms and show they lead us in a natural way to quadratic Gauss sums. We point out connections to the analytic class number formula and the modularity of elliptic curves.
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We introduce Pell forms and show they lead us in a natural way to quadratic Gauss sums. We point out connections to the analytic class number formula and the modularity of elliptic curves.
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An algebraic interpretation of the gauss sums
International Journal of Computer Mathematics, 2001Let be a finite arithmetic sequence in C with elements the values of a Dirichlet character Ξ mod n. If Xis the circulant n × n matrix with elements Ξ(i) then the eigenvalues of X are the Gauss sums that correspond to Ξ. Moreover, if Ξ=Ξ1 is the principal Dirichlet character mod n, then the eigenvalues of X are the Ramanujan sums C n(K).
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1980
The Stickelberger theorem giving the factorization of Gauss sums, the Gross-Koblitz formula, and the Davenport-Hasse distribution relations will be combined to interpret Gauss sums as universal odd distributions (Yamamoto’s theorem).
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The Stickelberger theorem giving the factorization of Gauss sums, the Gross-Koblitz formula, and the Davenport-Hasse distribution relations will be combined to interpret Gauss sums as universal odd distributions (Yamamoto’s theorem).
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ON A SUM ANALOGOUS TO A GAUSS'S SUM
The Quarterly Journal of Mathematics, 1932openaire +1 more source
On the mean value of the mixed exponential sums with Dirichlet characters and general gauss sum
Czechoslovak Mathematical Journal, 2013Huaning Liu
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Gauss Sum Factorization with Cold Atoms
Physical Review Letters, 2008M Gilowski, T Wendrich, E M Rasel
exaly