Results 221 to 230 of about 7,456 (263)

On Pure Gauss sums

open access: yesOn Pure Gauss sums
openaire  

On the gauss trigonometric sum

Mathematical Notes, 2000
The author studies Gaussian sums of the form \(S(p,a,k)=\sum_{x=0}^{p-1}e^{2\pi iax^k/p}\), where \(a,k\) are positive integers, \(k\geq3, m=[(k-1)/2], a\not\equiv0\pmod p,\;p\equiv1\pmod k\). For \(p\equiv7\pmod{12}\) he proves a lower estimate of the form \(|S(p,a,6)|>(\sqrt3/2)\sqrt7\).
openaire   +4 more sources

Quadratic Gauss Sums

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.
openaire   +1 more source

On Cubic Exponential Sums and Gauss Sums

Journal of Mathematical Sciences, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Incomplete Gauss sums

Mathematika, 1976
Let N be a positive integer. We are concerned with the sumThus GN(N) is the ordinary Gauss sum. Previous methods of estimating such exponential sums have not brought to light the peculiar behaviour of GN(m) for m < N/2, namely that, for almost all values of m, GN(m) is in the vicinity of the point .
openaire   +1 more source

Home - About - Disclaimer - Privacy