Gaps in the spectrum of Nathanson heights of projective points.
Gauss sum for the adjoint representation of and
Gauss sums and algebraic cycles
Gauss Sums and Elliptic Functions. I. The Kummer Sum.
Gauss Sums and Elliptic Functions: II. The Quartic Sum.
Gauss sums and solutions to simultaneous equations over
Gauss sums and the matrix equation over fields of characteristic two
Gauss sums for Fq[T].
Gauss sums for O⁺(2n,q)
Gauss sums for O⁻(2n,q)
Gauss sums for orthogonal groups over a finite field of characteristic two
Gauss sums for prime powers in p-adic fields
Gauss Sums for Symplectic Groups Over a Finite Field.
Gauss Sums of Cubic Characters over , p Odd
An elementary approach is shown which derives the values of the Gauss sums over , p odd, of a cubic character. New links between Gauss sums over different field extensions are shown in terms of factorizations of the Gauss sums themselves, which are then revisited in terms of prime ideal decompositions. Interestingly, one of these results gives a representation of primes p of the form 6k+1 by a binary quadratic form in integers of a subfield of the cyclotomic field of the pth roots of unity.
Gauss Sums of the Cubic Character over : an Elementary Derivation
By an elementary approach, we derive the value of the Gauss sum of a cubic character over a finite field without using Davenport-Hasse’s theorem (namely, if s is odd the Gauss sum is -1, and if s is even its value is ).
Gaussian Integers
Gaussian integer is one of basic algebraic integers. In this article we formalize some definitions about Gaussian integers [27]. We also formalize ring (called Gaussian integer ring), Z-module and Z-algebra generated by Gaussian integer mentioned above. Moreover, we formalize some definitions about Gaussian rational numbers and Gaussian rational number field. Then we prove that the Gaussian rational number field and a quotient field of the Gaussian integer ring are isomorphic.
Gaussian integers with small prime factors.
Gaussian primes
Gaussian sums over finite fields and gamma functions. (Gaussche Summen über endlichen Körpern und Gammafunktion.)
Gaussiana