Displaying similar documents to “Gauss sums for Fq[T].”

The hybrid power mean of quartic Gauss sums and Kloosterman sums

Li Xiaoxue, Hu Jiayuan (2017)

Open Mathematics

Similarity:

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.

Waring's problem for fields

William Ellison (2013)

Acta Arithmetica

Similarity:

If K is a field, denote by P(K,k) the a ∈ K which are sums of kth powers of elements of K, by P⁺(K,k) the set of a ∈ K which are sums of kth powers of totally positive elements of K. We give some simple conditions for which there exist integers w(K,k) and g(K,k) such that: a ∈ P(K,k) implies that a is the sum of at most w(K,k) kth powers; a ∈ P⁺(K,k) implies that a is the sum of at most g(K,k) totally positive kth powers. We apply the results to characterise functions that are sums of...