Davenport–Hasse's theorem for polynomial Gauss sums over finite fields
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DOI: 10.1016/j.jnt.2017.04.005
Abstract: Abstract In this paper, we study the polynomial Gauss sums over finite fields, and present an analogue of Davenport–Hasse's theorem for the polynomial Gauss sums, which is a generalization of the previous result obtained by… read more here.
Keywords: sums finite; polynomial gauss; finite fields; gauss sums ... See more keywords
On a rigidity property for quadratic gauss sums
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DOI: 10.1112/mtk.70061
Abstract: Let be a large prime and let . We prove that if is a ‐valued multiplicative function, such that the exponential sums satisfy the ‘Gauss sum‐like’ approximate dilation symmetry property uniformly over all primes ,… read more here.
Keywords: gauss sums; property; property quadratic; rigidity property ... See more keywords
The hybrid power mean of quartic Gauss sums and Kloosterman sums
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DOI: 10.1515/math-2017-0014
Abstract: Abstract 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… read more here.
Keywords: quartic gauss; gauss; hybrid power; power mean ... See more keywords
Generalized quadratic Gauss sums and their 2mth power mean
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DOI: 10.1515/math-2024-0074
Abstract: Abstract The main purpose of this article is to study the problem of calculating the 2mth power mean of the generalized quadratic Gauss sums, and using the analytic method and an interesting combinatorial identity to… read more here.
Keywords: gauss sums; generalized quadratic; power mean; quadratic gauss ... See more keywords