AbstractWe give estimates of two exponential sums over finite fields for which Weil's estimates fail. Using our estimates and Cohen's sieve method, we prove the conjecture of Hansen and Mullen for the second coefficient in characteristic two when the degree ≥7
This work is concerned with the theory of exponential sums and their application to various Diophant...
In this paper, we provide a new bound for exponential sums in one variable. This new bound gives non...
Abstract In this paper monomial exponential sums over finite fields in certain index 2 cases are con...
AbstractIn this paper, bounds for exponential sums associated to polynomial ƒ defined over finite fi...
AbstractWhile most proofs of the Weil bound on one-variable Kloosterman sums over finite fields are ...
Let F = GF(q) denote the finite field with q =2nelements. For f(X)∈f[X] we let (formula presented) A...
We present an upper bound for Weil-type exponential sums over Galois rings of characteristic p(2) wh...
Let $\mathbb{F}_{q}$ be a finite field with characteristic $p$. A fundamental problem in number theo...
We introduce a new comparison principle for exponential sums over finite fields in order to study "s...
We prove the remaining part of the conjecture by Denef and Sperber [Denef, J. and Sperber, S., Expon...
AbstractIn this note we consider some quantitative versions of conjectures made by Arnold related to...
Motivated by Emmanuel Kowalski’s exponential sums over definable sets in finite fields, we generaliz...
This thesis establishes new quantitative results in several problems relating to the sum-product phe...
We derive a new bound for some bilinear sums over points of an elliptic curve over a finite field. W...
Abstract. In this paper, we improve results of Gillot, Kumar and Moreno to estimate some exponential...
This work is concerned with the theory of exponential sums and their application to various Diophant...
In this paper, we provide a new bound for exponential sums in one variable. This new bound gives non...
Abstract In this paper monomial exponential sums over finite fields in certain index 2 cases are con...
AbstractIn this paper, bounds for exponential sums associated to polynomial ƒ defined over finite fi...
AbstractWhile most proofs of the Weil bound on one-variable Kloosterman sums over finite fields are ...
Let F = GF(q) denote the finite field with q =2nelements. For f(X)∈f[X] we let (formula presented) A...
We present an upper bound for Weil-type exponential sums over Galois rings of characteristic p(2) wh...
Let $\mathbb{F}_{q}$ be a finite field with characteristic $p$. A fundamental problem in number theo...
We introduce a new comparison principle for exponential sums over finite fields in order to study "s...
We prove the remaining part of the conjecture by Denef and Sperber [Denef, J. and Sperber, S., Expon...
AbstractIn this note we consider some quantitative versions of conjectures made by Arnold related to...
Motivated by Emmanuel Kowalski’s exponential sums over definable sets in finite fields, we generaliz...
This thesis establishes new quantitative results in several problems relating to the sum-product phe...
We derive a new bound for some bilinear sums over points of an elliptic curve over a finite field. W...
Abstract. In this paper, we improve results of Gillot, Kumar and Moreno to estimate some exponential...
This work is concerned with the theory of exponential sums and their application to various Diophant...
In this paper, we provide a new bound for exponential sums in one variable. This new bound gives non...
Abstract In this paper monomial exponential sums over finite fields in certain index 2 cases are con...
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