We prove various results on the exponential sum over k-free numbers. As an application, we solve for the first time a non-trivial binary problem by means of the circle method
summary:We consider $k$-free numbers over Beatty sequences. New results are given. In particular, fo...
We prove an asymptotic formula (that refines old results by Walfisz and Mirsky) for the number of...
We prove an asymptotic formula (that refines old results by Walfisz and Mirsky) for the number of ...
We obtain various bounds for the L^1 and L^2 norms of the exponential sums over the twins of k-free ...
Abstract. We investigate the size of Lp-integrals for exponential sums over k-free numbers and prove...
AbstractA subset of the natural numbers isk-sum-free if it contains no solutions of the equationx1+…...
The classical results of the Dirichlet Divisor Problem and Gauss' Circle Problem are examined, with ...
We state and discuss various problems in the general area of arithmetic combinatorics and recent dev...
In this thesis we use recent versions of the Circle Method to prove three theorems in the area of ad...
In this thesis we use recent versions of the Circle Method to prove three theorems in the area of ad...
AbstractElementary and exponential sum approaches are used to obtain results for gaps between square...
AbstractWe give bounds for exponential sums associated to functions on curves defined over Galois ri...
AbstractIn this paper we obtain an improved asymptotic formula on the frequency of k-free numbers wi...
Abstract In this paper, we prove the following estimate on exponential sums over primes: Let k ≥ 1
This work is concerned with the theory of exponential sums and their application to various Diophant...
summary:We consider $k$-free numbers over Beatty sequences. New results are given. In particular, fo...
We prove an asymptotic formula (that refines old results by Walfisz and Mirsky) for the number of...
We prove an asymptotic formula (that refines old results by Walfisz and Mirsky) for the number of ...
We obtain various bounds for the L^1 and L^2 norms of the exponential sums over the twins of k-free ...
Abstract. We investigate the size of Lp-integrals for exponential sums over k-free numbers and prove...
AbstractA subset of the natural numbers isk-sum-free if it contains no solutions of the equationx1+…...
The classical results of the Dirichlet Divisor Problem and Gauss' Circle Problem are examined, with ...
We state and discuss various problems in the general area of arithmetic combinatorics and recent dev...
In this thesis we use recent versions of the Circle Method to prove three theorems in the area of ad...
In this thesis we use recent versions of the Circle Method to prove three theorems in the area of ad...
AbstractElementary and exponential sum approaches are used to obtain results for gaps between square...
AbstractWe give bounds for exponential sums associated to functions on curves defined over Galois ri...
AbstractIn this paper we obtain an improved asymptotic formula on the frequency of k-free numbers wi...
Abstract In this paper, we prove the following estimate on exponential sums over primes: Let k ≥ 1
This work is concerned with the theory of exponential sums and their application to various Diophant...
summary:We consider $k$-free numbers over Beatty sequences. New results are given. In particular, fo...
We prove an asymptotic formula (that refines old results by Walfisz and Mirsky) for the number of...
We prove an asymptotic formula (that refines old results by Walfisz and Mirsky) for the number of ...
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