We obtain various bounds for the L^1 and L^2 norms of the exponential sums over the twins of k-free numbers. We also obtain some applications of such results
We give a lower bound for the L^1 norm of the exponential sum associated with the Moebius function
Under the generalized Lindelöf Hypothesis in the t- and q-aspects, we bound exponential sums with co...
AbstractIn this paper we obtain an improved asymptotic formula on the frequency of k-free numbers wi...
We give a new upper bound of Barban-Davenport-Halberstam type for twins of k-free numbers in arithme...
We prove various results on the exponential sum over k-free numbers. As an application, we solve for...
In this paper, we obtain bounds on the L¹-norm of the sum ∑_(n≤x)τ(n)e(αn) where τ(n) is the divisor...
Abstract. We investigate the size of Lp-integrals for exponential sums over k-free numbers and prove...
AbstractWe give an upper bound for some exponential sums over primes, using only sieve methods and C...
Abstract. In this paper, we improve results of Gillot, Kumar and Moreno to estimate some exponential...
AbstractWe give nontrivial bounds in various ranges for exponential sums of the form∑n∈S(x,y)exp(2π...
We give nontrivial bounds in various ranges for exponential sums of the form [equation omitted for f...
Let Λn: = {λ0 < λ1 < · · · < λn} be a set of real numbers. The collection of all linear c...
summary:We consider $k$-free numbers over Beatty sequences. New results are given. In particular, fo...
Abstract. Let p be a prime and V an integer of order t in the multiplicative group modulo p. In this...
Abstract. Let g1, g2, : : : , gn be the generators of the free group Fn and denote by its left regu...
We give a lower bound for the L^1 norm of the exponential sum associated with the Moebius function
Under the generalized Lindelöf Hypothesis in the t- and q-aspects, we bound exponential sums with co...
AbstractIn this paper we obtain an improved asymptotic formula on the frequency of k-free numbers wi...
We give a new upper bound of Barban-Davenport-Halberstam type for twins of k-free numbers in arithme...
We prove various results on the exponential sum over k-free numbers. As an application, we solve for...
In this paper, we obtain bounds on the L¹-norm of the sum ∑_(n≤x)τ(n)e(αn) where τ(n) is the divisor...
Abstract. We investigate the size of Lp-integrals for exponential sums over k-free numbers and prove...
AbstractWe give an upper bound for some exponential sums over primes, using only sieve methods and C...
Abstract. In this paper, we improve results of Gillot, Kumar and Moreno to estimate some exponential...
AbstractWe give nontrivial bounds in various ranges for exponential sums of the form∑n∈S(x,y)exp(2π...
We give nontrivial bounds in various ranges for exponential sums of the form [equation omitted for f...
Let Λn: = {λ0 < λ1 < · · · < λn} be a set of real numbers. The collection of all linear c...
summary:We consider $k$-free numbers over Beatty sequences. New results are given. In particular, fo...
Abstract. Let p be a prime and V an integer of order t in the multiplicative group modulo p. In this...
Abstract. Let g1, g2, : : : , gn be the generators of the free group Fn and denote by its left regu...
We give a lower bound for the L^1 norm of the exponential sum associated with the Moebius function
Under the generalized Lindelöf Hypothesis in the t- and q-aspects, we bound exponential sums with co...
AbstractIn this paper we obtain an improved asymptotic formula on the frequency of k-free numbers wi...
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