We extend some methods of bounding exponential sums of the type ∑n≤Ne²πiagn/p to deal with the case when g is not necessarily a primitive root. We also show that some recent results of Shkredov concerning additive properties of multiplicative subgroups imply new bounds for the sums under consideration.12 page(s
These notes arose from my Cambridge Part III course on Additive Combinatorics, given in Lent Term 20...
J. Bourgain and the author have recently estimated exponential sums with consecutive modular roots θ...
http://www.math.missouri.edu/~bbanks/papers/index.htmlLet p be a prime and 79 an integer of order t ...
Abstract. We show that there is significant cancellation in certain exponential sums over small mult...
We give nontrivial bounds in various ranges for exponential sums of the form [equation omitted for f...
Abstract In this paper, we present some new inequalities for sums of exponential functions which imp...
AbstractWe give nontrivial bounds in various ranges for exponential sums of the form∑n∈S(x,y)exp(2π...
AbstractWe consider incomplete exponential sums in several variables of the form S(f,n,m)=12n∑x1∈{-1...
Under the generalized Lindelöf Hypothesis in the t- and q-aspects, we bound exponential sums with co...
We consider incomplete exponential sums in several variables of the form S(f, n,m) =
We obtain new bounds of multivariate exponential sums with monomials, when the variables run over ra...
In this paper we consider exponential sums of the type (1.1) S(axn + bx, pm) = x mod p
We derive two new upper bounds on the double multiplicative character sum over subgroups and interva...
Abstract. We give estimates for the exponential sum ∑p x=1 exp(2piif(x)/p), p a prime and f a non-ze...
We prove the remaining part of the conjecture by Denef and Sperber [Denef, J. and Sperber, S., Expon...
These notes arose from my Cambridge Part III course on Additive Combinatorics, given in Lent Term 20...
J. Bourgain and the author have recently estimated exponential sums with consecutive modular roots θ...
http://www.math.missouri.edu/~bbanks/papers/index.htmlLet p be a prime and 79 an integer of order t ...
Abstract. We show that there is significant cancellation in certain exponential sums over small mult...
We give nontrivial bounds in various ranges for exponential sums of the form [equation omitted for f...
Abstract In this paper, we present some new inequalities for sums of exponential functions which imp...
AbstractWe give nontrivial bounds in various ranges for exponential sums of the form∑n∈S(x,y)exp(2π...
AbstractWe consider incomplete exponential sums in several variables of the form S(f,n,m)=12n∑x1∈{-1...
Under the generalized Lindelöf Hypothesis in the t- and q-aspects, we bound exponential sums with co...
We consider incomplete exponential sums in several variables of the form S(f, n,m) =
We obtain new bounds of multivariate exponential sums with monomials, when the variables run over ra...
In this paper we consider exponential sums of the type (1.1) S(axn + bx, pm) = x mod p
We derive two new upper bounds on the double multiplicative character sum over subgroups and interva...
Abstract. We give estimates for the exponential sum ∑p x=1 exp(2piif(x)/p), p a prime and f a non-ze...
We prove the remaining part of the conjecture by Denef and Sperber [Denef, J. and Sperber, S., Expon...
These notes arose from my Cambridge Part III course on Additive Combinatorics, given in Lent Term 20...
J. Bourgain and the author have recently estimated exponential sums with consecutive modular roots θ...
http://www.math.missouri.edu/~bbanks/papers/index.htmlLet p be a prime and 79 an integer of order t ...
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