Add to ORKGAbstract. Let p be a prime and V an integer of order t in the multiplicative group modulo p. In this paper, we give an explicit bound on the double exponential sums. For p 1 3+ t p 12; we have ~Sa;b;c(t) = tX x;y=1 ep(aV x + bV y + cV xy) t2 110400: 2000]Primary 05C38, 15A15; Secondary 05A15, 15A18 1
An x-pseudopower to base g is a positive integer which is not a power of g yet is so modulo p for al...
Abstract. We describe mean value estimates for exponential sums of degree exceeding 2 that approach ...
AbstractWe give nontrivial bounds in various ranges for exponential sums of the form∑n∈S(x,y)exp(2π...
Let g be a primitive root modulo a prime p. It is proved that the triples (gx, gy, gxy), x, yfl 1, …...
http://www.math.missouri.edu/~bbanks/papers/index.htmlLet p be a prime and 79 an integer of order t ...
Let g be a primitive root modulo a prime p. It is proved that the triples (gx, gy, gxy), x, yfl 1, …...
J. Bourgain and the author have recently estimated exponential sums with consecutive modular roots θ...
Let Fp be a prime field of p elements and let g be an element of Fp of multiplicative order t modulo...
We derive two new upper bounds on the double multiplicative character sum over subgroups and interva...
For a fixed integer s ≥ 1, we estimate exponential sums with harmonic sums [equation omitted for for...
AbstractWe estimate the number of solutions of certain congruences with Catalan numbers and middle b...
In this paper we consider exponential sums of the type (1.1) S(axn + bx, pm) = x mod p
We estimate double sums \( S_\chi(a, I, G) = \sum_{x \in I} \sum_{\lambda \in G} \chi(x + a\lambda...
Abstract. We give estimates for the exponential sum ∑p x=1 exp(2piif(x)/p), p a prime and f a non-ze...
AbstractFor a fixed integer s≥2, we estimate exponential sums with alternative power sums As(n)=∑i=0...
An x-pseudopower to base g is a positive integer which is not a power of g yet is so modulo p for al...
Abstract. We describe mean value estimates for exponential sums of degree exceeding 2 that approach ...
AbstractWe give nontrivial bounds in various ranges for exponential sums of the form∑n∈S(x,y)exp(2π...
Let g be a primitive root modulo a prime p. It is proved that the triples (gx, gy, gxy), x, yfl 1, …...
http://www.math.missouri.edu/~bbanks/papers/index.htmlLet p be a prime and 79 an integer of order t ...
Let g be a primitive root modulo a prime p. It is proved that the triples (gx, gy, gxy), x, yfl 1, …...
J. Bourgain and the author have recently estimated exponential sums with consecutive modular roots θ...
Let Fp be a prime field of p elements and let g be an element of Fp of multiplicative order t modulo...
We derive two new upper bounds on the double multiplicative character sum over subgroups and interva...
For a fixed integer s ≥ 1, we estimate exponential sums with harmonic sums [equation omitted for for...
AbstractWe estimate the number of solutions of certain congruences with Catalan numbers and middle b...
In this paper we consider exponential sums of the type (1.1) S(axn + bx, pm) = x mod p
We estimate double sums \( S_\chi(a, I, G) = \sum_{x \in I} \sum_{\lambda \in G} \chi(x + a\lambda...
Abstract. We give estimates for the exponential sum ∑p x=1 exp(2piif(x)/p), p a prime and f a non-ze...
AbstractFor a fixed integer s≥2, we estimate exponential sums with alternative power sums As(n)=∑i=0...
An x-pseudopower to base g is a positive integer which is not a power of g yet is so modulo p for al...
Abstract. We describe mean value estimates for exponential sums of degree exceeding 2 that approach ...
AbstractWe give nontrivial bounds in various ranges for exponential sums of the form∑n∈S(x,y)exp(2π...