Results 1 to 10 of about 122,337 (231)
Estimates for Mixed Character Sums [PDF]
Geometric and Functional Analysis, 2008 We give sharp estimates for certain families of exponential sums in several variables over finite fields.
Nicholas M Katz
exaly +2 more sources
Estimates for character sums with various convolutions [PDF]
Acta Arithmetica, 2017 17 ...
Brandon Hanson
exaly +3 more sources
Estimates for singular multiplicative character sums [PDF]
, 2005 We give some estimates for multiplicative character sums on quasiprojective varieties over finite fields depending on the severity of the singularities of the variety at infinity.
Rojas León, Antonio
core +4 more sources
Estimates for character sums [PDF]
Proceedings of the American Mathematical Society, 1993 We give a number of estimates for character sums \[ ∑ a ∈ A ∑ b ∈ B χ ( a +
Friedlander, J., Iwaniec, H.
openaire +2 more sources
Estimating Additive Character Sums for Fuchsian Groups [PDF]
The Ramanujan Journal, 2003 Some forty years ago, in connection with the (Eichler) cohomology of automorphic forms, \textit{M. Eichler} [Acta Arith. 11, 169--180 (1965; Zbl 0148.32503)] introduced (what later came to be called) the ``generalized Poincaré (in particular, Eistenstein) series''.
Goldfeld, Dorian, O'Sullivan, Cormac
openaire +1 more source
An estimate for character sums [PDF]
Journal of the American Mathematical Society, 1989 Let \(F\) be a finite field and \(E=F(x)\) an extension of degree \(n\). Let \(\chi\) be a nonprincipal character of \(E\). The author deduces from Weil's theorem that \[ S=| \sum_{t\in F}\chi (t-x)| \leq (n-1)\sqrt{\#F}, \] and a generalization of this inequality. This improves the estimate (for \(F\) a prime-field) \(S=0(\#F^{1-(n+1)})\) obtained by \
openaire +2 more sources
P\'olya-Vinogradov and the least quadratic nonresidue [PDF]
, 2015 It is well-known that cancellation in short character sums (e.g. Burgess' estimates) yields bounds on the least quadratic nonresidue. Scant progress has been made on short character sums since Burgess' work, so it is desirable to find a new approach to ...
Bober, Jonathan, Goldmakher, Leo
core +3 more sources
On Congruences with Products of Variables from Short Intervals and Applications [PDF]
, 2012 We obtain upper bounds on the number of solutions to congruences of the type $$ (x_1+s)...(x_{\nu}+s)\equiv (y_1+s)...(y_{\nu}+s)\not\equiv0 \pmod p $$ modulo a prime $p$ with variables from some short intervals.
E. Shparlinski +4 more
core +1 more source
Character sums estimates and an application to a problem of Balog
Indiana University Mathematics Journal, 2022 We prove new bounds for sums of multiplicative characters over sums of set with small doubling and applying this result we break the square--root barrier in a problem of Balog concerning products of differences in a field of prime order.
Schoen, Tomasz, Shkredov, Ilya
openaire +2 more sources
Exponential sums with reducible polynomials
Discrete Analysis, 2019 Exponential sums with reducible polynomials, Discrete Analysis 2019:15, 31 pp. A sequence $(a_n)$ of real numbers in the interval $[0,1]$ is said to be _equidistributed_ if for every subinterval $[a,b]$ of $[0,1]$, the proportion of the $a_n$ that live
Cécile Dartyge, Greg Martin
doaj +1 more source