Results 21 to 30 of about 87,373 (257)
Note on Heath-Brown’s estimate for Heilbronn’s exponential sum [PDF]
Proceedings of the American Mathematical Society, 1999 We show that S h ( a ) = ∑ n = 1 p e ( a n h p p
openaire +1 more source
Computation of best $$L^{\infty }$$L∞ exponential sums for 1 / x by Remez’ algorithm
Computing and Visualization in Science, 2019 The approximation of the function 1 / x by exponential sums has several interesting applications. It is well known that best approximations with respect to the maximum norm exist.
W. Hackbusch
semanticscholar +1 more source
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
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New sum-product type estimates over finite fields [PDF]
, 2015 Let $F$ be a field with positive odd characteristic $p$. We prove a variety of new sum-product type estimates over $F$. They are derived from the theorem that the number of incidences between $m$ points and $n$ planes in the projective three-space $PG(3 ...
Roche-Newton, Oliver +2 more
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The distribution of the maximum of character sums
, 2012 We obtain explicit bounds on the moments of character sums, refining estimates of Montgomery and Vaughan. As an application we obtain results on the distribution of the maximal magnitude of character sums normalized by the square root of the modulus ...
Granville +2 more
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Multiple Exponential and Character Sums with Monomials
, 2013 We obtain new bounds of multivariate exponential sums with monomials, when the variables run over rather short intervals. Furthermore, we use the same method to derive estimates on similar sums with multiplicative characters to which previously known ...
Shparlinski, Igor
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Variations of Hausdorff Dimension in the Exponential Family [PDF]
, 2008 In this paper we deal with the following family of exponential maps $(f_\lambda:z\mapsto \lambda(e^z-1))_{\lambda\in [1,+\infty)}$. Denoting $d(\lambda)$ the hyperbolic dimension of $f_\lambda$.
Havard, Guillaume +2 more
core +4 more sources
Affine extractors over large fields with exponential error
, 2014 We describe a construction of explicit affine extractors over large finite fields with exponentially small error and linear output length. Our construction relies on a deep theorem of Deligne giving tight estimates for exponential sums over smooth ...
Bourgain, Jean +2 more
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Exponential Sums Related to Maass Forms [PDF]
, 2015 We estimate short exponential sums weighted by the Fourier coefficients of a Maass form. This requires working out a certain transformation formula for non-linear exponential sums, which is of independent interest.
Jääsaari, Jesse, Vesalainen, Esa V.
core
, 2013 In this paper, we use the analytic method and the properties of Gauss sums to study the computational problem of one kind fourth power mean of the generalized two-term exponential sums, and give an exact computational formula for it.MSC:11L40, 11F20.
Xiaoxue Li, Zhefeng Xu
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