Results 21 to 30 of about 84,258 (216)
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
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
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
On the exponential sums estimates related to Fourier coefficients of $ GL_3 $ Hecke-Maaß forms
AIMS Mathematics, 2023 <abstract><p>Let $ F $ be a normlized Hecke-Maaß form for the congruent subgroup $ \Gamma_0(N) $ with trivial nebentypus. In this paper, we study the problem of the level aspect estimates for the exponential sum</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \mathscr{L}_F(\alpha) = \sum ...
openaire +2 more sources
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
core +3 more sources
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
core +1 more source
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
core +1 more source
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
core +1 more source
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
FEBS Letters, EarlyView.This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva +5 more
wiley +1 more source