Results 51 to 60 of about 1,483,300 (312)

Sharp Estimates for Proximity of Geometric and Related Sums Distributions to Limit Laws

Mathematics, 2022
The convergence rate in the famous Rényi theorem is studied by means of the Stein method refinement. Namely, it is demonstrated that the new estimate of the convergence rate of the normalized geometric sums to exponential law involving the ideal ...
Alexander Bulinski, Nikolay Slepov
doaj   +1 more source

Exponential sums with automatic sequences

, 2017
We show that automatic sequences are asymptotically orthogonal to periodic exponentials of type $e_q(f(n))$, where $f$ is a rational fraction, in the P\'olya-Vinogradov range.
Drappeau, Sary, Müllner, Clemens
core   +3 more sources

Zeros of Exponential Sums [PDF]

Proceedings of the American Mathematical Society, 1965
1. M. Marden, The geometry of the zeros of a polynomial in a complex variable, Math. Surveys No. 3, Amer. Math. Soc., Providence, R. I., f949. 2. A. Ostrowski, Recherches sur la methode de Graeffe et les zdros des polynomes et des s6ries de Laurent, Acta Math. 72 (1940), 99-257. 3. Z.
openaire   +2 more sources

Hybrid mean value involving some two-term exponential sums and fourth Gauss sums

Electronic Research Archive
Let $ q\ge3 $ be a positive integer. For any integers $ m $, $ n $, $ k $, $ h $, the two-term exponential sums $ C(m, n, k, h; q) $ is defined as $ C(m, n, k, h;q) = \sum\limits_{a = 1}^{q}e\left(\frac{ma^k+na^h}{q}\right) $, where $ k > h\ge 2 $.
Zhefeng Xu, Xiaoying Liu, Luyao Chen
doaj   +1 more source

BMO-estimation and Almost Everywhere Exponential Summability of Quadratic Partial Sums of Double Fourier Series

, 2013
It is proved a $BMO$-estimation for quadratic partial sums of two-dimensional Fourier series from which it is derived an almost everywhere exponential summability of quadratic partial sums of double Fourier ...
Goginava, U., Gogoladze, L., Karagulyan, G.   +2 more
core   +1 more source

ON HEILBRONN'S EXPONENTIAL SUM [PDF]

The Quarterly Journal of Mathematics, 2012
In the paper we prove a new upper bound for Heilbronn's exponential sum and obtain some applications of our result to distribution of Fermat quotients.
openaire   +2 more sources

Moments and oscillations of exponential sums related to cusp forms [PDF]

Mathematical Proceedings of the Cambridge Philosophical Society, 2014
We consider large values of long linear exponential sums involving Fourier coefficients of holomorphic cusp forms. The sums we consider involve rational linear twists e(nh/k) with sufficiently small denominators.
Esa V. Vesalainen
semanticscholar   +1 more source

On the two-term exponential sums and character sums of polynomials

Open Mathematics, 2019
The main aim of this paper is to use the analytic methods and the properties of the classical Gauss sums to research the computational problem of one kind hybrid power mean containing the character sums of polynomials and two-term exponential sums modulo
Ma Yuankui, Zhang Wenpeng
doaj   +1 more source

A note on two-term exponential sum and the reciprocal of the quartic Gauss sums

Advances in Difference Equations, 2021
The main purpose of this article is by using the properties of the fourth character modulo a prime p and the analytic methods to study the calculating problem of a certain hybrid power mean involving the two-term exponential sums and the reciprocal of ...
Wenpeng Zhang, Xingxing Lv
doaj   +1 more source

Interplay between circadian and other transcription factors—Implications for cycling transcriptome reprogramming

FEBS Letters, EarlyView.
This perspective highlights emerging insights into how the circadian transcription factor CLOCK:BMAL1 regulates chromatin architecture, cooperates with other transcription factors, and coordinates enhancer dynamics. We propose an updated framework for how circadian transcription factors operate within dynamic and multifactorial chromatin landscapes ...
Xinyu Y. Nie, Jerome S. Menet
wiley   +1 more source