Results 31 to 40 of about 165,955 (179)
Estimates for exponential sums [PDF]
Proceedings of the American Mathematical Society, 1980 If f is a polynomial over Z of degree n + 1 n + 1 with n ⩾ 1 n \geqslant 1 , then for each integer q ⩾ 1 , | Σ 1 ⩽ x ⩽
openaire +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
, 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. +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
Towards Large-scale Functional Verification of Universal Quantum Circuits [PDF]
Electronic Proceedings in Theoretical Computer Science, 2019 We introduce a framework for the formal specification and verification of quantum circuits based on the Feynman path integral. Our formalism, built around exponential sums of polynomial functions, provides a structured and natural way of specifying ...
Matthew Amy
doaj +1 more source
Stability Analysis of Discrete-Time Stochastic Delay Systems with Impulses
Mathematics, 2021 This paper is concerned with stability analysis of discrete-time stochastic delay systems with impulses. By using the sums average value of the time-varying coefficients and the average impulsive interval, two sufficient criteria for exponential ...
Ting Cai, Pei Cheng
doaj +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
Bounds of triple exponential sums with mixed exponential and linear terms
, 2018 We establish bounds of triple exponential sums with mixed exponential and linear function. The method we use is by Shparlinski together with a bound of additive energy from Roche-Newton, Rudnev and Shkredov.Comment: Corrected a ...
Yau, Kam Hung
core +1 more source
One kind sixth power mean of the three-term exponential sums
Open Mathematics, 2017 In this paper, we use the estimate for trigonometric sums and the properties of the congruence equations to study the computational problem of one kind sixth power mean of the three-term exponential sums.
Wang Xiaoying, Li Xiaoxue
doaj +1 more source