Results 221 to 230 of about 167,996 (242)

Upper bounds on a two-term exponential sum*

Science in China Series A: Mathematics, 2001
The authors derive upper bounds for mixed exponential sums of type \[ S( \chi, a x^n + bx, p^m) = \sum_{_{\substack{ x=1\\ p \nmid x}}}^{p^m} \chi(x) e_{p^m}(a x^n + bx), \] where \(p^m\) is a prime power with \(m \geq 2\), \(a,b\) are integers, \(n \geq 2\), \(\chi\) is a multiplicative character mod \(p^m\) and \(e_{p^m}(x) = \exp(2 \pi i x/p^m ...
Cochrane, Todd, Zheng, Zhiyong
openaire   +2 more sources

The mean value involving Dedekind sums and two-term exponential sums

Science China Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Tingting, Pan, Xiaowei
openaire   +2 more sources

A HIGH-ORDER TWO-TERM EXPONENTIAL SUM AND ITS MEAN VALUE PROBLEM

JP Journal of Algebra, Number Theory and Applications
Summary: This paper investigates a high-order two-term exponential sum and its mean value problem. The main focus is on studying the calculation problem of the fourth power mean of the high-order two-term exponential sum. This is done by utilizing the number of solutions of congruence equations and analytic methods.
Wang, Li, Liu, Xiaoge
openaire   +2 more sources

Classification by ordinal sums of conjunctive and disjunctive functions for explainable AI and interpretable machine learning solutions

Knowledge-Based Systems, 2021
Miroslav Hudec, Anna Saranti, Andreas Holzinger   +2 more
exaly  

Total internal partition sums for the HITRAN2020 database

Journal of Quantitative Spectroscopy and Radiative Transfer, 2021
Robert R Gamache, Bastien Vispoel, Michaël Rey   +2 more
exaly  

Congruences on sums of q-binomial coefficients

Advances in Applied Mathematics, 2020
Ji-Cai Liu, F V Petrov
exaly  

Surface-Plasmon-Driven Hot Electron Photochemistry

Chemical Reviews, 2018
Yuchao Zhang, , Wenxiao Guo
exaly  

Gap filling strategies for defensible annual sums of net ecosystem exchange

Agricultural and Forest Meteorology, 2001
D D Baldocchi, Marc Aubinet, Christian Bernhofer   +2 more
exaly  

User-Friendly Tail Bounds for Sums of Random Matrices

Foundations of Computational Mathematics, 2011
Joel A Tropp
exaly  

Total internal partition sums for 166 isotopologues of 51 molecules important in planetary atmospheres: Application to HITRAN2016 and beyond

Journal of Quantitative Spectroscopy and Radiative Transfer, 2017
Robert R Gamache, Iouli E Gordon, Laurence Rothman   +2 more
exaly