Results 31 to 40 of about 167,996 (242)

ON THE FOURTH POWER MEAN OF GENERALIZED TWO-TERM EXPONENTIAL SUMS [PDF]

open access: yesBulletin of the Korean Mathematical Society, 2013
In this paper, we use the elementary method and the theory of complex functions to study the computational problem of the fourth power mean of the generalized two-term exponential sums, and give two exact identities for them.
Tingting Wang
openaire   +2 more sources

On the mean value of the two-term exponential sums with Dirichlet characters

open access: yesJournal of Number Theory, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Zhefeng   +2 more
openaire   +2 more sources

On moments of twisted $L$-functions [PDF]

open access: yes, 2016
We study the average of the product of the central values of two $L$-functions of modular forms $f$ and $g$ twisted by Dirichlet characters to a large prime modulus $q$.
Blomer, Valentin   +4 more
core   +1 more source

ON MIXED TWO-TERM EXPONENTIAL SUMS [PDF]

open access: yesJournal of the Korean Mathematical Society, 2010
In this paper, we shall use analytic methods to study the hybrid mean value involving the mixed two-term exponential sums C(m, n, r, chi; q), and give several sharp asymptotic formulae.
openaire   +1 more source

The exp-log normal form of types [PDF]

open access: yes, 2016
Lambda calculi with algebraic data types lie at the core of functional programming languages and proof assistants, but conceal at least two fundamental theoretical problems already in the presence of the simplest non-trivial data type, the sum type ...
Ahmad A.   +5 more
core   +4 more sources

Some new hybrid power mean formulae of trigonometric sums

open access: yesAdvances in Difference Equations, 2020
We apply the analytic method and the properties of the classical Gauss sums to study the computational problem of a certain hybrid power mean of the trigonometric sums and to prove several new mean value formulae for them.
Li Chen, Zhuoyu Chen
doaj   +1 more source

One Kind New Hybrid Power Mean and Its Computational Formulae

open access: yesJournal of Mathematics, 2022
The main purpose of this study is to use the elementary and analytic methods and the properties of the classical Gauss sums to study the calculation problems of one kind of hybrid power mean involving the quadratic character sums and the two-term ...
Li Wang, Xuexia Wang
doaj   +1 more source

Fast methods to compute the Riemann zeta function [PDF]

open access: yes, 2011
The Riemann zeta function on the critical line can be computed using a straightforward application of the Riemann-Siegel formula, Sch\"onhage's method, or Heath-Brown's method.
Hiary, Ghaith Ayesh
core   +1 more source

New sum-product type estimates over finite fields [PDF]

open access: yes, 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

Generalization of the coupled dipole method to periodic structures [PDF]

open access: yes, 2003
We present a generalization of the coupled dipole method to the scattering of light by arbitrary periodic structures. This new formulation of the coupled dipole method relies on the same direct-space discretization scheme that is widely used to study the
A. Lakhtakia   +24 more
core   +4 more sources

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