Results 31 to 40 of about 37,887 (268)

Multiple Dirichlet Series for Affine Weyl Groups [PDF]

, 2014
Let $W$ be the Weyl group of a simply-laced affine Kac-Moody Lie group, excepting $\tilde{A}_n$ for $n$ even. We construct a multiple Dirichlet series $Z(x_1, \ldots x_{n+1})$, meromorphic in a half-space, satisfying a group $W$ of functional equations ...
Whitehead, Ian
core   +3 more sources

Note on the quadratic Gauss sums

International Journal of Mathematics and Mathematical Sciences, 2001
Let p be an odd prime and {χ(m)=(m/p)}, m=0,1,...,p−1 be a finite arithmetic sequence with elements the values of a Dirichlet character χ  modp which are defined in terms of the Legendre symbol (m/p), (m,p)=1. We study the relation between the Gauss and
George Danas
doaj   +1 more source

Spatiotemporal and ontogenetic variation, microbial selection, and predicted Bd-inhibitory function in the skin-associated microbiome of a Rocky Mountain amphibian

Frontiers in Microbiology, 2022
Host-associated microbiomes play important roles in host health and pathogen defense. In amphibians, the skin-associated microbiota can contribute to innate immunity with potential implications for disease management.
Kenen B. Goodwin, Kenen B. Goodwin, Jaren D. Hutchinson, Zachariah Gompert   +3 more
doaj   +1 more source

Computing Dirichlet character sums to a power-full modulus

, 2014
The Postnikov character formula is used to express large portions of a Dirichlet character sum in terms of quadratic exponential sums. The quadratic sums are then computed using an analytic algorithm previously derived by the author.
Hiary, Ghaith A.
core   +1 more source

Random Characters under the $L$-Measure, I: Dirichlet Characters [PDF]

International Mathematics Research Notices, 2017
We define the $L$-measure on the set of Dirichlet characters as an analogue of the Plancherel measure, once considered as a measure on the irreducible characters of the symmetric group. We compare the two measures and study the limit in distribution of characters evaluations when the size of the underlying group grows.
openaire   +2 more sources

Mean values of cubic and quartic Dirichlet characters [PDF]

Functiones et Approximatio Commentarii Mathematici, 2020
12 ...
Gao, Peng, Zhao, Liangyi
openaire   +5 more sources

A Joint Elliott Type Theorem for Twists of L-Functions of Elliptic Curves

Mathematical Modelling and Analysis, 2016
We consider a collection of L-functions of elliptic curves twisted by a Dirichlet character modulo q (q is a prime number), and prove for this collection a joint limit theorem for weakly convergent probability measures in the space of analytic functions ...
Virginija Garbaliauskienė, Antanas Laurinčikas   +1 more
doaj   +1 more source

On Dirichlet characters of polynomials [PDF]

Acta Arithmetica, 1984
In this paper our objective is to investigate the distribution of \(x\) such that \(\chi(f(x)) \ne 1\), where \(f\) is a fixed polynomial belonging to \(\mathbb Z[x]\) and \(\chi\) is a Dirichlet character of order \(q \bmod p\).
openaire   +2 more sources

Generalized q-Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities

Journal of Inequalities and Applications, 2010
We give a new construction of the q-Euler numbers and polynomials of higher order attached to Dirichlet's character χ. We derive some theoretic identities involving the generalized q-Euler numbers and polynomials of higher order.
T. Kim, Y. H. Kim
doaj   +1 more source

Character sums over generalized Lehmer numbers

Journal of Inequalities and Applications, 2016
Let q > 2 $q>2$ be an integer, n ⩾ 2 $n\geqslant2$ be a fixed integer with ( n , q ) = 1 $(n,q)=1$ , ψ be a non-principal Dirichlet character modq. An upper bound estimate for character sums of the form ∑ a ∈ C ( 1 , q ) ψ ( a ) $$\sum_{a\in\textit{C}(1 ...
Yuankui Ma, Hui Chen, Zhenzhen Qin, Tianping Zhang   +3 more
doaj   +1 more source