Results 21 to 30 of about 2,002 (253)

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
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Murmurations of Dirichlet Characters

International Mathematics Research Notices
Abstract We calculate murmuration densities for two families of Dirichlet characters. The first family contains complex Dirichlet characters normalized by their Gauss sums. Integrating the first density over a geometric interval yields a murmuration function compatible with experimental observations.
Lee, Kyu-Hwan, Oliver, Thomas, Pozdnyakov, Alexey   +2 more
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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
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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
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A note on Dirichlet characters [PDF]

Mathematics of Computation, 1973
Denoting by r ( k , m , 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
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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
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A note on the Dirichlet characters of polynomials [PDF]

Acta Arithmetica, 2004
This paper is a continuation of a paper of the first author together with \textit{Y. Yi} [Bull. Lond. Math. Soc. 34, 469--473 (2002; Zbl 1038.11052)]. The main result is a generalized identity of the form \[ \sum_{n=1}^{q}\chi\bigl(f(n)\bigr)= \varepsilon(\chi,f)\cdot q^{1/2} \] where \(q\) is a perfect square, \(\chi\) a primitive Dirichlet character ...
Zhang, Wenpeng, Yao, Weili
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On the first power mean of L-functions with the weight of general Kloosterman sums

International Journal of Mathematics and Mathematical Sciences, 2002
The main purpose of this paper is using the estimates for character sums and the analytic method to study the first power mean of Dirichlet L-functions with the weight of general Kloosterman sums, and give an interesting asymptotic formula.
Zhang Wenpeng
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Influence of Scan Strategies in Electron Beam Powder Bed Fusion on Solidification, Microstructure, and High‐Temperature Compressive Properties of γ′‐Strengthened Inconel 738LC

Advanced Engineering Materials, EarlyView.
Experiments and thermophysical simulations were conducted to investigate the electron beam powder bed fusion electron beam (PBF‐EB/M) process for the γ′‐strengthened nickel‐based superalloy Inconel 738LC. The results demonstrate the impact of process‐induced microstructural variations on high‐temperature mechanical behavior, providing a basis for ...
Jan Niklas Petenati, Karthik Kumar Banku, Prasanth Bondi, Ivan Zhirnov, Yangyiwei Yang, Gordon Schmidt, Jürgen Christen, Georg Hasemann, Manja Krüger, Bai‐Xiang Xu, Bilal Gökce, Silja‐Katharina Rittinghaus   +11 more
wiley   +1 more source