Results 11 to 20 of about 2,365 (187)

Dirichlet Characters, Gauss Sums, and Inverse Z Transform

Abstract and Applied Analysis, 2012
A generalized Möbius transform is presented. It is based on Dirichlet characters. A general algorithm is developed to compute the inverse Z transform on the unit circle, and an error estimate is given for the truncated series representation.
Jing Gao, Huaning Liu
doaj   +1 more source

Relation of the Cyclotomic Equation with the Harmonic and Derived Series

The Scientific World Journal, 2015
We associate some (old) convergent series related to definite integrals with the cyclotomic equation xm-1=0, for several natural numbers m; for example, for m=3, x3-1=(x-1)(1+x+x2) leads to ∫01dx(1/(1+x+x2))=π/(33)=(1-1/2)+(1/4-1/5)+(1/7-1/8)+⋯.
Luis J. Boya, Cristian Rivera
doaj   +1 more source

Critical dense polymers with Robin boundary conditions, half-integer Kac labels and Z4 fermions

Nuclear Physics B, 2014
For general Temperley–Lieb loop models, including the logarithmic minimal models LM(p,p′) with p,p′ coprime integers, we construct an infinite family of Robin boundary conditions on the strip as linear combinations of Neumann and Dirichlet boundary ...
Paul A. Pearce, Jørgen Rasmussen, Ilya Yu. Tipunin   +2 more
doaj   +1 more source

Mean Values of Products of L-Functions and Bernoulli Polynomials

Mathematics, 2018
Let m 1 , ⋯ , m r be nonnegative integers, and set: M r = m 1 + ⋯ + m r . In this paper, first we establish an explicit linear decomposition of: ∏ i = 1 r B m i ( x ) m i !
Abdelmejid Bayad, Daeyeoul Kim
doaj   +1 more source

The Erdős discrepancy problem

Discrete Analysis, 2016
The Erdős discrepancy problem, Discrete Analysis 2016:1, 27 pp. One of Erdős's most famous problems was his _discrepancy_ problem, which is the following deceptively simple question. Let $\epsilon_1,\epsilon_2,\dots$ be a sequence of 1s and -1s and let $
Terence Tao
doaj   +1 more source

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

New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design

Advanced Engineering Materials, EarlyView.
This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare, Y. Beideler, D. Chune, R. De Guio, T. Roland, H. Chibane   +5 more
wiley   +1 more source

High‐Resolution Corrosion Fingerprinting of Alloy Libraries via Microdroplet Spectroelectrochemistry

Advanced Engineering Materials, EarlyView.
Ionic‐liquid microdroplet spectroelectrochemistry enables stable, localized electrochemical measurements over extended timescales. By coupling impedance spectroscopy, wetting analysis, finite‐element simulations, and operando Raman spectroscopy, it disentangles geometrical and electrochemical effects, opening new opportunities for rapid corrosion ...
Ekaterina Kurchavova, Oumaïma Gharbi, Mireille Turmine, Vincent Vivier   +3 more
wiley   +1 more source

Topology and Material Optimization in Ultra‐Soft Magneto‐Active Structures: Making Advantage of Residual Anisotropies

Advanced Materials, EarlyView.
Residual magnetization induces pronounced mechanical anisotropy in ultra‐soft magnetorheological elastomers, shaping deformation and actuation even without external magnetic fields. This study introduces a computational‐experimental framework integrating magneto‐mechanical coupling into topology optimization for designing soft magnetic actuators with ...
Carlos Perez‐Garcia, Rogelio Ortigosa, Jesús Martínez‐Frutos, Daniel Garcia‐Gonzalez   +3 more
wiley   +1 more source

Asymptotic second moment of Dirichlet L-functions along a thin coset

Forum of Mathematics, Sigma
We prove an asymptotic formula for the second moment of central values of Dirichlet L-functions restricted to a coset. More specifically, consider a coset of the subgroup of characters modulo d inside the full group of characters modulo q. Suppose that
Bradford Garcia, Matthew P. Young
doaj   +1 more source