Results 21 to 30 of about 2,711 (86)
Complete Solving for Explicit Evaluation of Gauss Sums in the Index 2 Case
, 2010 Let $p$ be a prime number, $q=p^f$ for some positive integer $f$, $N$ be a positive integer such that $\gcd(N,p)=1$, and let $\k$ be a primitive multiplicative character of order $N$ over finite field $\fq$.
B. C. Berndt +18 more
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First Moment of Hecke $L$-functions with quartic characters at the central point
, 2019 In this paper, we study the first moment of central values of Hecke $L$-functions associated with quartic characters.Comment: 11 ...
Gao, Peng, Zhao, Liangyi
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Moments of central values of cubic Hecke $L$-functions of $\mathbb{Q}(i)$
, 2020 In this paper, we study moments of central values of cubic Hecke $L$-functions in $\mathbb{Q}(i)$, and establish quantitative non-vanishing result for those values.Comment: 15 ...
Gao, Peng, Zhao, Liangyi
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The mechanical efficiency of civil engineering structures is a key factor in the sustainable transformation of the building sector. This study presents topology optimization in civil engineering design. The static load profile of civil engineering structures is typically dominated by their self‐weight, which introduces, as a special ...
Daniela Masarczyk +2 more
wiley +1 more source
Character Sums, Gaussian Hypergeometric Series, and a Family of Hyperelliptic Curves
, 2015 We study the character sums \[\phi_{(m,n)}(a,b)=\sum_{x\in\mathbb{F}_q}\phi\left(x(x^{m}+a)(x^{n}+b)\right),\textrm{ and, } \psi_{(m,n)}(a,b)=\sum_{x\in\mathbb{F}_q}\phi\left((x^{m}+a)(x^{n}+b)\right)\] where $\phi$ is the quadratic character defined ...
Sadek, Mohammad
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 492-509, April 2026.This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley +1 more source
The Rabin cryptosystem revisited [PDF]
, 2013 The Rabin public-key cryptosystem is revisited with a focus on the problem of identifying the encrypted message unambiguously for any pair of primes.
Elia, Michele +2 more
core
A note on the sign (unit root) ambiguities of Gauss sums in index 2 and 4 cases
, 2009 Recently, the explicit evaluation of Gauss sums in the index 2 and 4 cases have been given in several papers (see [2,3,7,8]). In the course of evaluation, the sigh (or unit root) ambiguities are unavoidably occurred.
B. C. Berndt +15 more
core +1 more source
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Non‐Markovian Exceptional Points in Waveguide Quantum Electrodynamics
Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.Non‐Markovian waveguide‐QED systems exhibit dynamical transitions governed by exceptional points arising from retardation and interference. Giant atoms and spatially separated emitters display oscillatory relaxation and real zeros in the excited‐state amplitude at critical delay times.
Stefano Longhi
wiley +1 more source