Results 21 to 30 of about 2,691 (96)

A new fourth power mean of two-term exponential sums

Open Mathematics, 2019
The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to study a special fourth power mean of a two-term exponential sums modp, with p an odd prime, and prove interesting new identities.
Li Chen, Xiao Wang
doaj   +1 more source

On the hybrid power mean of two kind different trigonometric sums

Open Mathematics, 2019
The main purpose of this paper is using the analytic method, the properties of trigonometric sums and Gauss sums to study the computational problem of one kind hybrid power mean involving two different trigonometric sums, and give an interesting ...
Zhuoyu Chen, Wenpeng Zhang
doaj   +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
core   +1 more source

Matrix Factorizations and Homological Mirror Symmetry on the Torus [PDF]

, 2007
We consider matrix factorizations and homological mirror symmetry on the torus T^2 using a Landau-Ginzburg description. We identify the basic matrix factorizations of the Landau-Ginzburg superpotential and compute the full spectrum, taking into account ...
A. Kapustin, A. Kapustin, A. Kapustin, A. Polishchuk, A. Polishchuk, A. Polishchuk, A. Polishchuk, A. Recknagel, C. Schmidt-Colinet, C.I. Lazaroiu, D. Mumford, D. Orlov, D. Orlov, E. Dell'Aquila, H. Enger, H. Jockers, H. M. Farkas, Harun Omer, I. Brunner, I. Brunner, I. Brunner, I. Brunner, J. Knapp, Johanna Knapp, K. Hori, K. Hori, L.E. Ibáñez, M. Herbst, M. Herbst, M. Herbst, P.S. Aspinwall, S. Govindarajan, S.K. Ashok   +32 more
core   +4 more sources

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
core   +1 more source

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
core   +1 more source

The phase structure of a chirally invariant lattice Higgs-Yukawa model for small and for large values of the Yukawa coupling constant [PDF]

, 2007
We consider a chirally invariant lattice Higgs-Yukawa model based on the Neuberger overlap operator. As a first step towards the eventual determination of Higgs mass bounds we study the phase diagram of the model analytically in the large Nf-limit.
A.K. De, I. Montvay, J. Giedt, J. Giedt, J. Zinn-Justin., Karl Jansen, P. Gerhold, P. Gerhold, Philipp Gerhold   +8 more
core   +2 more sources

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, C. F. Gauss, H. Davenport, J. H. Lint Van, J. MacWilliams, J. Yang, Jing Yang, K. Ireland, K. Q. Feng, L. D. Baumert, L. D. Baumert, L. Stickelberger, LingLi Xia, M. Vlugt van der, O. D. Mbodj, P. Langevin, P. Meijer, R. J. McEliece, R. Lidl   +18 more
core   +1 more source

EVSS‐Based Simulation Techniques for the Viscoelastic Fluids With Pure Polymer Melts Using Three‐Field Approach

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

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

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