Leonardo Alese
Leonardo Alese
Given a pair of real functions (k, f), we study the conditions they must satisfy for k + λ f to be the curvature in the arc-length of a closed planar curve for all real λ . Several equivalent conditions are pointed out, certain p...
A New Family of q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial [0.03%]
q-超同余式族模 cyclotomic 多项式的四次幂
Victor J W Guo,Michael J Schlosser
Victor J W Guo
We establish a new family of q-supercongruences modulo the fourth power of a cyclotomic polynomial, and give several related results. Our main ingredients are q-microscoping and the Chinese remainder theorem for polynomials. ...
On the Evolution of Regularized Dirac-Harmonic Maps from Closed Surfaces [0.03%]
关于闭曲面上正则化Dirac调和映射的演化
Volker Branding
Volker Branding
We study the evolution equations for a regularized version of Dirac-harmonic maps from closed Riemannian surfaces. We establish the existence of a global weak solution for the regularized problem, which is smooth away from finitely many sin...
On the Parity Under Metapletic Operators and an Extension of a Result of Lyubarskii and Nes [0.03%]
关于拟酉算子的交换性以及Lyubarskii和Nes的结果的一个推广
Markus Faulhuber
Markus Faulhuber
In this work we show that if the frame property of a Gabor frame with window in Feichtinger's algebra and a fixed lattice only depends on the parity of the window, then the lattice can be replaced by any other lattice of the same density wi...
Some New q-Congruences for Truncated Basic Hypergeometric Series: Even Powers [0.03%]
关于截断的基本超几何级数的某些新的q同余式：偶数幂
Victor J W Guo,Michael J Schlosser
Victor J W Guo
We provide several new q-congruences for truncated basic hypergeometric series with the base being an even power of q. Our results mainly concern congruences modulo the square or the cube of a cyclotomic polynomial and complement correspond...