Zobrazeno 1 - 10
of 595
pro vyhledávání: '"Half-period ratio"'
Autor:
Antanas Laurinčikas, R. Macaitiene
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 296:70-77
Autor:
Frank Arthur, Xiaodong Yan
Publikováno v:
Communications on Pure and Applied Analysis. 15:807-830
We prove there are no positive solutions with slow decay rates to higher order elliptic system \begin{eqnarray} \left\{ \begin{array}{c} \left( -\Delta \right) ^{m}u=\left\vert x\right\vert ^{a}v^{p} \\ \left( -\Delta \right) ^{m}v=\left\vert x\right
Autor:
Dustin Hinkel, Matthew P. Young
Publikováno v:
Journal of Number Theory. 156:15-20
We present some numerical results on the distribution of nonzero central values of elliptic curve L -functions. We compare the family of elliptic curves E a , b : y 2 = x 3 + a x + b with ( a , b ) ranging over a large box, and Cremona's list of all
Autor:
Michael Pruitt
Publikováno v:
ESAIM: Mathematical Modelling and Numerical Analysis. 49:1451-1461
We prove regularity results for divergence form periodic second order elliptic difference operators on the space of functions of mean value zero, valid in maximum norm. The estimates obtained are discrete analogues of the regularity results for conti
Autor:
Nao Takeshi
Publikováno v:
International Journal of Number Theory. 11:1149-1164
We give a criterion for cubic fields over which there exist no elliptic curves with good reduction everywhere, and we construct a certain infinite family of cubic fields over which there exist elliptic curves with good reduction everywhere.
In this paper we establish well posedness of the Neumann problem with boundary data in $L^2$ or the Sobolev space $\dot W^2_{-1}$, in the half space, for linear elliptic differential operators with coefficients that are constant in the vertical direc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42150cf9be18891c3ef27f85d028384b
http://arxiv.org/abs/1703.06962
http://arxiv.org/abs/1703.06962
Autor:
Nao Takeshi
Publikováno v:
Funct. Approx. Comment. Math. 56, no. 1 (2017), 61-65
We show that for Dirichlet characters $\chi_1,\ldots ,\chi_s$ mod $p^m$ the sum $$ \mathop{\sum_{x_1=1}^{p^m} \dots \sum_{x_s=1}^{p^m}}_{ A_1x_1^{k_1}+\dots+ A_sx_s^{k_s}\equiv B \text{ mod } p^m}\chi_1(x_1)\cdots \chi_s(x_s), $$ has a simple evaluat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a36f510eb656aad9e50a54cc8aaf36f5
http://projecteuclid.org/euclid.facm/1485486018
http://projecteuclid.org/euclid.facm/1485486018
Autor:
Tülay Özden, Ülkü Dinlemez Kantar
Publikováno v:
Journal of Inequalities and Applications
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-7 (2017)
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-7 (2017)
The aim of this study is to prove Lyapunov-type inequalities for a quasilinear elliptic equation in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mat
Autor:
Rongquan Feng, Hongfeng Wu
Publikováno v:
Journal of Numbers. 2014:1-5
It is proved in this paper that, for any point on an elliptic curve, the mean value of x-coordinates of its n-division points is the same as its x-coordinate and that of y-coordinates of its n-division points is n times that of its y-coordinate.
Autor:
Hsiu-Lien Huang
Publikováno v:
Journal of Number Theory. 135:374-389
Given an elliptic curve E defined over a number field K, an integer m and let E [ m ] ( F ℘ ) be the set of m-torsion points of E that are rational over F ℘ where F ℘ denotes the residue field at ℘. Our main goal is to compute the asymptotic