Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations
N. Tzanakis (1996)
Acta Arithmetica
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Displaying similar documents to “Chern-Dold character in elliptic cohomology.”
Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations
On a Class of Generalized Elliptic-type Integrals
Garg, Mridula, Katta, Vimal, Kalla, S. (2001)
Serdica Mathematical Journal
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The aim of this paper is to study a generalized form of elliptic-type integrals which unify and extend various families of elliptic-type integrals studied recently by several authors. In a recent communication [1] we have obtained recurrence relations and asymptotic formula for this generalized elliptic-type integral. Here we shall obtain some more results which are single and multiple integral formulae, differentiation formula, fractional integral and approximations for this class...
Fully nonlinear second order elliptic equations with large zeroth order coefficient
L. C. Evans, Pierre-Louis Lions (1981)
Annales de l'institut Fourier
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We prove the existence of classical solutions to certain fully non-linear second order elliptic equations with large zeroth order coefficient. The principal tool is an estimate asserting that the -norm of the solution cannot lie in a certain interval of the positive real axis.
Note on an index formula of elliptic units in a ring class field II
Heima Hayashi (1988)
Acta Arithmetica
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Integral Points on Certain Elliptic Curves
Hui Lin Zhu, Jian Hua Chen (2008)
Rendiconti del Seminario Matematico della Università di Padova
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Fundamental solution, eigenvalue asymptotics and eigenfunctions of degenerate elliptic operators with positive potentials
Kazuhiro Kurata, Satoko Sugano (2000)
Studia Mathematica
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We show a weighted version of Fefferman-Phong's inequality and apply it to give an estimate of fundamental solutions, eigenvalue asymptotics and exponential decay of eigenfunctions for certain degenerate elliptic operators of second order with positive potentials.
On the extinction of the solution for an elliptic equation in a cylindrical domain
Theodore K. Boni (1999)
Annales mathématiques Blaise Pascal
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Elliptic cohomologies: an introductory survey.
Guillermo Moreno (1992)
Publicacions Matemàtiques
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Let α and β be any angles then the known formula sin (α+β) = sinα cosβ + cosα sinβ becomes under the substitution x = sinα, y = sinβ, sin (α + β) = x √(1 - y2) + y √(1 - x2) =: F(x,y). This addition formula is an example of "Formal group law", which show up in many contexts in Modern Mathematics. In algebraic topology suitable cohomology theories induce a Formal group Law, the elliptic cohomologies are the ones who realize the Euler...
On equations defining fake elliptic curves
Pilar Bayer, Jordi Guàrdia (2005)
Journal de Théorie des Nombres de Bordeaux
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Shimura curves associated to rational nonsplit quaternion algebras are coarse moduli spaces for principally polarized abelian surfaces endowed with quaternionic multiplication. These objects are also known as . We present a method for computing equations for genus 2 curves whose Jacobian is a fake elliptic curve with complex multiplication. The method is based on the explicit knowledge of the normalized period matrices and on the use of theta functions with characteristics. As in the...