Results 161 to 170 of about 804 (189)
Some of the next articles are maybe not open access.
1984
Kovalevskaya’s work on Abelian integrals which reduce to elliptic integrals (1884) is the hardest of her papers to explain to a general audience since it assumes a detailed knowledge of the nineteenth-century work in this area. The subject of Abelian integrals in the nineteenth century was a vast corpus of results, many of which are not generally ...
openaire +1 more source
Kovalevskaya’s work on Abelian integrals which reduce to elliptic integrals (1884) is the hardest of her papers to explain to a general audience since it assumes a detailed knowledge of the nineteenth-century work in this area. The subject of Abelian integrals in the nineteenth century was a vast corpus of results, many of which are not generally ...
openaire +1 more source
Elliptic and Abelian Integrals
2017With the innovations of calculus, it was discovered that standard trigonometric functions could be formulated as integrals of algebraic function of degree two. Euler and others generalized these to elliptic integrals, integrals of algebraic functions of degree three and four, and Abel generalized these, in turn, to integrals of algebraic functions of ...
openaire +1 more source
Abelian Integrals Attached to Algebraic Varieties
The Mathematical Gazette, 1933The purpose of this article is to describe briefly some investigations of the properties of certain integrals associated with the Riemannian manifold of an algebraic variety, which, besides having an interest of their own, appear to be a fruitful source of new properties of the more classical Abelian integrals usually considered in connection with ...
openaire +1 more source
Algebraic independence of the periods of abelian integrals
Mathematical Notes, 1996The author considers an irreducible algebraic curve of genus \(g\leq 1\) over the field of algebraic numbers \(\mathbb{A}\). On the Riemann surface of the curve there exist \(2g\) Abelian differentials of the second kind \(\phi_1,\dots, \phi_{2g}\) over \(\mathbb{A}\) and \(2g\) cycles \(\gamma_1,\dots, \gamma_{2g}\) such that the matrix \(\Omega ...
openaire +1 more source
Cauchy elliptic and Abelian integrals
Revue d'histoire des sciences, 1992RÉSUMÉ. — Cet article étudie comment la théorie des fonctions elliptiques et celle de la variable complexe se rapprochèrent de plus en plus dans les années 1830 et 1840. Alors que la conscience de l'importance de la création d'Abel et de Jacobi grandissait, on en vint à penser qu'il n'était pas satisfaisant de fonder la théorie des fonctions ...
openaire +3 more sources
Integral points on punctured abelian varieties
European Journal of Mathematics, 2022Samir Siksek
exaly
Periodic Wave Solution of the Generalized Burgers–Fisher Equation via Abelian Integral
Qualitative Theory of Dynamical Systems, 2022Yonghui Xia
exaly
Toward the Inversion of Abelian Integrals, II
American Journal of Mathematics, 1979openaire +2 more sources
Finiteness criteria and uniformity of integral sections in some families of abelian varieties
Geometriae Dedicata, 2023Xuan Kien Phung
exaly
Integral and quasi-abelian hearts of twin cotorsion pairs on extriangulated categories
Communications in Algebra, 2020Souheila Hassoun, Amit Shāh
exaly