Relationships Between Hyperelliptic Functions of Genus 2 and Elliptic Functions

On Hyperelliptic Abelian Functions of Genus

The affine ring A of the affine Jacobian variety J(X)\Θ of a hyperelliptic curve of genus 3 is studied as a D module. A conjecture on the minimal D-free resolution previously proposed is proved in this case. As a by-product a linear basis of A is explicitly constructed in terms of derivatives of Klein’s hyperelliptic ℘-functions. ∗e-mail: [email protected]

REALITY CONDITIONS OF LOOP SOLITONS GENUS g: HYPERELLIPTIC AM FUNCTIONS

This article is devoted to an investigation of a reality condition of a hyperelliptic loop soliton of higher genus. In the investigation, we have a natural extension of Jacobi am-function for an elliptic curves to that for a hyperelliptic curve. We also compute winding numbers of loop solitons.

Determinant Expression for Hyperelliptic Functions in Genus Three

X iv :m at h/ 01 05 18 7v 1 [ m at h. N T ] 2 3 M ay 2 00 1 DETERMINANT EXPRESSION FOR HYPERELLIPTIC FUNCTIONS IN GENUS THREE YOSHIHIRO ÔNISHI Faculty of Humanities and Social Sciences, Iwate University, Morioka, 020-8550, Japan e-mail:[email protected] Abstract. In this paper we generalize the formula of Frobenius-Stickelberger (see (0.1) below) and the formula of Kiepert (see (0.2) below) ...

Determinant Expressions for Hyperelliptic Functions in Genus Three

a contrastive study of rhetorical functions of citation in iranian and international elt scopus journals

writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...