Functional independence of theta constants

Theta Constants Associated to Cubic Three Folds

Every elliptic curve is isomorphic to the double covering of the projective line P branching at four points. The set of the isomorphism classes of elliptic curves with marking of branching points can be identified with the configuration space M4pts of ordered four points on P. By considering their periods, one obtains a morphism per from M4pts to the set Mct of the isomorphism classes of comple...

Independence Number and Disjoint Theta Graphs

The goal of this paper is to find vertex disjoint even cycles in graphs. For this purpose, define a θ-graph to be a pair of vertices u, v with three internally disjoint paths joining u to v. Given an independence number α and a fixed integer k, the results contained in this paper provide sharp bounds on the order f(k, α) of a graph with independence number α(G) ≤ α which contains no k disjoint ...

Factors associated with the functional independence level in older adults

Introduction: Functional independence in old age refers to active presence in daily life. One of the best ways to evaluate the functional independence of elderly is assessing the level of activities. This study aims to determine the status of functional independence in performing instrumental and daily activities as well as its related factors. Methods: This cross-sectional study was cond...

Functional independence measure.

Functional Equation for Theta Series

In this short paper, we find the transformation formula for the theta series under the action of the Jacobi modular group on the Siegel-Jacobi space. This formula generalizes the formula (5.1) obtained by Mumford in [3, p. 189].