Real analysis, which studies the theoretical foundations of the calculus of real-valued functions, depends upon an accurately defined real number concept. Such a precise definition eluded mathematicians from the time ofPythagoras (c.560-c.480BC) to the...

In mathematics, a Dedekind cut, named after Richard Dedekind, in a totally ordered set S is a partition of it, (A, B), such that A is closed downwards (meaning that for all a in A, x ≤ a implies that x is in A as well) and B is closed upwards, and A...

Abstract: The effect Dedekind's etha function on theta functions is analyzed according to the characteristics of theta functions under modular group conditions. Key words: Theta functions, characteristic values, modular group, dedekind functions INTRODUCTION By [SL.sub.2] we mean the group of...

Abstract: It's a reality that there is a relationship between the sigma function of Weierstrass and theta functions. An elliptic function can be set up using the theta functions just as it can be astablished with the help of sigma function of Weierstrass...