The Elliptic Modular Functions Associated With the Elliptic Norm Curve E7 (Classic Reprint) - Softcover

Roscoe Woods

 
9780282982577: The Elliptic Modular Functions Associated With the Elliptic Norm Curve E7 (Classic Reprint)

Synopsis

This book presents the elliptic modular functions associated with E7, an elliptic norm curve in space, and their fundamental role in defining an elliptic parameter where elliptic refers to a quartic curve, octahedral, tetrahedral, or icosahedral form. The author, a notable mathematician of their time, derives well-known elliptic modular functions from the modular group congruent to the identity (mod n), with a focus on the case where n=7. A comprehensive study of the groups and subgroups associated with E7 is presented. The book also delves into the family of rational curves in 83 and S, the net of quadrics in S, and the loci in S. Through geometric and group theoretic approaches, the author establishes algebraic properties of these functions, providing new insights into the mathematical landscape of elliptic modular functions.

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