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

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Excerpt from The Elliptic Modular Functions Associated With the Elliptic Norm Curve E7

The cases considered by Dr. Miller are relatively simple due to the fact that the modular group is of genus zero. In this paper the case n 7 for which the genus is three, one which is fairly typical of the general case, is subjected to a similar investigation. Many of the results may be extended easily to the case where n is any prime number, or in some features to the case where n is any odd num ber. In this discussion from the standpoint of geometry and group theory, we derive the well known elliptic modular functions attached to this group as well as some new ones and obtain a number of their algebraic properties.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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Roscoe Woods
Editore: Forgotten Books, 2018
ISBN 10: 0282982574 ISBN 13: 9780282982577
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Roscoe Woods
Editore: Forgotten Books, 2018
ISBN 10: 0282982574 ISBN 13: 9780282982577
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Roscoe Woods
Editore: Forgotten Books, 2018
ISBN 10: 0282982574 ISBN 13: 9780282982577
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Paperback. Condizione: New. Print on Demand. 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. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9780282982577_0

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