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13 Mar 2018 [PDF Download] The Music of the Spheres: Music, Science, and the Natural Order of the Universe All Ebook Downloads - By Jamie James. created by fcgdrf szdrs. [PDF Download] Advanced Topics in the Arithmetic of Elliptic Curves (Lecture Notes in Statistics) Popular Book - By Joseph H. Silverman.
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In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten.
Advanced Topics in the Arithmetic of Elliptic CurvesAuthor: Joseph H. Silverman Published by Springer New York ISBN: 978-0-387-94328-2 DOI:
5 Jan 2017 mented by his later advanced survey article [9]. additional topics. I decided that my added topic would be elliptic curves taught from the Haverford notes, and rather than simply photocopying my own barely . [4] Joseph H. Silverman, Advanced topics in the arithmetic of elliptic curves, Graduate Texts in.
Table of contents (7 chapters). Front Matter. Pages i-xiii. Download PDF (750KB). Chapter. Pages 1-4. Introduction · Joseph H. Silverman · Download PDF (595KB). Chapter. Pages 5-94. Elliptic and Modular Functions · Joseph H. Silverman · Download PDF (6217KB). Chapter. Pages 95-186. Complex Multiplication.
Preface vii. Computer Packages viii. Acknowledgments viii. Introduction. 1. CHAPTER I. Elliptic and Modular Functions. 5. §1. The Modular Group. 6. §2. The Modular Curve X(l). 14. §3. Modular Functions. 23. §4. Uniformization and Fields of Moduli. 34. §5. Elliptic Functions Revisited. 38. §6. (/-Expansions of Elliptic
This book continues the treatment of the arithmetic theory of elliptic curves begun in the first volume. The book begins with the theory of elliptic and modular functions for the full modular group ?(1), including a discussion of Hecke operators and the L-series associated to cusp forms. This is followed by a detailed study of
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of chapters V and VI, skipping IX and, if pressed for time, X. Other important topics in the arithmetic of elliptic curves, which do not appear in this volume due to time and space limitations, are briefly discussed in Appendix C. It is certainly true that some of the deepest results in the subject, such as Mazur's theorem bounding
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