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Elliptic Curves, Modular Forms and Cryptography : Proceedings of the Advanced Instructional Workshop on Algebraic Number Theory by Ashwani K. Bhandari, D. S. Nagaraj, B. Ramakrishnan, T. N. Venkataramana (eds.) is a mathematics available to read on EtoBox.
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Front Matter ....Pages i-viii Front Matter ....Pages 1-1 An overview (D. S. Nagaraj)....Pages 3-4 A Quick Introduction to Algebraic Geometry and Elliptic Curves (D. S. Nagaraj, B. Sury)....Pages 5-31 Elliptic Curves over Finite Fields (B. Sury)....Pages 33-47 The Nagell-Lutz Theorem (Rajat Tandon)....Pages 49-61 Weak Mordell-Weil theorem (C. S. Rajan)....Pages 63-72 The Mordell-Weil Theorem (D. S. Nagaraj, B. Sury)....Pages 73-84 Complex Multiplication (Eknath Ghate)....Pages 85-108 The Main Theorem of Complex Multiplication (Dipendra Prasad)....Pages 109-118 Approximations of Algebraic Numbers by Rationals: A Theorem of Thue (T. N. Shorey)....Pages 119-137 Siegel’s Theorem: Finiteness of Integral Points (S. D. Adhikari, D. S. Ramana)....Pages 139-149 p-adic Theta Functions and Tate Curves (Alexander F. Brown)....Pages 151-165 l-adic Representation Attached to an Elliptic Curve over a Number Field (D. S. Nagaraj)....Pages 167-191 Arithmetic on Curves (Chandan Singh Dalawat)....Pages 193-200 Front Matter ....Pages 201-201 Introduction (B. Ramakrishnan)....Pages 203-204 Elliptic Functions (Parvati Shastri)....Pages 205-221 An Introduction to Modular Forms and Hecke Ope
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- Author
- Ashwani K. Bhandari, D. S. Nagaraj, B. Ramakrishnan, T. N. Venkataramana (eds.)
- Publisher
- Hindustan Book Agency India
- Published
- 2003
- Language
- EN
- ISBN
- 9789386279156
- Category
- mathematics
- Subjects
- Mathematics, Stem
- Updated
- 2026-03-25
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