Complex Multiplication: 15 (New Mathematical Monographs, Series Number 15) - Hardcover
Book 7 of 31: New Mathematical Monographs
Synopsis
A self-contained 2010 account of the state of the art in classical complex multiplication.
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About the Author
Reinhard Schertz was Professor of Mathematics at the University of Augsburg in Germany until his retirement in 2008.
"About this title" may belong to another edition of this title.
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Complex Multiplication (New Mathematical Monographs, Series Number 15)
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Complex Multiplication
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Complex Multiplication (Hardcover)
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Hardcover. Condition: new. Hardcover. This is a self-contained 2010 account of the state of the art in classical complex multiplication that includes recent results on rings of integers and applications to cryptography using elliptic curves. The author is exhaustive in his treatment, giving a thorough development of the theory of elliptic functions, modular functions and quadratic number fields and providing a concise summary of the results from class field theory. The main results are accompanied by numerical examples, equipping any reader with all the tools and formulas they need. Topics covered include: the construction of class fields over quadratic imaginary number fields by singular values of the modular invariant j and Weber's tau-function; explicit construction of rings of integers in ray class fields and Galois module structure; the construction of cryptographically relevant elliptic curves over finite fields; proof of Berwick's congruences using division values of the Weierstrass p-function; relations between elliptic units and class numbers. This self-contained 2010 account of the state of the art in classical complex multiplication provides an exhaustive treatment of the theory of elliptic functions, modular functions and quadratic number fields. The reader will find all the necessary background and tools they will need in this book. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521766685
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Complex Multiplication (New Mathematical Monographs, Series Number 15)
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Complex Multiplication
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Complex Multiplication
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Complex Multiplication (Hardcover)
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Hardcover. Condition: new. Hardcover. This is a self-contained 2010 account of the state of the art in classical complex multiplication that includes recent results on rings of integers and applications to cryptography using elliptic curves. The author is exhaustive in his treatment, giving a thorough development of the theory of elliptic functions, modular functions and quadratic number fields and providing a concise summary of the results from class field theory. The main results are accompanied by numerical examples, equipping any reader with all the tools and formulas they need. Topics covered include: the construction of class fields over quadratic imaginary number fields by singular values of the modular invariant j and Weber's tau-function; explicit construction of rings of integers in ray class fields and Galois module structure; the construction of cryptographically relevant elliptic curves over finite fields; proof of Berwick's congruences using division values of the Weierstrass p-function; relations between elliptic units and class numbers. This self-contained 2010 account of the state of the art in classical complex multiplication provides an exhaustive treatment of the theory of elliptic functions, modular functions and quadratic number fields. The reader will find all the necessary background and tools they will need in this book. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521766685
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Complex Multiplication
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This self-contained 2010 account of the state of the art in classical complex multiplication provides an exhaustive treatment of the theory of elliptic functions, modular functions and quadratic number fields. The reader will find all the necessary backgrou. Seller Inventory # 446946358
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Complex Multiplication
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Complex Multiplication
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