| eBook ISBN: | 978-1-61444-016-1 |
| Product Code: | CAR/16.E |
| List Price: | $50.00 |
| MAA Member Price: | $37.50 |
| AMS Member Price: | $37.50 |
| eBook ISBN: | 978-1-61444-016-1 |
| Product Code: | CAR/16.E |
| List Price: | $50.00 |
| MAA Member Price: | $37.50 |
| AMS Member Price: | $37.50 |
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Book DetailsThe Carus Mathematical MonographsVolume: 16; 1972; 102 pp
These notes from Hans Rademacher's 1963 Hedrick Lectures have been gently polished and augmented by Emil Grosswald. While the topic itself is specialized, these sums are linked in diverse ways to many results in number theory, elliptical modular functions, and topology. The first main result is a surprising reciprocity law that is equivalent to the law of quadratic reciprocity.
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Table of Contents
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Chapters
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Chapter 1. Introduction
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Chapter 2. Some proofs of the reciprocity formula
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Chapter 3. Arithmetic properties of the Dedekind sums
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Chapter 4. Dedekind sums and modular transformations
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Chapter 5. Generalizations
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Chapter 6. Some remarks on the history of the Dedekind sums
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Additional Material
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Reviews
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The book is very readable and should be useful both to the newcomer and to those already familiar with the sums.
L. Carlitz, Mathematical Reviews
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
These notes from Hans Rademacher's 1963 Hedrick Lectures have been gently polished and augmented by Emil Grosswald. While the topic itself is specialized, these sums are linked in diverse ways to many results in number theory, elliptical modular functions, and topology. The first main result is a surprising reciprocity law that is equivalent to the law of quadratic reciprocity.
-
Chapters
-
Chapter 1. Introduction
-
Chapter 2. Some proofs of the reciprocity formula
-
Chapter 3. Arithmetic properties of the Dedekind sums
-
Chapter 4. Dedekind sums and modular transformations
-
Chapter 5. Generalizations
-
Chapter 6. Some remarks on the history of the Dedekind sums
-
The book is very readable and should be useful both to the newcomer and to those already familiar with the sums.
L. Carlitz, Mathematical Reviews
