Multiplicative Number Theory I by Hugh L Montgomery
Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. In particular their finer distribution is closely connected with the Riemann hypothesis, the most important unsolved problem in the mathematical world. Assuming only subjects covered in a standard degree in mathematics, the authors comprehensively cover all the topics met in first courses on multiplicative number theory and the distribution of prime numbers. They bring their extensive and distinguished research expertise to bear in preparing the student for intelligent reading of the more advanced research literature. This 2006 text, which is based on courses taught successfully over many years at Michigan, Imperial College and Pennsylvania State, is enriched by comprehensive historical notes and references as well as over 500 exercises.-
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Complex Topological K-Theory
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Mathematical Aspects of Quantum Field Theory
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An Introduction to Nonlinear Analysis
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Enumerative Combinatorics: Volume 1
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Introduction to Homotopy Type Theory
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Hodge Theory and Complex Algebraic Geometry I: Volume 1
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Basic Category Theory
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Enumerative Combinatorics: Volume 2
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Algebraic Number Theory
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Spectral Theory and Differential Operators
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An Introduction to the Theory of the Riemann Zeta-Function
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Hardy Spaces
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Gaussian Processes on Trees
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Multidimensional Real Analysis I
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Uniform Central Limit Theorems
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Representations of the Infinite Symmetric Group
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Local Cohomology
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Analysis in Integer and Fractional Dimensions
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Extremal Graph and Hypergraph Theory
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The Bellman Function Technique in Harmonic Analysis
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Explicit Brauer Induction
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Random Walk: A Modern Introduction
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Clifford Algebras and the Classical Groups
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Wavelets
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The Logarithmic Integral: Volume 2
'The text is very well written and accessible to studentsOn many occasions the authors explicitly describe basic methods known to everyone working in the field, but too often skipped in textbooks. This book may well become the standard introduction to analytic number theory.' Zentralblatt MATH
| SKU | Unavailable |
| ISBN 13 | 9781107405820 |
| ISBN 10 | 1107405823 |
| Title | Multiplicative Number Theory I |
| Author | Hugh L Montgomery |
| Series | Cambridge Studies In Advanced Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 2012-07-26 |
| Number of pages | 572 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |