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Type: BOOK - Published: 2007-04-08 - Publisher: Springer Science & Business Media

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This set of lectures provides a structured introduction to the concept of equidistribution in number theory. This concept is of growing importance in many areas
Ergodic Theory
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Authors: Manfred Einsiedler
Categories: Mathematics
Type: BOOK - Published: 2010-09-11 - Publisher: Springer Science & Business Media

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This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by
Analytic Number Theory
Language: en
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Authors: Henryk Iwaniec
Categories: Education
Type: BOOK - Published: 2021-10-14 - Publisher: American Mathematical Soc.

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Analytic Number Theory distinguishes itself by the variety of tools it uses to establish results. One of the primary attractions of this theory is its vast dive
Convolution and Equidistribution
Language: en
Pages: 212
Authors: Nicholas M. Katz
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Type: BOOK - Published: 2012-01-24 - Publisher: Princeton University Press

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Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--f
Rational Points on Algebraic Varieties
Language: en
Pages: 455
Authors: Emmanuel Peyre
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Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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This book is devoted to the study of rational and integral points on higher-dimensional algebraic varieties. It contains carefully selected research papers addr