Basic Analytic Number Theory

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This English translation of Karatsuba's Basic Analytic Number Theory follows closely the second Russian edition, published in Moscow in 1983. For the English ed

Tatra Mountains Mathematical Publications

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Trigonometric Sums in Number Theory and Analysis

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The book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sum

Rational Number Theory in the 20th Century

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The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a

Algorithmic Number Theory

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An introduction to number theory for beginning graduate students with articles by the leading experts in the field.