Trigonometric sums in number theory and analysis. Transl. from the Russian (Q1889742)

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scientific article; zbMATH DE number 2121513
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Trigonometric sums in number theory and analysis. Transl. from the Russian
scientific article; zbMATH DE number 2121513

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    Trigonometric sums in number theory and analysis. Transl. from the Russian (English)
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    8 December 2004
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    The first nine chapters of this book constitute a translation of the Russian original [Theory of multiple trigonometric sums (1987; Zbl 0638.10037)]. In the present English edition, three chapters have been added: 10. Estimates of multiple trigonometric sums with prime numbers, 11. Some applications of trigonometric sums and integrals, 12. Short Kloosterman sums. These contain expositions of more recent research and results.
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    analytic number theory
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    multiple trigonometric sums
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    additive problems of number theory
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    Waring's problem
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    the Hilbert-Kamke problem
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    Artin's problem
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    Hua's problem
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    distribution of values of arithmetical functions
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