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Wolfgang Schwarz
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دانلود کتاب Arithmetical functions: an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties
by Wolfgang Schwarz|
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عنوان فارسی: توابع ریاضی: مقدمه ای بر خواص ابتدایی و تحلیلی و توابع ریاضی و به برخی از خواص تقریبا دوره ای خود را |
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جزییات کتاب
The theme of this book is the characterization of certain multiplicative and additive arithmetical functions by combining methods from number theory with some simple ideas from functional and harmonic analysis. The authors achieve this goal by considering convolutions of arithmetical functions, elementary mean-value theorems, and properties of related multiplicative functions. They also prove the mean-value theorems of Wirsing and Hal?sz and study the pointwise convergence of the Ramanujan expansion. Finally, some applications to power series with multiplicative coefficients are included, along with exercises and an extensive bibliography.
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