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Ohne ZusammenfassungHerrnOskar Perron zum 85. Geburtstag am 7. Mai 1965 gewidmet  相似文献   

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Every temperature function with an isolated singularity can be represented as a sum of a temperature function without singularity and an infinite sum of derivatives of a Green function. This generalizes the result of WIDDER on the characterization of positive temperature functions.  相似文献   

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We generalize a result ofHlawka about sums of the form $$\sum\limits_{n = 1}^N {(f(x_n + 1/N) - f(n)} ),$$ where (x n ) n ∈? is a uniformly distributed sequence mod 1.  相似文献   

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Letf: NC be a multiplicative, periodic, arithmetical function with period >0. In the case of irrational it is shown: Iff is the restriction of a continuous functionF: R+C, thenf(N)={1} orf(N)={0}. (Much weaker conditions supply the same result). If is integral, thenf is completely characterized. In particular, the connection with Dirichlet characters is discribed. The argument is elementary in the second case. For the first case exponential sums with primes and Weyl's criterion for uniform distribution are used.  相似文献   

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Ohne Zusammenfassung Herrn Professor A. Pfluger zum 70. Geburtstag  相似文献   

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Ohne Zusammenfassung Meinem verehrten Lehrer A. Pflugen zum 65. Geburtstag, gewidmet  相似文献   

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