Titlebook: Probabilistic Number Theory I; Mean-Value Theorems P. D. T. A. Elliott Book 1979 Springer-Verlag New York Inc. 1979 Prime.Prime number.Riem

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978-1-4612-9991-2Springer-Verlag New York Inc. 1979

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Probabilistic Number Theory I978-1-4612-9989-9Series ISSN 0072-7830 Series E-ISSN 2196-9701

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Multiplicative Functions with First and Second Means,for which |.| < 1, (. = 1, 2,…). Then there is a non-zero mean-value . if and only if the series . taken over all the primes . is convergent, . for at least one positive integer ., .(2.)≠ ? 1. It is important that the limit . is assumed non-zero.

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https://doi.org/10.1007/978-1-4612-9989-9Prime; Prime number; Riemann zeta function; Wahrscheinlichkeitstheoretische Zahlentheorie; calculus; numb

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P. D. T. A. Elliott fixed but otherwise arbitrary compact Riemann surface of genus g. A positive integer r is called a puncture number for Mg if Mg can be conformally immersed into R3 as a complete finite total curvature minimal surface with exactly r punctures; the set of all puncture numbers for Mg is denoted by P (M ). For e978-90-481-4443-3978-94-017-1104-3

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P. D. T. A. Elliott finite total curvature. Our exposition is based upon the philosophy that the study of finite total curvature complete minimal surfaces in R3, in large measure, coincides with the study of meromorphic functions and linear series on compact Riemann sur- faces. This philosophy is first indicated in th

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P. D. T. A. Elliott finite total curvature. Our exposition is based upon the philosophy that the study of finite total curvature complete minimal surfaces in R3, in large measure, coincides with the study of meromorphic functions and linear series on compact Riemann sur- faces. This philosophy is first indicated in th