Author:
Hardy G. H.,Littlewood J. E.
Abstract
1. This note originates from a question put to us by Mr W. R. Dean concerning series of the typewhere θ is irrational. Series of the typeare familiar: it is well known, for example, thatmay have any radius of convergence from 0 to 1 inclusive, according to the arithmetic nature of θ. It is natural to ask how this radius is connected with that ofand, more generally, how those of (1·1) and (1·2) are connected.
Publisher
Cambridge University Press (CUP)
Reference4 articles.
1. �ber die Gleichverteilung von Zahlen mod. Eins
2. Hardy and Wright , Introduction to the theory of numbers, 378–81.
3. Proc. Cambridge Phil. Soc. 42 (1946), 24.
4. Harkness and Morley , Introduction to the theory of analytic functions, 134–6.
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