The General Theory of Dirichlet's Series
| Author | : | |
| Rating | : | 4.12 (743 Votes) |
| Asin | : | 1532868758 |
| Format Type | : | paperback |
| Number of Pages | : | 88 Pages |
| Publish Date | : | 2015-02-26 |
| Language | : | English |
DESCRIPTION:
The task of condensing any account of so extensive a theory into the compass of one of these tracts has proved an exceedingly difficult one. Many important theorems are stated without proof, and many details are left to the reader. Introduction II. I believe, however, that our account is full enough to serve as a guide to other mathematicians researching in this and allied subjects. H. From the PREFACE. The Formula for the Sum of the Coefficients of a Dirichlet's Series: The Order of the Function Represented by the Series IV. Abelian and Tauberian Theorems VII. General Arithmetic Theorems Concerning Typical Means VI. The Multiplication of Dirichlet's Series Bibliography. Elementary Theory of the Convergence of Dirichlet's Series III. Such readers will be familiar with Landau's Handbuch der Lehre con der Verteilung der Primzahlen, and will hardly need to be told how much we, in common with all other investigators in this field, owe to the writings and to the personal encouragement of its author. This has at any rate, one advantage, that it gives me the opportunity of saying how conscious I am that whatever value it possesses is due mainly to his contributions to it, and in particular to the fact, that it contains the first systematic, account of his beautiful theory of the summation of series by 'typical means'. THE publication of this tract has been de
Don't buy any book from Nabu Press DT This print is a terrible copy from a old library book that tons of subscript are not recognizable. I got two books from Nabu Press they both have the same problems (the other is even worse.) Don't buy any book from it.. "The general theory of Dirichlet's series" according to V. Rio. This is a short (68 pages),intense and excelent book where are studied the Dirichlet's series ( the results are former to 1915). The author is an eminent mathematician, a great number theorist, G. H. Hardy.Rafael Jakimczuk