Collected Works II [Paperback]

This is a collection of Harald Cram?r's extensive works on number theory, probability, mathematical statistics and insurance mathematics. Many of these are not easily found nowadays in their original sources, for instance his pioneering works on risk theory published in jubilee volumes of the Skandia Insurance Company in 1930 and 1955. Despite their age, these eminent examples of Cram?r's expository style remain highly readable. Cram?r (Stockholm 1893-1985) was one of the fathers of modern mathematical statistics. His famous book on the subject is still an important reference. His statistical papers included here were seminal to the subsequent development of the subject. The collection includes a complete bibliography of Cram?r's work.

Here is a collection of Harald Cram?r's work on number theory, probability, mathematical statistics and insurance mathematics. Cram?r was one of the fathers of modern mathematical statistics and these papers were seminal to the development of the subject.

Sur une classe de series de Dirichlet.- Etudes sur la somrnation des series de Fourier.- Un theoreme sur les series de Dirichlet et son application.- Uber die Herleitung der Riemannschen Primzahlformel.- Uber die Nullstellen der Zetafunktion.- Studien tiber die Nullstellen der Riemannschen Zetafunktion.- Nombres premiers et equations indeterminees.- Bemerkung zu der vorstehenden Arbeit des Herrn E. Landau.- Some theorems concerning prime numbers.- On the distribution of primes.- Uber die Zetafunktion auf der Mittellinie des kritischen Streifens (with E. Landau).- Uber das Teilerproblem von Piltz.- Sur un probleme de M. Phragmen.- Ein Mittelwertsatz in der Primzahltheorie.- Uber zwei Satze des Herrn G. H. Hardy.- Contributions to the analytic theory of numbers.- Ein Satz tiber Dirichletsche Reihen.- Das Gesetz von Gauss und die Theorie des Risikos.- Die neuere Entwicklung der analytischen Zahlentheorie (with H. Bohr).- Remarks on correlation.- On some classl“ž