Collected Works I [Paperback]

This is a collection of Harald Cramer's extensive work on number theory, probability, mathematical statistics and insurance mathematics. Many of these are not easily found in their original sources nowadays, for instance his pioneering work on risk theory published in the Skandia Insurance Company's jubilee volumes in 1930 and 1955. Despite their age, these eminent examples of Cramer's expository style remain highly readable. Cramer 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 Cramer's work.

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 classes of series used in mathematical statistics.- Sur quelques points du ca1cul des probabilites.- Some notes on recent mortality investigations.- On an asymptotic expansion occurring in the theory of probability.- On the composition of elementary errors.- On the mathematical theory of risk.- The risklS0