WorldCat Identities

Roquette, Peter 1927-

Overview
Works: 52 works in 154 publications in 3 languages and 1,948 library holdings
Genres: History  Records and correspondence  Sources 
Roles: Editor, Creator, Adapter
Classifications: QA247, 512.74
Publication Timeline
Key
Publications about  Peter Roquette Publications about Peter Roquette
Publications by  Peter Roquette Publications by Peter Roquette
Most widely held works by Peter Roquette
The Brauer-Hasse-Noether theorem in historical perspective by Peter Roquette ( )
18 editions published between 2004 and 2005 in English and held by 730 WorldCat member libraries worldwide
"The unpublished writings of Helmut Hasse, consisting of letters, manuscripts and other papers, are kept at the Handschriftenabteilung of the University Library at Gottingen. Hasse had an extensive correspondence; he liked to exchange mathematical ideas, results and methods freely with his colleagues. There are more than 8000 documents preserved. Although not all of them are of equal mathematical interest, searching through this treasure can help us to assess the development of Number Theory through the 1920s and 1930s." "The present volume is largely based on the letters and other documents its author has found concerning the Brauer-Hasse-Noether Theorem in the theory of algebras; this covers the years around 1931. In addition to the documents from the literary estates of Hasse and Brauer in Gottingen, the author also makes use of some letters from Emmy Noether to Richard Brauer that are preserved at the Bryn Mawr College Library (Pennsylvania, USA)."--Jacket
Formally p-adic fields by A Prestel ( Book )
11 editions published in 1984 in English and German and held by 441 WorldCat member libraries worldwide
Analytic theory of elliptic functions over local fields by Peter Roquette ( Book )
10 editions published in 1970 in English and German and held by 200 WorldCat member libraries worldwide
Algebraische Zahlentheorie; Bericht einer Tagung des Mathematischen Forschungsinstituts Oberwolfach 6.-12. September 1964 ( Book )
3 editions published in 1966 in German and held by 101 WorldCat member libraries worldwide
Collected papers of Peter Roquette by Peter Roquette ( Book )
5 editions published in 2002 in English and Multiple languages and held by 100 WorldCat member libraries worldwide
Analysis und Zahlentheorie : Vorlesung Hamburg 1920 by Erich Hecke ( Book )
5 editions published in 1987 in German and held by 95 WorldCat member libraries worldwide
Contributions to the history of number theory in the 20th century by Peter Roquette ( Book )
8 editions published in 2013 in English and held by 37 WorldCat member libraries worldwide
Helmut Hasse und Emmy Noether : die Korrespondenz 1925-1935 by Helmut Hasse ( Book )
7 editions published in 2006 in German and English and held by 36 WorldCat member libraries worldwide
This book reproduces the complete extant correspondence between Emmy Noether and Helmut Hasse. There are 82 such letters, of which 79 are from Noether to Hasse, dating from 1925 until Noethers sudden death in 1935. The correspondence refl ects a crucial period in the development of 20th century algebra and number theory, in particular class fi eld theory. Details of proofs appear alongside with conjectures and speculations. Also discussed are questions of textbook presentation, e.g., of Galois theory. Aside from mathematical details, the spontaneity of Noethers style allows many glimpses at the image that Emmy Noether and Helmut Hasse had of the topics they were working in. The Hasse Noether correspondence is a rich source for those who are interested in the rise and the development of mathematical notions and ideas. Each letter is accompanied by a detailed commentary supplied by the editors. For the convenience of the reader, numerous cross-references, extended indexes, and short biographies of all persons mentioned in the correspondence have been added
Emil Artin und Helmut Hasse : die Korrespondenz 1923 - 1934 by Emil Artin ( Book )
7 editions published in 2008 in German and held by 24 WorldCat member libraries worldwide
This book contains the full text of the letters from Emil Artin to Helmut Hasse, as they are preserved in the Handschriftenabteilung of the Göttingen University Library. There are 49 such letters, written in the years 1923-1934, discussing mathematical problems of the time. The corresponding letters in the other direction, i.e., from Hasse to Artin, seem to be lost. We have supplemented Artin's letters by detailed comments, combined with a description of the mathematical environment of Hasse and Artin, and of the relevant literature. In this way it has become possible to sufficiently reconstruct the content of the corresponding letters from Hasse to Artin too. Artin and Hasse were among those who shaped modern algebraic number theory, in particular class field theory. Their correspondence admits a view of the ideas which led to the great achievements of their time, starting from Artin's L-series and his reciprocity law towards Hasse‘s norm symbol, local class field theory and the Local-Global Principle. These letters are a valuable source for understanding the rise and development of mathematical ideas and notions as we see them today. The book is a follow-up of our earlier book on the correspondence between Hasse and Emmy Noether. It is thus the second of a series which aims to open access to the rich collection of Hasse's mathematical letters and notes contained in the Göttingen Handschriftenabteilung
Helmut Hasse und Emmy Noether die Korrespondenz 1925 - 1935 ( )
1 edition published in 2006 in German and held by 23 WorldCat member libraries worldwide
Lectures on formally p-adic fields by A Prestel ( Book )
4 editions published in 1983 in English and held by 18 WorldCat member libraries worldwide
Formally p-acid fields by A Prestel ( Book )
2 editions published in 1984 in Undetermined and English and held by 16 WorldCat member libraries worldwide
Mathematische Abhandlungen by Helmut Hasse ( Book )
3 editions published in 1975 in German and held by 13 WorldCat member libraries worldwide
Mathematische Abhandlungen by Helmut Hasse ( Book )
3 editions published in 1975 in German and held by 13 WorldCat member libraries worldwide
Mathematische Abhandlungen by Helmut Hasse ( Book )
3 editions published in 1975 in German and held by 13 WorldCat member libraries worldwide
Helmut Hasse Mathematische Abhandlungen by Helmut Hasse ( Book )
2 editions published in 1975 in German and held by 8 WorldCat member libraries worldwide
Mathematische Abhandlungen by Helmut Hasse ( Book )
5 editions published in 1975 in German and Undetermined and held by 7 WorldCat member libraries worldwide
Arithmetischer Beweis der Riemannschen Vermutung in Kongruenzfunktionenkörpern beliebigen Geschlechts by Peter Roquette ( Book )
2 editions published in 1953 in German and held by 6 WorldCat member libraries worldwide
Collected papers of Peter Roquette by Peter Roquette ( Book )
4 editions published in 2002 in German and English and held by 6 WorldCat member libraries worldwide
Emil Artin und Helmut Hasse by Helmut Hasse ( )
3 editions published in 2008 in German and English and held by 6 WorldCat member libraries worldwide
This book contains the full text of the letters from Emil Artin to Helmut Hasse, as they are preserved in the Handschriftenabteilung of the Göttingen University Library. There are 49 such letters, written in the years 1923-1934, discussing mathematical problems of the time. The corresponding letters in the other direction, i.e., from Hasse to Artin, seem to be lost. We have supplemented Artin's letters by detailed comments, combined with a description of the mathematical environment of Hasse and Artin, and of the relevant literature. In this way it has become possible to sufficiently reconstruct the content of the corresponding letters from Hasse to Artin too. Artin and Hasse were among those who shaped modern algebraic number theory, in particular class field theory. Their correspondence admits a view of the ideas which led to the great achievements of their time, starting from Artin's L-series and his reciprocity law towards Hasses norm symbol, local class field theory and the Local-Global Principle. These letters are a valuable source for understanding the rise and development of mathematical ideas and notions as we see them today. The book is a follow-up of our earlier book on the correspondence between Hasse and Emmy Noether. It is thus the second of a series which aims to open access to the rich collection of Hasse's mathematical letters and notes contained in the Göttingen Handschriftenabteilung
 
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Alternative Names
Roquette, P. 1927-
Roquette, Peter Jacques.
Roquette, Peter Jacques 1927-
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