Roquette, Peter 1927
Overview
Works:  55 works in 167 publications in 4 languages and 2,090 library holdings 

Genres:  History Records and correspondence Sources 
Roles:  Author, Editor, Creator, Adapter 
Classifications:  QA247, 512.74 
Publication Timeline
.
Most widely held works by
Peter Roquette
The BrauerHasseNoether theorem in historical perspective
by
Peter Roquette(
)
18 editions published between 2004 and 2005 in English and held by 746 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"The unpublished writings of Helmut Hasse, consisting of letters, manuscripts and other papers, are kept at the Handschriftenabteilung of the University Library at Gottingen.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 BrauerHasseNoether 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
18 editions published between 2004 and 2005 in English and held by 746 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"The unpublished writings of Helmut Hasse, consisting of letters, manuscripts and other papers, are kept at the Handschriftenabteilung of the University Library at Gottingen.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 BrauerHasseNoether 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 padic fields
by
A Prestel(
Book
)
10 editions published in 1984 in English and German and held by 459 WorldCat member libraries worldwide
10 editions published in 1984 in English and German and held by 459 WorldCat member libraries worldwide
Analytic theory of elliptic functions over local fields
by
Peter Roquette(
Book
)
12 editions published in 1970 in 3 languages and held by 194 WorldCat member libraries worldwide
12 editions published in 1970 in 3 languages and held by 194 WorldCat member libraries worldwide
Collected papers of Peter Roquette
by
Peter Roquette(
Book
)
6 editions published in 2002 in English and Multiple languages and held by 102 WorldCat member libraries worldwide
6 editions published in 2002 in English and Multiple languages and held by 102 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
3 editions published in 1966 in German and held by 101 WorldCat member libraries worldwide
Analysis und Zahlentheorie : Vorlesung Hamburg 1920
by
Erich Hecke(
Book
)
5 editions published in 1987 in German and held by 96 WorldCat member libraries worldwide
5 editions published in 1987 in German and held by 96 WorldCat member libraries worldwide
Helmut Hasse und Emmy Noether : die Korrespondenz 19251935
by
Helmut Hasse(
Book
)
9 editions published in 2006 in German and English and held by 50 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 crossreferences, extended indexes, and short biographies of all persons mentioned in the correspondence have been added
9 editions published in 2006 in German and English and held by 50 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 crossreferences, extended indexes, and short biographies of all persons mentioned in the correspondence have been added
Contributions to the history of number theory in the 20th century
by
Peter Roquette(
Book
)
9 editions published in 2013 in English and held by 46 WorldCat member libraries worldwide
9 editions published in 2013 in English and held by 46 WorldCat member libraries worldwide
Emil Artin und Helmut Hasse : die Korrespondenz 1923  1934
by
Emil Artin(
Book
)
8 editions published in 2008 in German and held by 25 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 19231934, 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 Lseries and his reciprocity law towards Hasse‘s norm symbol, local class field theory and the LocalGlobal 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 followup 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
8 editions published in 2008 in German and held by 25 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 19231934, 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 Lseries and his reciprocity law towards Hasse‘s norm symbol, local class field theory and the LocalGlobal 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 followup 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
Mathematische Abhandlungen
by
Helmut Hasse(
Book
)
3 editions published in 1975 in German and held by 19 WorldCat member libraries worldwide
3 editions published in 1975 in German and held by 19 WorldCat member libraries worldwide
Mathematische Abhandlungen
by
Helmut Hasse(
Book
)
3 editions published in 1975 in German and held by 19 WorldCat member libraries worldwide
3 editions published in 1975 in German and held by 19 WorldCat member libraries worldwide
Mathematische Abhandlungen
by
Helmut Hasse(
Book
)
3 editions published in 1975 in German and held by 19 WorldCat member libraries worldwide
3 editions published in 1975 in German and held by 19 WorldCat member libraries worldwide
Die mathematischen Tagebücher von Helmut Hasse 19231935
by
Franz Lemmermeyer(
)
1 edition published in 2012 in German and held by 18 WorldCat member libraries worldwide
1 edition published in 2012 in German and held by 18 WorldCat member libraries worldwide
Lectures on formally padic fields
by
A Prestel(
Book
)
4 editions published in 1983 in English and held by 18 WorldCat member libraries worldwide
4 editions published in 1983 in English and held by 18 WorldCat member libraries worldwide
Helmut Hasse und Emmy Noether ; die Korrespondenz 1925  1935
by
Peter Roquette(
)
1 edition published in 2006 in Undetermined and held by 18 WorldCat member libraries worldwide
1 edition published in 2006 in Undetermined and held by 18 WorldCat member libraries worldwide
Emil Artin und Helmut Hasse
by
Peter Roquette(
)
1 edition published in 2008 in German and held by 18 WorldCat member libraries worldwide
1 edition published in 2008 in German and held by 18 WorldCat member libraries worldwide
Formally pacid fields
by
A Prestel(
Book
)
2 editions published in 1984 in Undetermined and English and held by 16 WorldCat member libraries worldwide
2 editions published in 1984 in Undetermined and English and held by 16 WorldCat member libraries worldwide
Helmut Hasse und Emmy Noether die Korrespondenz 1925  1935
(
)
1 edition published in 2006 in German and held by 16 WorldCat member libraries worldwide
1 edition published in 2006 in German and held by 16 WorldCat member libraries worldwide
Emil Artin und Helmut Hasse
by
Helmut Hasse(
Book
)
3 editions published in 2008 in German and English and held by 16 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 19231934, 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 Lseries and his reciprocity law towards Hasse's norm symbol, local class field theory and the LocalGlobal 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 followup 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
3 editions published in 2008 in German and English and held by 16 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 19231934, 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 Lseries and his reciprocity law towards Hasse's norm symbol, local class field theory and the LocalGlobal 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 followup 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
Emil Artin and Helmut Hasse : the correspondence, 19231958
by
Günther Frei(
Book
)
4 editions published in 2014 in English and held by 13 WorldCat member libraries worldwide
This volume presents English translations of the letters exchanged between Emil Artin and Helmut Hasse written from 1921 to 1958. The letters are accompanied by extensive comments explaining the mathematical background and providing other essential context. Most letters deal with class field theory and shed new light on the birth of one of its most profound results: Artin's reciprocity law
4 editions published in 2014 in English and held by 13 WorldCat member libraries worldwide
This volume presents English translations of the letters exchanged between Emil Artin and Helmut Hasse written from 1921 to 1958. The letters are accompanied by extensive comments explaining the mathematical background and providing other essential context. Most letters deal with class field theory and shed new light on the birth of one of its most profound results: Artin's reciprocity law
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Related Identities
 Hasse, Helmut 18981979 Author Editor Creator
 Noether, Emmy 18821935 Creator
 Brauer, Richard 1901
 Prestel, A. (Alexander) 1941 Author
 Lemmermeyer, Franz 1962 Creator Author Editor Translator
 Geramita, A. V.
 Ribenboim, Paulo
 Mathematisches Forschungsinstitut Oberwolfach
 Hecke, Erich 18871947 Author
 Leopoldt, Heinrich Wolfgang Editor
Associated Subjects
Algebra Algebraic fields Algebraic functions Algebraic number theory Artin, Emil, Austria Brauer groups BrauerHasseNoether theorem Class field theory Elliptic functions Germany Global analysis (Mathematics) Hasse, Helmut, Local fields (Algebra) Logic, Symbolic and mathematical Mathematical analysis Mathematicians Mathematics Number theory padic fields Philosophy Social sciencesPhilosophy Valued fields
Alternative Names
Roquette, P. 1927
Roquette, Peter Jacques.
Roquette, Peter Jaques 1927
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