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The Brauer-Hasse-Noether theorem in historical perspective

- P. Roquette
- Mathematics
- 17 November 2004

The Main Theorem: Cyclic Algebras.- The Paper: Dedication to Hensel.- The Local-Global Principle.- From the Local-Global Principle to the Main Theorem.- The Brauer Group and Class Field Theory.- The… Expand

36 3- PDF

On the History of Valuation Theory

- P. Roquette
- 1999

3 Valuations in Number Theory 8 3.1 Hasse: Local-Global Principle . . . . . . . . . . . . . . . . . . . . 8 3.2 Multiplicative structure . . . . . . . . . . . . . . . . . . . . . . . 10 3.3 No Class… Expand

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From FLT to Finite Groups The remarkable career of Otto Grün

- P. Roquette
- 2005

Every student who starts to learn group theory will soon be confronted with the theorems of Grün. Immediately after their publication in the mid 1930s these theorems found their way into group theory… Expand

4 1- PDF

Up-regulation of vasopressin V(1a) receptor mRNA in rat facial motoneurons following axotomy.

- M. Chritin, P. Roquette, M. Schulz, C. Breton, E. Tribollet
- Biology, Medicine
- Brain research. Molecular brain research
- 5 July 1999

We have reported previously that axotomy induced a marked increase of vasopressin receptor binding in the adult rat facial nucleus, suggesting an increased number of vasopressin receptors. These… Expand

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The Riemann Hypothesis in Characteristic p in Historical Perspective

- P. Roquette
- Mathematics
- 15 October 2018

8- PDF

On the Arf invariant in historical perspective

- F. Lorenz, P. Roquette
- Mathematics
- 4 March 2010

Originally this manuscript was prepared for my talk at the workshop on Sequences, Curves and Codes in Antalya, 25–29 September 2009. Later I had given a talk with the same title on October 5, 2009 at… Expand

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On the history of Artin ’ s L-functions and conductors Seven letters from Artin to Hasse in the year 1930

- P. Roquette
- 2007

In the year 1923 Emil Artin introduced his new L-functions belonging to Galois characters. But his theory was still incomplete in two respects. First, the theory depended on the validity of the… Expand

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Class Field Theory in Characteristic $p$, its Origin and Development

- P. Roquette
- Mathematics
- 2001

Today’s notion of \global eld" comprises number elds (algebraic, of nite degree) and function elds (algebraic, of dimension 1, nite base eld). They have many similar arithmetic properties. The… Expand

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