# Sophie Germain and the theory of numbers

@article{Sampson1990SophieGA, title={Sophie Germain and the theory of numbers}, author={Joseph H. Sampson}, journal={Archive for History of Exact Sciences}, year={1990}, volume={41}, pages={157-161} }

Sophie Germain had maintained mathematical contacts for some years with such savants as Lagrange and Legendre; but her mathematical career may be said to date from her first letter to C. F. Gauss, 21 November 1804, signed with the pseudonym LeBlanc. Gauss, one year her junior, had published his first great work, the Disquisitiones Arithmeticae, in 1801, and Germain's letter is concerned chiefly with the famous §357. There Gauss, using his theory of periods of the cyclotomic polynomial f(x…

## 6 Citations

### The correspondence between Sophie Germain and Carl Friedrich Gauss

- Mathematics
- 2012

This paper publishes the correspondence between S. Germain and C.F. Gauss. The mathematical notes enclosed in her letters are published for the first time. These notes, in which she submitted some of…

### Unpublished manuscripts of Sophie Germain and a revaluation of her work on Fermat's Last Theorem

- Physics
- 2008

Published here, and discussed, are some manuscripts and a letter of Sophie Germain concerning her work on Fermat’s Last theorem. These autographs, held at Bibliotheque Nationale of Paris, at the…

### On the Correspondence of Sophie Germain

- Philosophy
- 2018

The aim of this paper is to give a thorough account of the presently known correspondence of Sophie Germain, as well as the history of its discovery and editing. In particular, we will focus on the…

### A Higher-Rank Mersenne Problem

- Computer ScienceANTS
- 2002

An analogue of the Mersenne problem in higher rank is introduced, in both a classical and an elliptic setting, and some of the difficulties involved in developing even a heuristic understanding of the problem are discussed.

## References

SHOWING 1-7 OF 7 REFERENCES

### Fermat’s Last Theorem

- Mathematics
- 1977

Honorable Pierre de Fermat was truthful. He could have squeezed the proof of his last theorem into a page margin. Fermat's last theorem has been proved on a single page. The proof is based on the…

### A classical introduction to modern number theory

- MathematicsGraduate texts in mathematics
- 1982

This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curve.

### PROOF OF FERMAT'S LAST THEOREM FOR ALL PRIME EXPONENTS LESS THAN 4002.

- MathematicsProceedings of the National Academy of Sciences of the United States of America
- 1955

* Based on research supported in part under Contract N6ori-02053, monitored by the Office of Naval Research. ' Harish-Chandra, "Plancherel Formula for the 2 X 2 Real Unimodular Group," these…

### Men of Mathematics

- ArtNature
- 1937

The amount of biographical details and of mathematics that the writer has compressed into a volume of 650 pages is extraordinary ; but he is never dull ; his style is lively, at times even 'snappy' ; he carries the reader along ; he whets the appetite.