Abstract
The pamphlet 1826 that constitutes Dirichlet’s first publication in his own name is a small, twenty-page-long brochure containing his proof of Fermat’s Last Theorem for \(n = 5\). It had a very limited circulation, but, as we noted in the two preceding chapters, it reached the individuals and institutions considered important by Humboldt in finding a suitable position for Dirichlet on leaving Paris.
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Notes
- 1.
Aside from the copies already mentioned as having been sent to the Berlin Akademie, to Altenstein, to Gauss, and to the Breslau faculty, Kronecker, in the preface to Dirichlet’s Werke, later related that he subsequently located copies in the Dirichlet Nachlass, the Berlin Staatsbibliothek, and in the Fonds Huzard of the Paris Institut’s library (the last-named easily explained since the pamphlet was produced by the Imprimerie Huzard-Courcier).
- 2.
See, however, the fourth paragraph in Sect. 3.3 of Chap. 3 above.
- 3.
Werke 1:3–4.
- 4.
When Dirichlet mentions the Theory of Numbers (without naming the author) in the publications of 1826 and 1828 he is referring to Legendre 1808. Legendre’s section numbers for his 1808 and 1830 publications correspond through the first part of his book V, and the content is almost the same except for additional examples in the 1830 edition.
- 5.
Gauss 1825; see Gauss Werke 2:166.
- 6.
Gauss 1825; see Gauss Werke 2:168.
- 7.
Werke 2:375.
- 8.
This is equivalent to Gauss’s definition published in Gauss 1801, Section 4 and Gauss 1825.
- 9.
Werke 1:69.
- 10.
Werke 1:70.
- 11.
Werke 1:71.
- 12.
Werke 1:74.
- 13.
Werke 1:78.
- 14.
Werke 1:84.
- 15.
Werke 1:85.
- 16.
Werke 1:85.
- 17.
Kronecker 1888 provides the details of Kronecker’s modular forms treatment of Dirichlet’s problem.
- 18.
Lagrange 1771; see Lagrange Oeuvres 3:425–38.
- 19.
For further references see Dickson 1919–23 (2005) 1:275–76.
- 20.
Kronecker 1858; see Kronecker Werke 4:182.
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Merzbach, U.C. (2018). Early Publications. In: Dirichlet. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01073-7_5
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