Reciprocity Laws

Reciprocity Laws. From Euler to Eisenstein

Here's the actual table of contents with ps and pdf file of Chapter 11 (corrected version), and I also have prepared a description of the content with a few examples. A table of errata is available as a pdf file.

Here are some reviews of the book by F. Gouvea for MAA online, H. Opolka for Zentralblatt, Roland Auer, Ch. Baxa, N. Schappacher for the Semesterberichte, P. Shiu for the Math. Gazette, and S. Raghavan for Ganita-Bharati, a Bulletin of the Indian Society for History of Mathematics.


The combined bibliography can be found online, complete with references to the Mathematical Reviews, the Zentralblatt and the Jahrbuch. Moreover, I have a list of published proofs of the Quadratic Reciprocity Law. Here's a draft for a similar list of proofs of the Quartic Reciprocity Law.


Last update: 31.03.2020