Proofs from THE BOOK || The law of quadratic reciprocity
✍ Scribed by Aigner, Martin; Ziegler, Günter M.
- Book ID
- 120305718
- Publisher
- Springer Berlin Heidelberg
- Year
- 2010
- Weight
- 717 KB
- Category
- Article
- ISBN
- 3642008569
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A unique synthesis of the three existing Fourier-analytic treatments of quadratic reciprocity. The relative quadratic case was first settled by Hecke in 1923, then recast by Weil in 1964 into the language of unitary group representations. The analytic proof of the general n-th order case is
"... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs