ICTS:31925

Video URL

Euler’s Zeta values (Special colloquium)

Euler’s Zeta values (Special colloquium)

(2025). Euler’s Zeta values (Special colloquium). SciVideos. https://youtube.com/live/CfARISAAZrE

Euler’s Zeta values (Special colloquium). SciVideos, May. 26, 2025, https://youtube.com/live/CfARISAAZrE 

          @misc{ scivideos_ICTS:31925,
            doi = {},
            url = {https://youtube.com/live/CfARISAAZrE},
            author = {},
            keywords = {},
            language = {en},
            title = {Euler{\textquoteright}s Zeta values (Special colloquium)},
            publisher = {},
            year = {2025},
            month = {may},
            note = {ICTS:31925 see, \url{https://scivideos.org/icts-tifr/31925}}
          }
Haruzo Hida
Talk numberICTS:31925
Source RepositoryICTS-TIFR

Abstract

We describe how Euler added up all positive integers into a mysterious fraction when he was 28 years old, and I try to legitimize his method “p-adically”. This is a story of Number Theory from the 17th century on. We only need some knowledge of polynomials and fractions of polynomials and very basics of differentiation. If time allows, I enter into some results related to Ramanujan I found when I was 28 years old. For the results exposed here, a detailed proof can be found in my book: “Elementary Theory of L-functions and Eisenstein Series,” LMSST vol. 26, 1993, Cambridge U. Press.