On Sums of Powers
[Math. Dept.]
June 07, 2018 16:30-17:30
W303 School of Mathematics
SPEAKER
Shouwu Zhang (Princeton University)
ABSTRCT
In this talk, I will first review a brief history of 2500 years in searching a formula for finite sums 1^k+2^k+⋯+n^k which lead to work of Euler on infinite sums. 1^k+2^k+⋯+n^k+⋯ Then I will explain how this game of calculus unfold some secrets of primes in a series work of Euler, Dirichlet, and Riemann in 18-19 century. Finally, I will describe how the study of L-function becomes a central topic in 20-21 century of number theory under framework of Langlands program and arithmetic geometry.
SUPPORTED BY
School of Mathematics, Sichuan University
LECTURE NOTES
TMCSC180607a_张寿武_On Sums of Powers
VIDEO
- On Sums of Powers
- 16:30 - 17:30, 2018-06-07 at W303 School of Mathematics
- Shouwu Zhang (Princeton University)