Contact Email
Follow MathPhys
 The First Image of a Supermassive Black Hole at the Heart of Milky Way Galaxy May 17, 2022
 Are Real Numbers Real? September 27, 2021
 Can $1+1$ be $1$? June 28, 2021
 Could the Great Deluge in the Bible have really happened? June 26, 2021
 Twitter and Math July 13, 2018
Follow Us on Twitter

Recent Posts
Recent Comments
 Infinite Series  MathPhys Archive on $\sum_{n=0}^\infty e^{nix}$ is Cesàro Summable
 Infinite Series  MathPhys Archive on $1+2+3+4+\cdots=\frac{1}{12}$?
 Sung Lee on Doing Quantum Physics with SplitComplex Numbers
 dimcho dimov on Doing Quantum Physics with SplitComplex Numbers
 lawrence r mead on $\sum_{n=0}^\infty e^{nix}$ is Cesàro Summable
Categories
Meta
Category Archives: Summability Methods
$\sum_{n=0}^\infty e^{nix}$ is Cesàro Summable
Back when I was a Ph.D. student, a friend of mine (he was a Ph.D. student in physics studying laser optics) asked me if the series $\sum_{n=0}^\infty e^{nix}$ converges. I vaguely remember that his advisor needed to have a finite … Continue reading
Posted in Summability Methods
5 Comments
$1+2+3+4+\cdots=\frac{1}{12}$?
No, folks! I am not drunk nor I am potheaded. Yet, I am about to discuss the crazy identity $$1+2+3+4+\cdots=\frac{1}{12}.$$ No, I am not joking either. This is actually pretty serious mathematics and is also pretty serious stuff even to … Continue reading