eng
episciences.org
Hardy-Ramanujan Journal
2804-7370
2019-01-23
10.46298/hrj.2019.5105
5105
journal article
On an identity of Ramanujan
Yoichi Motohashi
Proofs published so far in articles and books, of the Ramanujan identity presented in this note, which depend on Euler products, are essentially the same as Ramanujan's original proof. In contrast, the proof given here is short and independent of the use of Euler products.
https://hrj.episciences.org/5105/pdf
Ramanujan's identity
MÃ¶bius inversion
Selberg's ${\Lambda}^2$-sieve
[ MATH ] Mathematics [math]
[ MATH.MATH-NT ] Mathematics [math]/Number Theory [math.NT]