Yoichi Motohashi - On an identity of Ramanujan

hrj:5105 - Hardy-Ramanujan Journal, January 23, 2019 - https://doi.org/10.46298/hrj.2019.5105
On an identity of Ramanujan

Authors: 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.


Published on: January 23, 2019
Submitted on: January 23, 2019
Keywords: Ramanujan's identity,Möbius inversion,Selberg's ${\Lambda}^2$-sieve, [ MATH ] Mathematics [math], [ MATH.MATH-NT ] Mathematics [math]/Number Theory [math.NT]


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