𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A central limit theorem for Ramanujan’s tau function

✍ Scribed by P. D. T. A. Elliott


Book ID
118809248
Publisher
Springer US
Year
2012
Tongue
English
Weight
501 KB
Volume
29
Category
Article
ISSN
1382-4090

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Hardy–Ramanujan's Asymptotic Formula for
✍ Luis Báez-Duarte 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 668 KB

Let f (z) be the generating function of the sequence [ p(n)] of unrestricted partitions of n, and let X t be an integral random variable taking the value n with probability ( f (t)) &1 p(n) t n . It is shown here that, as t Ä 1, the normalized X t are asymptotically Gaussian. The mode of convergence