Volume 36


1. On the class number formula of certain real quadratic fields

Chakraborty, K ; Kanemitsu, S ; Kuzumaki, T.
In this note we give an alternate expression of class number formula for real quadratic fields with discriminant $d \equiv 5\, {\rm mod}\, 8$. %Dirichlet's classical class number formula for real quadratic fields expresses `class number' in somewhat `transcend' manner, which was simplified by P. […]

2. On the Riesz means of $\frac{n}{\phi(n)}$

Sankaranarayanan, A ; Singh, Saurabh Kumar .
Let $\phi(n)$ denote the Euler-totient function. We study the error term of the general $k$-th Riesz mean of the arithmetical function $\frac {n}{\phi(n)}$ for any positive integer $k \ge 1$, namely the error term $E_k(x)$ where \[ \frac{1}{k!}\sum_{n \leq x}\frac{n}{\phi(n)} \left( […]

3. Ramanujan series for arithmetical functions

Murty, M. Ram.
We give a short survey of old and new results in the theory of Ramanujan expansions for arithmetical functions.

4. I am fifty-five years old

Ramachandra, K.
This is an autobiographical article published posthumously.