#### Alladi Ramakrishnan Hall

#### On a density theoretic approach to Erdos Conjecture involving Dirichlet Series.

#### Mr. Abhishek T Bharadwaj.

##### Chennai Mathematical Institute.

*Let $f: \mathbb{N} \mapsto {\pm 1,0}$ be periodic mod q such that $f(a)=*

\pm1$ for $1\le a $\sum_{n \ge 1} \frac{f(n)}{n}

eq 0$. In this talk, we will discuss

about a density theoretic approach to prove that the conjecture is true

for at least 82% of the numbers $q \equiv 1 \text{mod} 4$. This work is

done by M. Ram Murty and Tapas Chatterjee.

Done