On a conjecture of erdős and certain dirichlet series

dc.contributor.author	Chatterjee, T.
dc.contributor.author	Murty, R.
dc.date.accessioned	2016-11-19T07:21:08Z
dc.date.available	2016-11-19T07:21:08Z
dc.date.issued	2016-11-19
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/488
dc.description.abstract	Let f : Z/qZ{long rightwards arrow}Z be such that f (a)=±1 for 1≤a <q, and f(q)=0. Then Erdős conjectured that Σn≥1 f(n)/n≠0. For q even, it is easy to show that the conjecture is true. The case q ≡ 3 (mod 4) was solved by Murty and Saradha. In this paper, we show that this conjecture is true for 82% of the remaining integers q ≡ 1 (mod 4).	en_US
dc.language.iso	en_US	en_US
dc.subject	Erdős conjecture	en_US
dc.subject	Nonvanishing of dirichlet series	en_US
dc.subject	Okada's criterion	en_US
dc.title	On a conjecture of erdős and certain dirichlet series	en_US
dc.type	Article	en_US