Correction to: “Some renewal theorems concerning a sequence of correlated random variables”
G. Sankaranarayanan, C. Suyambulingom · Pacific Journal of Mathematics · 1970
The proof of Theorem 1 is incomplete, hence Theorem 1 should have been stated as a conjecture.Theorem 2 was also proved by M. E. Hamstrom "A decomposition Theorem for E\ 111.J. Math.7 (1963), 503-507.I would like to thank Professor S. Armentrout and the Editor of this journal, Professor B. Gordon, for their remarks concerning the error in my "proof of Theorem 1 and the work of M. E. Hamstrom.