Sahoo, M.R.Satyanarayana, E.Sen, A.2026-02-052019Journal of the Ramanujan Mathematical Society, 2019, 34, 2, pp. 185-1909701249https://idr.nitk.ac.in/handle/123456789/24523This paper shows that vanishing of all moments of the complex sequence {z<inf>j</inf>} implies that {z<inf>j</inf>} is identically zero, provided {z<inf>j</inf>} is in lp,1 ? p < ?. This proof is different from one given by Priestley [Proc. Amer. Math. Soc. 116 (1992) 437–444] and shows an interesting connection of this problem with heat kernel. © 2019 Ramanujan Mathematical Society. All rights reserved.