Sahoo, M.R.Satyanarayana, E.Sen, A.2020-03-312020-03-312019Journal of the Ramanujan Mathematical Society, 2019, Vol.34, 2, pp.185-190https://idr.nitk.ac.in/handle/123456789/12344This paper shows that vanishing of all moments of the complex sequence {zj} implies that {zj} is identically zero, provided {zj} 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.Article