An Asymptotic Formula for a Sum of Products of Powers
Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 427-433
Voir la notice de l'article provenant de la source Cambridge University Press
Fix an integer r ≥ 2 and positive numbers b1, ..., br. Write σ = b1+ ...+br Let . In this note we evaluate the constant A (when it exists) for which 1 where the sum is over all vectors 2 We also obtain upper and lower bounds for the sum in (1).
Evans, Ronald J. An Asymptotic Formula for a Sum of Products of Powers. Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 427-433. doi: 10.4153/CMB-1978-075-6
@article{10_4153_CMB_1978_075_6,
author = {Evans, Ronald J.},
title = {An {Asymptotic} {Formula} for a {Sum} of {Products} of {Powers}},
journal = {Canadian mathematical bulletin},
pages = {427--433},
year = {1978},
volume = {21},
number = {4},
doi = {10.4153/CMB-1978-075-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-075-6/}
}
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