Geodesic
An Asymptotic Formula for a Sum of Products of Powers
Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 427-433

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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
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     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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