Geodesic
Sums of Powers in Arithmetic Progressions
Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 505-506

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The papers [2] and [3] study the function g(k, n), defined for integers k > 1 and n > 1 as the smallest r with the property that every integer is a sum of r kth powers mod n. This note identifies g′(k), defined as the maximum over all n of g(k, n), with the function Γ(k) studied by Hardy and Littlewood [1] fifty years ago in connection with Waring's problem. 
Small, Charles. Sums of Powers in Arithmetic Progressions. Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 505-506. doi: 10.4153/CMB-1978-087-7
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     title = {Sums of {Powers} in {Arithmetic} {Progressions}},
     journal = {Canadian mathematical bulletin},
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     year = {1978},
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     number = {4},
     doi = {10.4153/CMB-1978-087-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-087-7/}
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