Geodesic
Note on the Hardy-Landau Summation Formula
Canadian mathematical bulletin, Tome 8 (1965) no. 6, pp. 717-720

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Broadly speaking, the Hardy-Landau summation formula * is given by where r(n) is the number of integer solutions of the Diophantine equation x2 + y2 = n, and f(x) and g(x) are transforms with respect to the Watson kernel that is: and 
Pearson, T. L. Note on the Hardy-Landau Summation Formula. Canadian mathematical bulletin, Tome 8 (1965) no. 6, pp. 717-720. doi: 10.4153/CMB-1965-053-8
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     title = {Note on the {Hardy-Landau} {Summation} {Formula}},
     journal = {Canadian mathematical bulletin},
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     year = {1965},
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     number = {6},
     doi = {10.4153/CMB-1965-053-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1965-053-8/}
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