Geodesic
The Circle Problem in an Arithmetic Progression
Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 175-184

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In following a suggestion of S. Chowla to apply a method of C. Hooley [3] to obtain an asymptotic formula for the sum ∑ r(n)r(n+a), where r(n) denotes the number of representations of n≤xn as the sum of two squares and is positive integer, we have had to obtain non-trivial estimates for the error term in the asymptotic expansion of 1 
Smith, R.A. The Circle Problem in an Arithmetic Progression. Canadian mathematical bulletin, Tome 11 (1968) no. 2, pp. 175-184. doi: 10.4153/CMB-1968-019-2
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     title = {The {Circle} {Problem} in an {Arithmetic} {Progression}},
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     year = {1968},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-019-2/}
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