Geodesic
Small Solutions of the Congruence ax2 + by2 ≡ c(mod k)
Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 311-320

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In 1957, Mordell [3] provedTheorem. If p is an odd prime there exist non-negative integers x, y ≤ A p3/4 log p, where A is a positive absolute constant, such that (1.1) provided (abc, p) = 1.Recently Smith [5] has obtained a sharp asymptotic formula for the sum where r(n) denotes the number of representations of n as the sum of two squares. 
Williams, Kenneth S. Small Solutions of the Congruence ax2 + by2 ≡ c(mod k). Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 311-320. doi: 10.4153/CMB-1969-039-0
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     title = {Small {Solutions} of the {Congruence} ax2 + by2 \ensuremath{\equiv} c(mod k)},
     journal = {Canadian mathematical bulletin},
     pages = {311--320},
     year = {1969},
     volume = {12},
     number = {3},
     doi = {10.4153/CMB-1969-039-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-039-0/}
}
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