Geodesic
On the remainder term in the circle problem in an arithmetic progression
Informatics and Automation, Number theory, algebra, and analysis, Tome 276 (2012), pp. 266-279

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In this paper we improve the estimate for the remainder term in the asymptotic formula concerning the circle problem in an arithmetic progression. 
@article{TRSPY_2012_276_a22,
     author = {D. I. Tolev},
     title = {On the remainder term in the circle problem in an arithmetic progression},
     journal = {Informatics and Automation},
     pages = {266--279},
     publisher = {mathdoc},
     volume = {276},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2012_276_a22/}
}
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D. I. Tolev. On the remainder term in the circle problem in an arithmetic progression. Informatics and Automation, Number theory, algebra, and analysis, Tome 276 (2012), pp. 266-279. http://geodesic.mathdoc.fr/item/TRSPY_2012_276_a22/