Geodesic
An asymptotics of the average value of divisor function on shifted Gaussian numbers
Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 3, pp. 775-787.

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Under the condition of the extended Riemann hypothesis the asymptotic formula for the number of shifted Gaussian numbers not exceeding the arbitrary given bound is proved. 
@article{FPM_1996_2_3_a3,
     author = {H. Guediri},
     title = {An asymptotics of the average value of divisor function on shifted {Gaussian} numbers},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {775--787},
     publisher = {mathdoc},
     volume = {2},
     number = {3},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1996_2_3_a3/}
}
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H. Guediri. An asymptotics of the average value of divisor function on shifted Gaussian numbers. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 3, pp. 775-787. http://geodesic.mathdoc.fr/item/FPM_1996_2_3_a3/