Geodesic
The Average Number of Divisors in an Arithmetic Progression
Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 37-41

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Let l and k be positive integers. Then for each integer n ≥ 1, define d(n; l, k) to be the number of (positive) divisors of n which lie in the arithmetic progression I mod k. Note that d(n;1,1) = d(n), the ordinary divisor function. 
Smith, R. A.; Subbarao, M. V. The Average Number of Divisors in an Arithmetic Progression. Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 37-41. doi: 10.4153/CMB-1981-005-3
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     title = {The {Average} {Number} of {Divisors} in an {Arithmetic} {Progression}},
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     year = {1981},
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