Geodesic
Weighted gcd-sum functions
Journal of integer sequences, Tome 14 (2011) no. 7
We investigate weighted gcd-sum functions, including the alternating gcd-sum function and those having as weights the binomial coefficients and values of the Gamma function. We also consider the alternating lcm-sum function.
Classification : 11A25, 05A10, 33B15
Keywords: gcd-sum function, lcm-sum function, Euler's function, Möbius function, binomial coefficient, gamma function 
@article{JIS_2011__14_7_a5,
     author = {T\'oth,  L\'aszl\'o},
     title = {Weighted gcd-sum functions},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {7},
     zbl = {1259.11014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_7_a5/}
}
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Tóth,  László. Weighted gcd-sum functions. Journal of integer sequences, Tome 14 (2011) no. 7. http://geodesic.mathdoc.fr/item/JIS_2011__14_7_a5/