On the von Staudt–Clausen’s theorem associated with q-Genocchi numbers.

Recently, the von Staudt–Clausen’s theorem for q -Euler numbers was introduced by Kim (2013) and q -Genocchi numbers were constructed by Araci et al. (2013). In this paper, we give the corresponding von Staudt–Clausen’s theorem for q -Genocchi numbers and also get the Kummer-type congruence for q -Genocchi numbers. [ABSTRACT FROM AUTHOR]