Abstract
Recently, the Von Staudt-Clausen theorem for q-Euler numbers was introduced by Kim (Russ. J. Math. Phys. 20(1):33-38, 2013) and Araci et al. have also studied this theorem for q-Genocchi numbers (see Araci et al. in Appl. Math. Comput. 247:780-785, 2014) based on the work of Kim et al. In this paper, we give the corresponding Von Staudt-Clausen theorem for the weighted q-Genocchi numbers and also prove the Kummer-type congruences for the generated weighted q-Genocchi numbers.
Highlights
Introduction and preliminariesAs is well known, a theorem including the fractional part of Bernoulli numbers, which is called the Von Staudt-Clausen theorem, was introduced by Karl Von Staudt and ThomasClausen
A theorem including the fractional part of Bernoulli numbers, which is called the Von Staudt-Clausen theorem, was introduced by Karl Von Staudt and Thomas
In [ ], Kim has studied the Von Staudt-Clausen theorem for the q-Euler numbers and Araci et al have introduced the Von Staudt-Clausen theorem associated with q-Genocchi numbers
Summary
A theorem including the fractional part of Bernoulli numbers, which is called the Von Staudt-Clausen theorem, was introduced by Karl Von Staudt and Thomas. In [ ], Kim has studied the Von Staudt-Clausen theorem for the q-Euler numbers and Araci et al have introduced the Von Staudt-Clausen theorem associated with q-Genocchi numbers. Let p be a fixed odd prime number. Throughout this paper, Zp, Qp and Cp will denote the ring of p-adic integers, the field of p-adic rational numbers and the completion of the algebraic closure
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
