On the Euler Numbers and Its Applications
نویسنده
چکیده
Abstract. Recently, the q-Euler numbers and polynomials are constructed in [T. Kim, The modified q-Euler numbers and polynomials, Advanced Studies in Contemporary Mathematics, 16(2008), 161-170]. These q-Euler numbers and polynomials contain the interesting properties. In this paper we prove Von-Staudt Clausen’s type theorem related to the q-Euler numbers. That is, we prove that the q-Euler numbers are p-adic integers. Finally, we give the proof of Kummer type congruences for the q-Euler numbers.
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