On the von Staudt-Clausen theorem for q-Euler numbers

被引：6

作者：

Kim, T. ^{[1
]}

机构：

[1] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 20卷 / 01期

关键词：

Q-BERNOULLI; POLYNOMIALS; SERIES;

D O I：

10.1134/S1061920813010044

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The q-Euler numbers and polynomials were recently constructed [T. Kim, "The Modified q-Euler Numbers and Polynomials," Adv. Stud. Contemp. Math., 16, 161-170 (2008)]. These q-Euler numbers and polynomials have interesting properties. In this paper, we prove a theorem of the von Staudt-Clausen type for q-Euler numbers; namely, we prove that the q-Euler numbers are p-adic integers. Finally, we prove Kummer-type congruences for the q-Euler numbers.

引用

页码：33 / 38

页数：6

共 24 条

[1]

[Anonymous], MEM FS KOCHI U A

[2]

[Anonymous], J INEQUAL APPL

[3]

Cenkci M., 2007, Advanced Studies in Contemporary Mathematics, V15, P37

[4]

Cenkci Mehmet., 2004, ADV STUD CONT MATH, V9, P203

[5]

Comtet L., 1974, Advanced combinatorics

[6] STIRLINGS SERIES AND BERNOULLI NUMBERS [J].

DEEBA, EY ;

RODRIGUEZ, DM .

AMERICAN MATHEMATICAL MONTHLY, 1991, 98 (05) :423-426

[7]

Kim T., 2007, Advanced Studies in Contemporary Mathematics, V15, P133

[8] q-Extension of the Euler formula and trigonometric functions [J].

Kim, T. .

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2007, 14 (03) :275-278

[9]

Kim T, 2005, RUSS J MATH PHYS, V12, P186

[10]

Kim T, 2003, RUSS J MATH PHYS, V10, P91

← 1 2 3 →