کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6415658 1335747 2012 39 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On p-adic Hurwitz-type Euler zeta functions
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On p-adic Hurwitz-type Euler zeta functions
چکیده انگلیسی

The definition for the p-adic Hurwitz-type Euler zeta functions has been given by using the fermionic p-adic integral on Zp. By computing the values of this kind of p-adic zeta function at negative integers, we show that it interpolates the Euler polynomials p-adically. Many properties are provided for the p-adic Hurwitz-type Euler zeta functions, including the convergent Laurent series expansion, the distribution formula, the functional equation, the reflection formula, the derivative formula, the p-adic Raabe formula and so on. The definition for the p-adic Euler L-functions has also been given by using the p-adic Hurwitz-type Euler zeta functions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Number Theory - Volume 132, Issue 12, December 2012, Pages 2977-3015
نویسندگان
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