تقرير
On the sum relation of multiple Hurwitz zeta functions
| العنوان: | On the sum relation of multiple Hurwitz zeta functions |
|---|---|
| المؤلفون: | Chung, Chan-Liang |
| سنة النشر: | 2016 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Number Theory |
| الوصف: | In this paper we shall define a special-valued multiple Hurwitz zeta functions, namely the multiple $t$-values $t(\boldsymbol{\alpha})$ and define similarly the multiple star $t$-values as $t^{\star}(\boldsymbol{\alpha})$. Then we consider the sum of all such multiple (star) $t$-values of fixed depth and weight with even argument and prove that such a sum can be evaluated when the evaluations of $t(\{2m\}^n)$ and $t^{\star}(\{2m\}^n)$ are clear. We give the evaluations of them in terms of the classical Euler numbers through their generating functions. Comment: 7 pages |
| نوع الوثيقة: | Working Paper |
| الوصول الحر: | http://arxiv.org/abs/1609.01362Test |
| رقم الانضمام: | edsarx.1609.01362 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |