Zeta函数及五个相关函数的整数赋值中的奇偶性主题
Themes of parity in the valuation for integer numbers of the zeta function and of five related functions
摘要：
本文考虑zeta函数和其他五个自然与之相关的函数的整数赋值问题。一个相对基本的方法被暴露出来，它将这个仍然部分开放的问题与奇偶性的五个主题紧密联系起来：函数奇偶性和多项式次数奇偶性的概念在这里与下列自然参数的奇偶性的区别有关：所考虑的六个函数以及其一些逆幂被求和的整数。所采用的方法主要是为了使数学专业的学生能够进入这个问题。
英文摘要：
This paper considers the problem of the valuation for integer numbers of the zeta function and of five other functions which are naturally associated to it. A relatively elementary approach is exposed, which closely connects this still partially open problem to five themes of parity: the notions of parity of a function and of parity of the degree of a polynomial are here related to the distinctions of parity concerning the natural argument of the six considered functions as well as the integer numbers of which some inverse powers are summed. The adopted method essentially aims at enabling the students in mathematics to have an entry into this problem.
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