In this paper, we propose a new program for introducing the sign of the functional equation to present the entire functions of order one in number theory. We suggest some open problems for the zeros of these entire functions related to the completed Dedekind zeta function, completed quadratic Dirichlet L-functions, completed Ramanujan zeta function and completed automorphic L-function. These lead to the contribution to giving the deep understanding for diffusion equations associated with the entire functions of order one in number theory.

中文翻译：

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数论中全部函数的新程序

在本文中，我们提出了一种新的程序，通过引入函数方程的符号来表示数论中的整个一阶函数。我们提出了一些与完整的 Dedekind zeta 函数、完整的二次狄利克雷 L 函数、完整的 Ramanujan zeta 函数和完整的自守 L 函数相关的完整函数的零点问题。这些有助于深入理解与数论中整个一阶函数相关的扩散方程。