In this paper we have given conditions on exponential polynomials \(P_{n}(s)\) of Dirichlet type to be attained the equality between each of two pairs of bounds, called essential bounds, \(a_{P_{n}(s)}\), \(\rho _{N}\) and \(b_{P_{n}(s)}\), \(\rho _{0}\) associated with \(P_{n}(s)\). The reciprocal question has been also treated. The bounds \(a_{P_{n}(s)}\), \(b_{P_{n}(s)}\) are defined as the end-points of the minimal closed and bounded real interval \(I= [ a_{P_{n}(s)},b_{P_{n}(s)} ] \) such that all the zeros of \(P_{n}(s)\) are contained in the strip \(I\times {\mathbb {R}}\) of the complex plane \({\mathbb {C}}\). The bounds \(\rho _{N}\), \(\rho _{0}\) are defined as the unique real solutions of Henry equations of \(P_{n}(s)\). Some applications to the partial sums of the Riemann zeta function have been also showed.

在本文中，我们对Dirichlet类型的指数多项式\（P_ {n}（s）\）给出了条件，以实现两对边界中的每对之间的相等性，称为基本边界\（a_ {P_ {n}（ s）} \），\（\ rho _ {N} \）和\（b_ {P_ {n}}}），\（\ rho _ {0} \）与\（P_ {n} （s）\）。互惠问题也已得到处理。边界\（a_ {P_ {n}} \），\（b_ {P_ {n}} \\）被定义为最小闭合和有界实区间\（I = [a_ {P_ {n}（s）}，b_ {P_ {n}（s）} \），这样\（P_ {n}（s）\）的所有零都包含在测试条中\（I \ times {\ mathbb {R}} \）的复平面\（{\ mathbb {C}} \）。边界\（\ rho _ {N} \），\（\ rho _ {0} \）被定义为\（P_ {n}（s）\）的Henry方程的唯一实解。还显示了对黎曼zeta函数的部分和的一些应用。