标题： Zeta函数正则化在Casimir效应计算中的应用及J.S.多克贡献 显示英文标题

标题： Zeta function regularization in Casimir effect calculations and J.S. Dowker's contribution

摘要： 关于算子ζ函数及其在物理问题中的应用的相关贡献的时间顺序总结如下。 描述以斯蒂芬·霍金和斯图尔特·道金斯及其合作者的经典贡献结束，许多作者认为这是ζ函数正则化方法引入理论物理学的实际起点，特别是用于量子真空涨落和卡西米尔效应的计算。 在回顾了这种方法的许多优点之后，讨论了一些局限性。 最后，介绍了所谓的算子正则化方法的最新结果。 显示英文摘要

摘要： A summary of relevant contributions, ordered in time, to the subject of operator zeta functions and their application to physical issues is provided. The description ends with the seminal contributions of Stephen Hawking and Stuart Dowker and collaborators, considered by many authors as the actual starting point of the introduction of zeta function regularization methods in theoretical physics, in particular, for quantum vacuum fluctuation and Casimir effect calculations. After recalling a number of the strengths of this powerful and elegant method, some of its limitations are discussed. Finally, recent results of the so called operator regularization procedure are presented.