Zeta Functions: Symmetry and Applications †
National Higher Research Council of Spain, Institute for Space Sciences, UAB Campus, Carrer de Can Magrans s/n, 08193 Bellaterra (Barcelona), Spain
†
Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017.
Proceedings 2018, 2(1), 38; https://doi.org/10.3390/proceedings2010038
Published: 3 January 2018
(This article belongs to the Proceedings of The First International Conference on Symmetry)
A short summary of some symmetry properties of the Riemann zeta function and of different zeta functions corresponding to pseudodifferential operators will be given. An introduction to the main issues concerning the zeta-function regularization procedure will follow, with special emphasis on the rigor, power, and universality of the method, contrasting with the sloppy missuses of the same that have appeared too often in the literature. After that, applications of zeta-function regularization in quantum field theory and cosmology will be discussed, together with some important associated problems that can be dealt with by using this method.
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MDPI and ACS Style
Elizalde, E. Zeta Functions: Symmetry and Applications. Proceedings 2018, 2, 38. https://doi.org/10.3390/proceedings2010038
AMA Style
Elizalde E. Zeta Functions: Symmetry and Applications. Proceedings. 2018; 2(1):38. https://doi.org/10.3390/proceedings2010038
Chicago/Turabian StyleElizalde, Emilio. 2018. "Zeta Functions: Symmetry and Applications" Proceedings 2, no. 1: 38. https://doi.org/10.3390/proceedings2010038
