Regularization for zeta functions with physical applications I

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dc.creatorFujimoto, Minoru
dc.creatorUehara, Kunihiko
dc.date2006-09-06
dc.date.accessioned2026-07-07T07:24:19Z
dc.date.available2026-07-07T07:24:19Z
dc.descriptionWe propose a regularization technique and apply it to the Euler product of zeta functions, mainly of the Riemann zeta function, to make unknown some clear. In this paper that is the first part of the trilogy, we try to demonstrate the Riemann hypotheses by this regularization technique and show conditions to realize them. In part two, we will focus on zeros of the Riemann zeta function and the nature of prime numbers in order to prepare ourselves for physical applications in the third part.
dc.description23 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0609013
dc.identifierhttp://arxiv.org/abs/math-ph/0609013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116307
dc.subjectMathematical Physics
dc.subject11M06, 11M26
dc.titleRegularization for zeta functions with physical applications I
dc.typetext

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