: Mathematics: zeta function regularization

mathematical physics > quantum field theory > zeta function regularization

number > number theory > analytic number theory > L-function > zeta function regularization

mathematical analysis > complex analysis > meromorphic function > L-function > zeta function regularization

mathematical analysis > functional analysis > operator > zeta function regularization

mathematical physics > string theory > zeta function regularization

zeta function regularization

In mathematics and theoretical physics, zeta function regularization is a type of regularization or summability method that assigns finite values to divergent sums or products, and in particular can be used to define determinants and traces of some self-adjoint operators. The technique is now commonly applied to problems in physics, but has its origins in attempts to give precise meanings to ill-conditioned sums appearing in number theory.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Zeta_function_regularization)

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