Keywords

#zeta_function_regularization

Zeta function regularization

Summability method in physics

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.

Tue 4th

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Zeta function regularization 1 + 2 + 3 + 4 + ⋯ 1 + 1 + 1 + 1 + ⋯ Dimensional regularization Riemann zeta function Regularization (physics) Divergent series Particular values of the Riemann zeta function Renormalization Ramanujan summation
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