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.
- Comment
- enIn 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.
- Has abstract
- enIn 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.
- Hypernym
- Regularization
- Id
- enp/z130090
- Is primary topic of
- Zeta function regularization
- Label
- enZeta function regularization
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- projecteuclid.org/euclid.cmp/1103900982
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- 1 + 1 + 1 + 1 + ⋯
- 1 + 2 + 3 + 4 + ...
- 1 + 2 + 3 + 4 + ⋯
- Abelian mean
- Advances in Mathematics
- Analytic continuation
- Analytic torsion
- Arithmetic function
- Cahen–Mellin integral
- Canadian Journal of Mathematics
- Casimir effect
- Category:Mathematical analysis
- Category:Quantum field theory
- Category:String theory
- Category:Summability methods
- Category:Zeta and L-functions
- Compact subset
- Complex number
- Conditionally convergent
- Conformal field theory
- Determinant
- Dimensional regularization
- Dirichlet series
- Divergent series
- Eigenvalue
- Elliptic differential operator
- Energy
- Energy–momentum tensor
- Euler
- G. H. Hardy
- Gamma function
- Generating function
- Heat equation
- Heat kernel
- J. E. Littlewood
- Laplace–Stieltjes transform
- Laplacian operator
- Laurent series
- Mathematics
- Mellin transform
- Minakshisundaram–Pleijel zeta function
- Number theory
- Partition function (quantum field theory)
- Path integral formulation
- Perron's formula
- Physics
- Quantum field theory
- Ramanujan summation
- Real number
- Regularization (mathematics)
- Regularization (physics)
- Renormalization
- Riemannian manifold
- Riemann zeta function
- Self-adjoint operator
- Simple pole
- Spacetime
- Step function
- String theory
- Summability method
- Theoretical physics
- Trace (linear algebra)
- Uniformly convergent
- Vacuum expectation value
- Zero-point energy
- Zeta function (operator)
- Z-transform
- SameAs
- 8A5J
- m.08km3r
- Q1048264
- Régularisation zêta
- Regularyzacja funkcją dzeta
- Zeta function regularization
- Регуляризація зета-функції
- ゼータ函数正規化
- 제타 함수 조절
- Subject
- Category:Mathematical analysis
- Category:Quantum field theory
- Category:String theory
- Category:Summability methods
- Category:Zeta and L-functions
- Title
- enZeta-function method for regularization
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- Zeta function regularization?oldid=1114334950&ns=0
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- Wikipage page ID
- 3014017
- Wikipage revision ID
- 1114334950
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