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12 relations: Annals of Mathematics, Closed manifold, Differential operator, Dirichlet eta function, Eigenvalues and eigenvectors, Elliptic operator, Hilbert modular surface, Hirzebruch signature theorem, Mathematics, Shimizu L-function, Signature defect, Zeta function regularization.
Annals of Mathematics
The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.
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Closed manifold
In mathematics, a closed manifold is a type of topological space, namely a compact manifold without boundary.
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Differential operator
In mathematics, a differential operator is an operator defined as a function of the differentiation operator.
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Dirichlet eta function
In mathematics, in the area of analytic number theory, the Dirichlet eta function is defined by the following Dirichlet series, which converges for any complex number having real part > 0: This Dirichlet series is the alternating sum corresponding to the Dirichlet series expansion of the Riemann zeta function, ζ(s) — and for this reason the Dirichlet eta function is also known as the alternating zeta function, also denoted ζ*(s).
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Eigenvalues and eigenvectors
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
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Elliptic operator
In the theory of partial differential equations, elliptic operators are differential operators that generalize the Laplace operator.
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Hilbert modular surface
In mathematics, a Hilbert modular surface or Hilbert–Blumenthal surface is one of the surfaces obtained by taking a quotient of a product of two copies of the upper half-plane by a Hilbert modular group.
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Hirzebruch signature theorem
In differential topology, an area of mathematics, the Hirzebruch signature theorem (sometimes called the Hirzebruch index theorem) is Friedrich Hirzebruch's 1954 result expressing the signature of a smooth compact oriented manifold by a linear combination of Pontryagin numbers called the L-genus.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Shimizu L-function
In mathematics, the Shimizu L-function, introduced by, is a Dirichlet series associated to a totally real algebraic number field.
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Signature defect
In mathematics, the signature defect of a singularity measures the correction that a singularity contributes to the signature theorem.
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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.
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Atiyah-Patodi-Singer eta invariant, Atiyah–Patodi–Singer eta invariant, Eta-invariant, Η invariant, Η-invariant.
