Theta function
In mathematics, theta functions are special functions of several complex variables. They are important in many areas, including the theories of abelian varieties and moduli spaces, and of quadratic fo...
Theta function - Wikipedia
Ramanujan theta function
In mathematics, particularly q-analog theory, the Ramanujan theta function generalizes the form of the Jacobi theta functions, while capturing their general properties. In particular, the Jacobi trip...
Ramanujan theta function - Wikipedia
Mock theta function
In mathematics, a mock modular form is the holomorphic part of a harmonic weak Maass form, and a mock theta function is essentially a mock modular form of weight 1/2. The first examples of mock theta ...
Theta divisor
In mathematics, the theta divisor Θ is the divisor in the sense of algebraic geometry defined on an abelian variety A over the complex numbers (and principally polarized) by the zero locus of the asso...
Theta characteristic
In mathematics, a theta characteristic of a non-singular algebraic curve C is a divisor class Θ such that 2Θ is the canonical class, In terms of holomorphic line bundles L on a connected compact Riema...
Jacobi theta functions (notational variations)
There are a number of notational systems for the Jacobi theta functions. The notations given in the Wikipedia article define the original functionwhich is equivalent toHowever, a similar notation is d...
Jacobi theta functions (notational variations) - Wikipedia
Q-theta function
In mathematics, the q-theta function is a type of q-series. It is given bywhere one takes 0 ≤ |q| < 1. It obeys the identitiesIt may also be expressed as:where is the q-...
Theta representation
In mathematics, the theta representation is a particular representation of the Heisenberg group of quantum mechanics. It gains its name from the fact that the Jacobi theta function is invariant under ...
Oscillator representation
In mathematics, the oscillator representation is a projective unitary representation of the symplectic group, first investigated by Irving Segal, David Shale, and André Weil. A natural extension of th...
Jacobi triple product
In mathematics, the Jacobi triple product is the mathematical identity:for complex numbers x and y, with |x| < 1 and y ≠ 0.It was introduced by Jacobi (1829) in his work Fundamenta Nova Theori...
Jacobi form
In mathematics, a Jacobi form is an automorphic form on the Jacobi group, which is the semidirect product of the symplectic group Sp(n;R) and the Heisenberg group . The theory was first systematicall...
Quintuple product identity
In mathematics the Watson quintuple product identity is an infinite product identity introduced by Watson (1929) and rediscovered by Bailey (1951) and Gordon (1961). It is analogous to the Jacobi...
Schottky problem
In mathematics, the Schottky problem, named after Friedrich Schottky, is a classical question of algebraic geometry, asking for a characterisation of Jacobian varieties amongst abelian varieties.
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Metaplectic group
In mathematics, the metaplectic group Mp2n is a double cover of the symplectic group Sp2n. It can be defined over either real or p-adic numbers. The construction covers more generally the case of an a...