Theta function (disambiguation)

Theta functions $\vartheta(z;\tau)$ are special functions of several complex variables. Theta function may also refer to:

Jacobi-related functions:

Q-theta function $\theta(z;q)$ , a type of q-series
Theta function of a lattice $\Theta_\Lambda(\tau)$ , a holomorphic function on the upper half-plane
Mock theta functions $\mu(q), f(q), \phi(q), \psi(q), \chi(q)$ , etc., a mock modular form of weight 1/2
Ramanujan theta function $f(a,b)$

Other functions:

Riemann–Siegel theta function $\theta(t)$
Chebyshev function $\vartheta(x)$
Feferman's function $\theta_\alpha(\beta)$
Heaviside step function sometimes denoted $\theta(x)$

See also

Jacobi theta functions (notational variations) $\vartheta_{ij}(z;\tau), \vartheta_j(z), \theta_i(z;q)$

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