Nome
Given a Theta Function, the nome is defined as
 | (1) |
is the complete Elliptic Integral of the First Kind, and 
is the Parameter. | (2) |
 | (3) |
Solving the nome for the Parameter gives
 | (4) |
is a Theta Function.See also Amplitude, Characteristic (Elliptic Integral), Elliptic Integral, Modular Angle,Modulus (Elliptic Integral), Parameter
References
Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 591, 1972.
- Radon Transform--Gaussian
- Radon Transform--Square
- Rado's Sigma Function
- Railroad Track Problem
- Ramanujan 6-10-8 Identity
- Ramanujan Constant
- Ramanujan Continued Fraction
- Ramanujan Cos/Cosh Identity
- Ramanujan-Eisenstein Series
- Ramanujan Function
- Ramanujan g- and G-Functions
- Ramanujan-Petersson Conjecture
- Ramanujan Psi Sum
- Ramanujan's Hypergeometric Identity
- Ramanujan's Hypothesis
- Ramanujan's Identity
- Ramanujan's Integral
- Ramanujan's Interpolation Formula
- Ramanujan's Master Theorem
- Ramanujan's Square Equation
- Ramanujan's Sum
- Ramanujan's Sum Identity
- Ramanujan's Tau-Dirichlet Series
- Ramanujan's Tau Function
- Ramanujan Theta Functions