Singular Value
A Modulus 
such that
where
is a complete Elliptic Integral of the First Kind, and 
. TheElliptic Lambda Function 
gives the value of .Abel 
(quoted in Whittaker and Watson 1990, p. 525) proved that if 
is an Integer, or more generally whenever
where
, 
, 
, 
, and 
are Integers, then the Modulus 
is the Root of an algebraic equation with Integer Coefficients.See also Elliptic Integral Singular Value, Elliptic Integral of the First Kind, Elliptic Lambda Function,Modulus (Elliptic Integral)
References
Whittaker, E. T. and Watson, G. N. A Course in Modern Analysis, 4th ed. Cambridge, England: Cambridge University Press, pp. 524-528, 1990.
- Histogram
- Hitch
- Hitting Set
- Hjelmslev's Theorem
- HJLS Algorithm
- HK Integral
- Hodge Star
- Hodge's Theorem
- Hoehn's Theorem
- Hoffman-Singleton Graph
- Hoffman's Minimal Surface
- Hofstadter-Conway $10,000 Sequence
- Hofstadter Figure-Figure Sequence
- Hofstadter G-Sequence
- Hofstadter H-Sequence
- Hofstadter Male-Female Sequences
- Hofstadter Point
- Hofstadter Sequences
- Hofstadter's Q-Sequence
- Hofstadter Triangle
- Hole
- Holomorphic Function
- Holonomic Constant
- Holonomic Function
- Holonomy