On the Evaluation of the Fifth Degree Elliptic Singular Moduli

Abstract

We find in a algebraic radicals way the value of singular moduli $k_{25^n{r}_0}$ for any integer $n$ knowing only two consecutive values $k_{r_0}$ and $k_{r_0/25}$

10 pages; Singular Moduli; Algebraic Numbers; Ramanujan; Continued Fractions; Elliptic Functions; Modular equations; Iterations; Polynomials; Pi

References in corpus (2)

• The complete evaluation of Rogers Ramanujan and other continued fractions with elliptic functions
• Solutions by radicals at singular values k_N from new class invariants for N \equiv 3 mod 8

Cited by in corpus (4)

• On a General Sextic Equation Solved by the Rogers Ramanujan Continued Fraction
• On the Complete Evaluation of Jacobi Theta Functions
• On the complete solution of the general quintic using Rogers-Ramanujan continued fraction
• On Algebraic Functions