On the Evaluation of the Fifth Degree Elliptic Singular Moduli

Nikos D. Bagis

Abstract: We find in a closed-algebraic radicals form the value of the fifth degree singular moduli at r in any order, knowing only two consecutive values i. e. the values at r and r/25.

Keywords: Singular Moduli, Algebraic Numbers, Ramanujan, Continued Fractions, Elliptic Functions, Modular equations, Iterations, Polynomials, Pi