Evaluation of Fifth Degree Elliptic Singular Moduli

Details Evaluation of Fifth Degree Elliptic Singular Moduli Evaluation of Fifth Degree Elliptic Singular Moduli

2012-02-22

arxiv.org/abs/1202.6246v1

Mathematics

General Mathematics

8 pages; Modular equations; Ramanujan; Continued Fractions; Elliptic Functions; Modular Forms; Polynomials; Algebraic Numbers

Scientific paper

Our main result in this article is a formula for the extraction of the solution of the fifth degree modular polynomial equation i.e. the value of $k_{25^nr_0}$, when we know only two consecutive values $k_{r_0}$ and $k_{r_0/25}$. By this way we reduce the problem of solving the depressed equation if we known two consecutive values of the Elliptic singular moduli $k_r$.

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