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On the Evaluation of the Fifth Degree Elliptic Singular Moduli

General Mathematics 2015-02-03 v3

Abstract

We find in a algebraic radicals way the value of singular moduli k25nr0k_{25^nr_0} for any integer nn knowing only two consecutive values kr0k_{r_0} and kr0/25k_{r_0/25}

Keywords

Cite

@article{arxiv.1202.6246,
  title  = {On the Evaluation of the Fifth Degree Elliptic Singular Moduli},
  author = {Nikos Bagis},
  journal= {arXiv preprint arXiv:1202.6246},
  year   = {2015}
}

Comments

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