English

On Algebraic Functions

General Mathematics 2014-03-28 v3

Abstract

In this note we consider functions with Moebius-periodic rational coefficients. These functions under some conditions take algebraic values and can be recovered by theta functions and the Dedekind eta function. Special cases are the elliptic singular moduli, the Rogers-Ramanujan continued fraction, Eisenstein series and functions associated with Jacobi symbol coefficients.

Keywords

Cite

@article{arxiv.1305.1591,
  title  = {On Algebraic Functions},
  author = {Nikos Bagis},
  journal= {arXiv preprint arXiv:1305.1591},
  year   = {2014}
}

Comments

12 pages, elliptic functions

R2 v1 2026-06-22T00:12:59.189Z