1. On the algebraic independence of functions of a certain class
- Author
-
Pavel Yu Kozlov
- Subjects
Discrete mathematics ,Complex-valued function ,Function field of an algebraic variety ,Mathematics::General Mathematics ,Mathematics::Number Theory ,General Mathematics ,Addition theorem ,Ramanujan's sum ,Ramanujan theta function ,symbols.namesake ,Special functions ,symbols ,Elliptic rational functions ,Ramanujan tau function ,Mathematics - Abstract
We consider Ramanujan functions and a family of functions whose properties are close to those of Ramanujan functions. We prove the algebraic independence of these functions over the field of rational functions with complex coefficients. We also prove a bound for the multiplicity of the zeros of polynomials in these functions.
- Published
- 2013
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