Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast, are ...

American Journal of Mathematics, Vol. 101, No. 4 (Aug., 1979), pp. 743-759 (17 pages) The elementary functions of a complex variable z are those functions built up from the rational functions of z by ...

It is shown that Ramanujan's cubic transformation of the Gauss hypergeometric function ₂F₁ arises from a relation between modular curves, namely the covering of ...