Two complementary relations for the Rogers-Ramanujan continued fraction
Abstract
Let R(q) be the Rogers-Ramanujan continued fraction. We give different proofs of two complementary relations for R(q) given by Ramanujan and proved by Watson and Ramanathan. Our proofs only use product expansions for classical Jacobi theta functions.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.