Original Work
Ramanujan's original work includes partition congruences, tau-function conjectures, theta-function identities, q-series, continued fractions, modular equations and striking approximations.
Later Fields Inspired by His Work
Modern work in modular forms, mock modular forms, q-series, combinatorics, representation theory, mathematical physics, black-hole entropy research, moonshine and quantum modular forms draws on ideas connected to Ramanujan. These later fields should not be collapsed into his personal authorship.
What Was Proved Later
Later mathematics clarified the Ramanujan-Petersson bound, the Ramanujan-Nagell equation, mock theta theory, many notebook identities and modern interpretations of modular and q-series results.
Named in His Honour
Some concepts were formulated by Ramanujan, some were collaborative, and some were named later because of their relation to conjectures or influence. The named-concepts archive preserves those distinctions.
Influence Areas
Number theory, partition theory, modular forms, mock modular forms, q-series, continued fractions, combinatorics, representation theory, mathematical physics, black-hole entropy research, moonshine, quantum modular forms and modern computation of pi all contain threads connected to Ramanujan's work or its afterlife.