Named Concepts

Historically qualified concepts personally formulated, rediscovered, collaboratively developed, or named for Ramanujan later.

personally formulated

Ramanujan Sums

Ramanujan Sums is catalogued as a formula in Ramanujan Sums.

personally formulated

Ramanujan Expansions

Ramanujan Expansions is catalogued as a method in Ramanujan Sums.

named later

Ramanujan Primes

The term Ramanujan prime was introduced later and is based on Ramanujan's theorem.

named later

Ramanujan Graphs

Ramanujan graphs were developed after his death and named through their connection with the Ramanujan conjecture.

named later

Ramanujan Complexes

Ramanujan complexes are later mathematical structures named by analogy with Ramanujan graphs.

personally formulated

Ramanujan Theta Function

Ramanujan's General Theta Function is catalogued as a function in Ramanujan Theta Functions.

personally formulated

Ramanujan Tau Function

Ramanujan's Tau Function is catalogued as a function in Ramanujan's Tau Function.

named later

Ramanujan Conjecture

The modern theorem and naming developed after Ramanujan's original conjectural bounds.

collaborative

Ramanujan-Petersson Conjecture

The modern theorem and naming developed after Ramanujan's original conjectural bounds.

personally formulated

Ramanujan Differential Equations

Ramanujan Differential Equations is catalogued as a formula in Eisenstein and Modular Series.

personally formulated

Ramanujan's Master Theorem

Ramanujan's Master Theorem is catalogued as a theorem in Ramanujan's Master Theorem.

personally formulated

Ramanujan Summation

This is not an ordinary sum; it belongs only in regularisation or summation-method contexts.

historically associated

Ramanujan-Nagell Equation

Ramanujan conjectured the equation's solutions; Trygve Nagell later proved the result.

named later

Ramanujan-Sato Series

Ramanujan-Sato series are later developments influenced by Ramanujan's 1/pi series.

historically associated

Ramanujan-Gollnitz-Gordon Continued Fraction

Ramanujan-Gollnitz-Gordon Continued Fraction is catalogued as a continued fraction in Other Continued Fractions.

independently rediscovered

Rogers-Ramanujan Identities

Historically connected to Rogers, Ramanujan and later Schur.

historically associated

Rogers-Ramanujan Continued Fraction

The continued fraction has historical connections to Rogers and Schur as well as Ramanujan.

collaborative

Hardy-Ramanujan Asymptotic Formula

A collaboration with G. H. Hardy giving the growth of p(n).

collaborative

Hardy-Ramanujan Theorem

A collaboration with G. H. Hardy giving the growth of p(n).

collaborative

Hardy-Ramanujan Circle Method

Hardy-Ramanujan Circle Method is catalogued as a method in Partition Theory.

historically associated

Hardy-Ramanujan Number

Ramanujan did not discover 1729 during the taxi conversation; he immediately recognized its special property.

historically associated

Landau-Ramanujan Constant

The Landau-Ramanujan theorem is primarily due to Landau, while Ramanujan obtained related ideas.

historically associated

Ramanujan-Soldner Constant

The constant was first discovered by Soldner; its Ramanujan association is historical and nomenclatural.

named later

Ramanujan Polynomials

Ramanujan Polynomials is catalogued as a concept in Ramanujan Polynomials.

personally formulated

Ramanujan's Factorial Approximation

Ramanujan's Factorial Approximation is catalogued as a approximation in Ramanujan's Factorial Approximation.

historically associated

Ramanujan's Integral

Definite Integrals is catalogued as a formula in Definite Integrals and Integral Transforms.

personally formulated

Ramanujan Congruences

Ramanujan discovered striking congruence properties of partition numbers.

personally formulated

Ramanujan Modular Equations

Modular-Equation Methods for 1/pi is catalogued as a method in Formulas for pi.

personally formulated

Ramanujan's 1 psi 1 Summation

Ramanujan's 1 psi 1 Summation is catalogued as a theorem in q-Series and Basic Hypergeometric Series.

personally formulated

Ramanujan's Nested-Radical Identities

Infinite Nested Radical is catalogued as a formula in Nested Radicals.

historically associated

Ramanujan-Selberg Continued Fractions

This is a historically associated named continued-fraction family; exact attribution needs source review.

personally formulated

Ramanujan Discriminant Function

Generating Function for tau(n) is catalogued as a formula in Ramanujan's Tau Function.

personally formulated

Ramanujan Prime-Interval Theorem

The later term Ramanujan prime grows out of Ramanujan's theorem on primes in intervals.

historically associated

Ramanujan q-Series Products

q-Pochhammer Product Formulas is catalogued as a formula in q-Series and Basic Hypergeometric Series.

personally formulated

Ramanujan Class Invariants

Ramanujan Class Invariants G_n and g_n is catalogued as a concept in Singular Moduli and Class Invariants.

named later

Ramanujan Moonshine Context

Moonshine is a later field; the connection belongs to the afterlife of modular forms, not Ramanujan's own terminology.

named later

Quantum Modular Forms Context

Quantum modular forms are a modern development influenced by q-series and mock modular themes.