Contribution Category

Ramanujan Theta Functions

General theta functions, special theta functions and representation formulas.

12 catalogue entries

12 entries shown from 177 detailed discovery and contribution-family records.

Ramanujan's General Theta Function

f (a, b) = n = - \infty \sum \infty a^{n (n + 1) /2} b^{n (n - 1) /2}

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

Level: Advanced
Source: Source catalogue
Status: needs-review

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Ramanujan Theta Functions

phi(q)

φ (q) = n = - \infty \sum \infty q^{n^{2}}

phi(q) is catalogued as a function in Ramanujan Theta Functions.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Ramanujan Theta Functions

psi(q)

ψ (q) = n = 0 \sum \infty q^{n (n + 1) /2}

psi(q) is catalogued as a function in Ramanujan Theta Functions.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Ramanujan Theta Functions

f(-q)

f (- q) = n = 1 \prod \infty (1 - q^{n})

f(-q) is catalogued as a function in Ramanujan Theta Functions.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Ramanujan Theta Functions

Theta Addition and Subtraction Formulas

Contribution family

Theta Addition and Subtraction Formulas is catalogued as a identity in Ramanujan Theta Functions.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Ramanujan Theta Functions

Theta Product Representations

f (a, b) = (- a; ab)_{\infty} (- b; ab)_{\infty} (ab; ab)_{\infty}

Theta Product Representations is catalogued as a identity in Ramanujan Theta Functions.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Ramanujan Theta Functions

Theta Dissection Formulas

Contribution family

Theta Dissection Formulas is catalogued as a method in Ramanujan Theta Functions.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Ramanujan Theta Functions

Theta-Function Quotients

Contribution family

Theta-Function Quotients is catalogued as a formula in Ramanujan Theta Functions.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Ramanujan Theta Functions

Ramanujan Theta Identities

Contribution family

Ramanujan Theta Identities is catalogued as a identity in Ramanujan Theta Functions.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Ramanujan Theta Functions

Theta-Function Modular Transformations

Contribution family

Theta-Function Modular Transformations is catalogued as a method in Ramanujan Theta Functions.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Ramanujan Theta Functions

Theta-Function Representation Formulas

Contribution family

Theta-Function Representation Formulas is catalogued as a formula in Ramanujan Theta Functions.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Ramanujan Theta Functions

Jacobi Triple Product Context

f (a, b) = (- a; ab)_{\infty} (- b; ab)_{\infty} (ab; ab)_{\infty}

Jacobi Triple Product Context is catalogued as a concept in Ramanujan Theta Functions.

Level: Advanced
Source: Source catalogue
Status: needs-review

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