Contribution Category

Mock Theta Functions

Ramanujan's final q-series and their later harmonic-Maass-form interpretation.

13 catalogue entries

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

Mock Theta Functions | 1919-1920

Mock Theta Functions

f (q) = n = 0 \sum \infty \frac{q ^{n^{2}}}{( - q ; q ) _{n}^{2}}

Mock Theta Functions is catalogued as a function in Mock Theta Functions.

Level: Advanced
Source: Lost Notebook
Status: source-supplied

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Mock Theta Functions

Third-Order Mock Theta Functions

f (q) = 1 + n = 1 \sum \infty \frac{q ^{n^{2}}}{( 1 + q ) ^{2} \dots ( 1 + q ^{n} ) ^{2}}

Third-Order Mock Theta Functions is catalogued as a function in Mock Theta Functions.

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

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Mock Theta Functions

Fifth-Order Mock Theta Functions

Contribution family

Fifth-Order Mock Theta Functions is catalogued as a function in Mock Theta Functions.

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

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Mock Theta Functions

Seventh-Order Mock Theta Functions

Contribution family

Seventh-Order Mock Theta Functions is catalogued as a function in Mock Theta Functions.

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

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Mock Theta Functions

Tenth-Order Mock Theta Functions

Contribution family

Tenth-Order Mock Theta Functions is catalogued as a function in Mock Theta Functions.

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

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Mock Theta Functions

Radial-Limit Behaviour

Contribution family

Radial-Limit Behaviour is catalogued as a concept in Mock Theta Functions.

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

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Mock Theta Functions

Connection with Harmonic Maass Forms

Contribution family

Connection with Harmonic Maass Forms is catalogued as a concept in Mock Theta Functions.

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

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Mock Theta Functions

Mock Theta Function f_0(q)

Contribution family

Mock Theta Function f_0(q) is catalogued as a function in Mock Theta Functions.

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

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Mock Theta Functions

Mock Theta Function f_1(q)

Contribution family

Mock Theta Function f_1(q) is catalogued as a function in Mock Theta Functions.

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

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Mock Theta Functions

Mock Theta Function omega(q)

Contribution family

Mock Theta Function omega(q) is catalogued as a function in Mock Theta Functions.

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

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Mock Theta Functions

Mock Theta Function nu(q)

Contribution family

Mock Theta Function nu(q) is catalogued as a function in Mock Theta Functions.

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

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Mock Theta Functions

Transformation Behaviour of Mock Theta Functions

Contribution family

Transformation Behaviour of Mock Theta Functions is catalogued as a concept in Mock Theta Functions.

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

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Mock Theta Functions

Asymptotics of Mock Theta Functions

Contribution family

Asymptotics of Mock Theta Functions is catalogued as a contribution family in Mock Theta Functions.

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

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