Contribution Category

Eisenstein and Modular Series

Eisenstein series, modular series and differential equations.

7 catalogue entries

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

E_{2} (q) = 1 - 24 n = 1 \sum \infty σ_{1} (n) q^{n}

Eisenstein Series E2 is catalogued as a series in Eisenstein and Modular Series.

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Eisenstein and Modular Series

E_{4} (q) = 1 + 240 n = 1 \sum \infty σ_{3} (n) q^{n}

Eisenstein Series E4 is catalogued as a series in Eisenstein and Modular Series.

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Eisenstein and Modular Series

E_{6} (q) = 1 - 504 n = 1 \sum \infty σ_{5} (n) q^{n}

Eisenstein Series E6 is catalogued as a series in Eisenstein and Modular Series.

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Eisenstein and Modular Series

q \frac{d E _{2}}{d q} = \frac{E _{2}^{2} - E _{4}}{12}

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

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Eisenstein and Modular Series

Contribution family

Eisenstein-Series Congruences is catalogued as a identity in Eisenstein and Modular Series.

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Eisenstein and Modular Series

Contribution family

Quasimodular Transformations of E2 is catalogued as a concept in Eisenstein and Modular Series.

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Eisenstein and Modular Series

q \frac{d E _{4}}{d q} = \frac{E _{2} E _{4} - E _{6}}{3}

Ramanujan's Modular Differential System is catalogued as a formula in Eisenstein and Modular Series.

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