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Hypergeometric functions and modular forms

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181
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Jacobi Forms, Monstrous Moonshine, Hauptmodules: Relation between Specialization of q-Expansion

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the corresponding modular form of an elliptic curve

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#elliptic-curves #galois-representations #modular-forms #elliptic-modular-form
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Why is $\left(\frac{\eta(\tau)}{\eta(2\tau)}\right)^{24} = \frac{1}{q \, \Pi_{n\geq1}(1+q^n)^{24}}$

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#elliptic-functions #modular-forms #elliptic-modular-form
118
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What is the space of weakly holomorphic modular forms of weight $\frac12$?

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#modular-forms #modular-function #elliptic-modular-form
71
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Ramanujan Identity Proof

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#sequences-and-series #q-series #elliptic-modular-form
306
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Closed form for $\sum_{n=1}^\infty \frac{1}{n(e^{2 n \pi}-1)}$

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#summation #infinite-product #theta-functions #ramanujan-summation #elliptic-modular-form
503
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On Ramanujan's fastest series.

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#elliptic-integrals #elliptic-functions #elliptic-modular-form
166
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On definition of modular forms

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#fourier-series #elliptic-functions #modular-forms #elliptic-modular-form
465
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Computing Eisenstein series and modular discriminant

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#computational-mathematics #elliptic-functions #modular-forms #elliptic-modular-form
1.2k
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Transformations between the fundamental domains of Eisenstein series

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184
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Algebraic singular moduli

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112
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Action of quotient of congruence subgroups on moduli space

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#elliptic-curves #moduli-space #modular-forms #elliptic-modular-form
252
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Meaning of modular form over finite index subgroups of modular group

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#analytic-number-theory #riemann-surfaces #modular-forms #elliptic-modular-form
160
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Modularity of Ramanujan-Sato series

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#number-theory #modular-arithmetic #modular-forms #q-series #elliptic-modular-form

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