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15
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Interesting multiplicative Ramanujan-like q-expansions

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#generating-functions #infinite-product #modular-forms #multiplicative-function #ramanujan-summation
1.4k
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finding the generators of a matrix in $SL_2(\mathbb{Z})$

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#matrices #modular-forms
60
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Is $f(z)=G_2(z)- \frac{ \pi} {Im(z)}$ a modular form?

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#number-theory #modular-forms
170
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On the intersection of congruence subgroups and the relationship to cusps forms

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#group-theory #modular-forms
232
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Modular Forms: With special congruences!

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#number-theory #modular-arithmetic #fourier-transform #modular-forms #arithmetic-functions
397
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Modular function for $SL_2(\mathbb{Z})$ is a field

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#modular-forms #modular-function
165
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Showing $E_4(z)$ and $E_6(z)$ are algebraically independent over $\mathbb{C}$

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#modular-forms #modular-function
852
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Basis for Modular Forms over Congruence Subgroup

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#modular-forms
388
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How to write Poincaré Series for $\Gamma_0(4)$?

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#group-theory #modular-forms #automorphic-forms
219
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Euler product for $ \eta(z)^2 \eta(2z) \eta(4z) \eta(8z)^2 $

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#number-theory #modular-forms #dirichlet-series #l-functions #euler-product
474
Views

Showing the cusps in $\Gamma_1(4)$: [$\infty$], [0], [1/2] equal $\mathbb{P_1(Q)}$

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#modular-forms
466
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Computing Eisenstein series and modular discriminant

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#computational-mathematics #elliptic-functions #modular-forms #elliptic-modular-form
1.4k
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Direct proof that there is no Modular form of weight $2$ for $SL_2(\mathbb{Z})$.

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#complex-analysis #modular-forms
1.2k
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Transformations between the fundamental domains of Eisenstein series

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#modular-forms #elliptic-functions #automorphic-forms #elliptic-modular-form
144
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No weight $2$ newforms on $\Gamma_0(4)$?

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#modular-forms #theta-functions

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