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More general lattices on the complex plane

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#abstract-algebra #group-theory #modular-forms #integer-lattices #lattices-in-lie-groups
266
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Relationship between the Picard-Fuchs differential equation and the hypergeometric differential equation

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#ordinary-differential-equations #elliptic-curves #modular-forms #hypergeometric-function #modular-function
172
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Relation between the elliptic Lambda function and j-invariant.

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#special-functions #modular-forms
57
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Modular forms half integral weight: Change of multiplicatorsystem for $f \mapsto f \vert N^{-1}$

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#complex-analysis #analytic-functions #modular-forms
64
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modular forms of half-integral weight: order, fourier series.

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#complex-analysis #fourier-series #modular-forms
303
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Identity between $q$-series

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#sequences-and-series #modular-forms #q-series
170
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On definition of modular forms

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#fourier-series #elliptic-functions #modular-forms #elliptic-modular-form
112
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Modular forms of infinite level

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#number-theory #elliptic-curves #modular-forms
79
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How does $SL(2,\Bbb{Z})$ act on $q$-series?

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#modular-forms
1.1k
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How to show that $ \int_0^\infty \frac{1}{\sqrt {t(t^2+21t+112)}} dt=\frac{1}{4\pi\sqrt {7}}\Gamma(\frac{1}{7})\Gamma(\frac{2}{7})\Gamma(\frac{4}{7})$

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#definite-integrals #algebraic-number-theory #elliptic-curves #modular-forms
97
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Basic Question about Principal Congruence Subgroups

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#group-theory #modular-forms
189
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conjectured relations of mock theta functions of order $3$

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#sequences-and-series #modular-forms #conjectures #theta-functions #q-series
775
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Modular transformation in terms of generators

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#theta-functions #modular-forms
167
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Why does this function have an analytic continuation and how can we compute it?

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#complex-analysis #modular-forms #continued-fractions
98
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Do these summations satisfy modular properties

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#sequences-and-series #modular-forms #symmetric-polynomials #theta-functions

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