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showing that this theta series is holomorphic

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#number-theory #modular-forms
298
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Question on Relationship between Modular Forms and Dirichlet L-Series

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#number-theory #modular-forms #dirichlet-series
77
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How is the parity condition determined for modular forms corresponding to $L(s, \chi_1) L(s, \chi_2)$?

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#number-theory #modular-forms #dirichlet-series #parity
89
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Question on conjectured formula for modular discriminant $\Delta(\tau)$ evaluated at $\tau=i\,\sigma$

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#sequences-and-series #number-theory #modular-forms
85
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Raising the level of a weakly holomorphic modular form

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#number-theory #modular-forms
211
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Cusp form for $\text{SL}_2(\mathbb{Z})$ attaining a maximum on $\mathcal{D}=\{z\in\mathbb{H}\colon|\text{Re}(z)|\leq\frac12,\|z\|\geq 1\}$

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#complex-analysis #fourier-analysis #maxima-minima #modular-forms
328
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Umemura's Theorem on Solving any Algebraic Polynomial Equation

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#complex-analysis #polynomials #modular-forms #elliptic-integrals #theta-functions
318
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modular curves over $\mathbb{C}$ as Riemann surfaces

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#algebraic-geometry #elliptic-curves #riemann-surfaces #modular-forms
155
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References for modular forms

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#reference-request #modular-forms
117
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Level $8$ modular form eta-quotient discrepancy - vanish of order $1/2$?

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#number-theory #modular-forms #dedekind-eta-function
86
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Dedekind eta function at cusp other than infinity

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#number-theory #modular-forms #dedekind-eta-function
150
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Dimension of $M_2(\Gamma_0(14))$

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#number-theory #modular-forms
133
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How to prove that $E_6(e^{\frac{2\pi i}{3}})\ne 0$ where $E_6$ is the Eisenstein series of weight 6?

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#complex-analysis #complex-numbers #modular-forms #modular-function
502
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Definition of Diamond Operator

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#modular-forms #hecke-algebras
92
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how to find the dual basis

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#number-theory #algebraic-number-theory #modular-forms

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