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Undergraduate Introduction to Modular Forms

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#number-theory #reference-request #modular-forms
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Identities of Hecke operators

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#number-theory #analytic-number-theory #modular-forms
260
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History of the Coefficients of Elliptic Curves -- Why $a_6$?

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#notation #math-history #elliptic-curves #modular-forms
79
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$(\sigma_0^{-1} SL(2,\mathbb{Z}) \sigma) \cap SL(2, \mathbb{Z})$ is a right coset of $\Gamma_0(m)$ in $SL(2, \mathbb{Z})$

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#linear-algebra #abstract-algebra #matrices #modular-forms
76
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Operations with $\text{SL}_2(\mathbb{Z})$

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#complex-analysis #analysis #matrices #modular-forms
308
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Eisenstein series is a modular form

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#complex-analysis #modular-forms
351
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Serre's Modularity Conjecture -- Weight

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#number-theory #algebraic-number-theory #modular-forms #galois-representations #kummer-theory
329
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Decomposition of modular group elements

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#representation-theory #hyperbolic-geometry #modular-forms #continued-fractions #modular-group
262
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Jacobi Form and its Fourier expansion

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#number-theory #modular-arithmetic #fourier-series #modular-forms #arithmetic-geometry
1.4k
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q-expansion principle for modular forms

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#number-theory #modular-forms
191
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Transformation property for classical Siegel modular forms of weight 2

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#number-theory #analytic-number-theory #modular-forms #several-complex-variables
121
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Congruences of weights of modular forms modulo primes

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#number-theory #analytic-number-theory #modular-forms
69
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Modular Forms Over Quadratic Number Fields

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#algebraic-number-theory #modular-forms #class-field-theory
61
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$\dim \mathcal{S}_k(\Gamma_0(N))$

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#complex-analysis #number-theory #vector-spaces #modular-forms
159
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Identities for L-series and Euler product

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#number-theory #analytic-number-theory #modular-forms #euler-product #l-functions

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