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Weight zero modular functions and the J-invarient

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#modular-forms #modular-function
488
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If two positively oriented bases define the same lattice, then there is a matrix in $\operatorname{SL}(2,\mathbb{Z})$ acting on this basis

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#abstract-algebra #complex-analysis #number-theory #elliptic-curves #modular-forms
74
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Relation involving pairing on polynomial vector space

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#polynomials #group-actions #modular-forms
153
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Fourier expansion of multiplicative analogue of Hecke operator

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#complex-analysis #modular-forms #hecke-characters
207
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Factorization of $\Delta$-function

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#complex-analysis #modular-forms
571
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Hecke operators self-adjoint with respect to Petersson inner product

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#inner-products #modular-forms #hecke-algebras
1.4k
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How to show that cusp of congruence subgroup $\Gamma_0(4)$ is $0,\frac{1}{2},\infty$？

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#abstract-algebra #number-theory #algebraic-number-theory #modular-forms #elliptic-functions
839
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Why does the coefficient field of a normalized Hecke form a number field?

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#number-theory #modular-forms
666
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Good Books on Complex Multiplication (on Elliptic Curves)

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#complex-analysis #algebraic-number-theory #analytic-number-theory #elliptic-curves #modular-forms
528
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How to prove that the values of Eisenstein Series $E_2$ are algebraic integers?

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#complex-analysis #algebraic-number-theory #analytic-number-theory #elliptic-curves #modular-forms
166
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Meromorphic functions on $X(1)$ are rational functions of $j$

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#complex-analysis #number-theory #modular-forms #automorphic-forms
334
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Reference request: $p$-adic modular forms

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#abstract-algebra #number-theory #reference-request #p-adic-number-theory #modular-forms
434
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Fourier expansion of Eisenstein series

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#modular-forms
76
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Question on an identity the representation of the Riemann Zeta function using Bernoulli numbers

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#complex-analysis #modular-forms
1.3k
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*WHY* are half-integral weight modular forms defined on congruence subgroups of level 4N?

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#definition #modular-forms #motivation

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