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Exercise 12 in Ch. 1 of Apostol's Modular Functions and Dirichlet Series - How to See The Vanishing of Eisenstein Series

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#complex-analysis #number-theory #modular-forms #elliptic-functions #modular-function
43
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Relation between number of cusps and the dimension of Eisenstein space

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#modular-forms
94
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Modular Forms and Hecke Operators

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#complex-analysis #modular-forms
28
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Square root of the automorphy factor for integral weight modular form

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#complex-analysis #modular-forms
25
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Action of the mapping class group for twice punctured torus

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#riemann-surfaces #modular-forms
65
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Fourier Expansion of modular form : Constant term using the other ones

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#modular-forms #l-functions
268
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A certain conjectured criterion for restricted partitions

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#number-theory #diophantine-equations #modular-forms #integer-partitions #q-series
77
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Why are these weight 3/2 Forms Eigenforms for the $T(p^2)$

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#number-theory #modular-forms
40
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Reference for classical Ramanujan conjecture for number fields

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#number-theory #reference-request #modular-forms #automorphic-forms
119
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Computing coefficients of $E_4^n$

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#number-theory #modular-forms #computational-number-theory
29
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Making sense of rational powers of the $j$-invariant

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#complex-analysis #modular-forms #branch-cuts
318
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Numbers with a unique partition as a sum of two squares

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#quadratic-forms #modular-forms #conjectures #sums-of-squares #q-series
48
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Definition of CM form

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#modular-arithmetic #analytic-number-theory #modular-forms
42
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Riemann Surfaces Associated to Subgroups of the Modular Group

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#algebraic-topology #manifolds #riemann-surfaces #modular-forms #modular-group
54
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A modular form is holomorphic at $\infty$ means

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#modular-forms

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