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Spectral theory: tempered or not tempered?

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#spectral-theory #automorphic-forms
179
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Do all cuspidal automorphic representations of $\operatorname{GL}_2(\mathbb A_{\mathbb Q})$ come from Maass or holomorphic cusp forms?

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#number-theory #modular-forms #automorphic-forms #langlands-program
103
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Connected components of homogeneous space attached to GL_2 over number fields

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#general-topology #algebraic-geometry #field-theory #algebraic-number-theory #automorphic-forms
68
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Real parts of non-trivial zeros of L-functions

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#number-theory #automorphic-forms #l-functions
207
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Why is the oldform map injective?

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#number-theory #modular-forms #automorphic-forms #adeles
249
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Fourier coefficients of Eisenstein series

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#spectral-theory #harmonic-analysis #automorphic-forms
123
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Reference for the constant term of Eisenstein series on congruence/discrete subgroups

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#number-theory #reference-request #representation-theory #automorphic-forms
164
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Variant of Peter-Weyl theorem

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#number-theory #representation-theory #hilbert-spaces #lie-groups #automorphic-forms
58
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Hecke operator on Jacobi forms

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#fourier-analysis #automorphic-forms
5.1k
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Why are $L$-functions a big deal?

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#complex-analysis #number-theory #analytic-number-theory #modular-forms #automorphic-forms
536
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How to give a "quick proof" of properties of the Hecke-operators?

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#complex-analysis #number-theory #analytic-number-theory #modular-forms #automorphic-forms
82
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Explanation of a deduction in "On $L^{\infty}$ norms of holomorphic cusp forms"

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#number-theory #analytic-number-theory #modular-forms #automorphic-forms
81
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Is the twist of a primitive L-function itself primitive?

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#number-theory #analytic-number-theory #automorphic-forms
475
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An error in Gelbart's "Automorphic forms on adele groups"?

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#number-theory #representation-theory #modular-forms #automorphic-forms
461
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Functional equation of Rankin-Selberg zeta function

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#number-theory #analytic-number-theory #modular-forms #automorphic-forms #l-functions

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