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Is $ \pi\mapsto(s\mapsto L(s,\pi)) $ bijective?

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#number-theory #automorphic-forms #l-functions
87
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Series of reciprocal of integers

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#sequences-and-series #l-functions
1.3k
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Evaluating Dirichlet $L$-functions at $s=1$

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#number-theory #closed-form #l-functions
64
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Permutation group of Satake parameters

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#number-theory #l-functions #euler-product
321
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Determining elliptic curve analytic rank even/odd

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#number-theory #elliptic-curves #l-functions
98
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Asymptotic's for Fourier coefficients of $GL(3)$ Maass forms

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#analytic-number-theory #modular-forms #automorphic-forms #l-functions #langlands-program
101
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Langlands L functions for groups over finite fields.

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#number-theory #algebraic-number-theory #l-functions #langlands-program
170
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Test vector for local zeta integral with ramified character

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#number-theory #modular-forms #automorphic-forms #l-functions
132
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Need reference for proof of functional equation for generalized L-functions

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#complex-analysis #riemann-zeta #l-functions
43
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Do the properties defining the Selberg class imply the distribution of real parts of non trivial zeros of an L-function is strongly unimodal?

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#analytic-number-theory #riemann-hypothesis #l-functions
277
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Proof of Chebotarev Density Theorem without Artin Reciprocity

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#number-theory #class-field-theory #l-functions
214
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Asymptotics for average of Fourier coefficients of cusp form

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#analytic-number-theory #modular-forms #l-functions
36
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Expression of the dirichlet coefficient of an L-series in terms of the Satake parameters

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#number-theory #reference-request #l-functions
132
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Gamma Function Integral Identity

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#complex-analysis #analytic-number-theory #gamma-function #l-functions
305
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Relationship between $\theta$ functions and number fields.

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#number-theory #abelian-varieties #theta-functions #l-functions

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