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What is the importance of RH for $L$-functions of modular forms?

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#number-theory #modular-forms #l-functions
99
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Why are Rankin-Selberg convolutions different when $n=m$?

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#number-theory #automorphic-forms #l-functions
101
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Davenport, the usage of mean value theorem

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#analytic-number-theory #l-functions
30
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Why are L-factors polynomials in $q^{-s}$?

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#number-theory #l-functions
92
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Whittaker at Archimedean Test vector

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#representation-theory #automorphic-forms #l-functions
149
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Approximate functional equation of Selberg Class L-functions

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#analytic-number-theory #l-functions
108
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A question on the Riemann zeta function

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#number-theory #prime-numbers #analytic-number-theory #riemann-zeta #l-functions
101
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One identity about Eisenstein series and L functions of modular forms

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#modular-forms #l-functions
60
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Proving that order of pole of L-function is greater than or equal to 0 by Artin's Reciprocity Law

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#algebraic-number-theory #l-functions
152
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What is the relationship between these two versions of BSD?

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#number-theory #elliptic-curves #l-functions
101
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Interpretation of order of vanishing of Modular L-function

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#analytic-number-theory #elliptic-curves #modular-forms #l-functions
115
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Root Number is root of unity

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#number-theory #roots-of-unity #l-functions
112
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Do $L$-functions of varieties over function fields have analytic continuation / functional equations?

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#algebraic-geometry #function-fields #l-functions
140
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Positivity of partial Dirichlet series for a quadratic character?

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#analytic-number-theory #dirichlet-series #l-functions #dirichlet-character
287
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Selberg Class- Ramanujan Conjecture

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#number-theory #analytic-number-theory #l-functions

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