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Reference for $L$-functions of curves

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#reference-request #algebraic-curves #curves #l-functions
179
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Understanding a result of Serre about zeros of $x^3 - x - 1$ in $\mathbb{F}_p$

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#number-theory #proof-explanation #modular-forms #l-functions
294
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Analytic continuation of twisted Hecke $L$-function

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#analytic-number-theory #l-functions
321
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Why does the determinant come in for Artin L-Functions?

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#number-theory #representation-theory #algebraic-number-theory #l-functions
834
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Why does the Dedekind zeta function of a number field have a pole at $s=1$?

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#number-theory #zeta-functions #l-functions
90
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Artin $L$-functions and abelianization

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#algebraic-number-theory #analytic-number-theory #galois-representations #l-functions
243
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Simplest nontrivial example of an L-function yielding information about a Diophantine equation

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#diophantine-equations #l-functions
177
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Upper bound on zero multiplicity of Dirichlet $L$-functions

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#complex-analysis #l-functions
2k
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Roadmap to Iwasawa Theory

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#number-theory #algebraic-number-theory #p-adic-number-theory #l-functions
82
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The $\heartsuit$ operator on $\mathcal{L}^2(SL_2(\mathbb{Z})\backslash \mathbb{H})$

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#analytic-number-theory #modular-forms #l-functions
230
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Rankin-Selberg convolution : normalization issues

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#number-theory #l-functions
417
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Convexity Bound of Rankin-Selberg L-Function

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#convex-analysis #analytic-number-theory #modular-forms #l-functions
188
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Uniqueness of $L$-series of cusp forms

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#modular-forms #mellin-transform #l-functions
185
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Is the conductor of an L-function F the absolute value of the discriminant ofsome number field related to F?

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#number-theory #prime-numbers #algebraic-number-theory #l-functions
149
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Modular parametrization from equality of $L$-functions

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#reference-request #elliptic-curves #modular-forms #arithmetic-geometry #l-functions

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