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15
67
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How to induce a morphism between compact sheaf cohomology groups from the map of two space?

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#homology-cohomology #modular-forms #l-functions
111
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Normalisation of $L$-function for classical modular forms and automorphic representations

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#modular-forms #automorphic-forms #l-functions
78
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Definition $L$ function of elliptic curve

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#algebraic-geometry #representation-theory #arithmetic-geometry #abelian-varieties #l-functions
119
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On the Iwasawa Algebra

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#p-adic-number-theory #l-functions #topological-rings
854
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What's the idea of Dirichlet’s Theorem on Arithmetic Progressions proof?

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#number-theory #prime-numbers #arithmetic-progressions #l-functions #dirichlet-character
64
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Fourier Expansion of modular form : Constant term using the other ones

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#modular-forms #l-functions
50
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The p-adic value of Dirichlet L-function at 1

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#p-adic-number-theory #l-functions #dirichlet-character
29
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How to understand $x^{-1}$ acts on the mahler transform over $\mathbb{Z}_p$

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#p-adic-number-theory #l-functions
92
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Arithmetic meaning of certain periods of modular symbols of elliptic curves

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#elliptic-curves #modular-forms #l-functions
75
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Converting polylogarithms to Dirichlet L functions

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#zeta-functions #polylogarithm #l-functions #dirichlet-character
101
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Residue of a Dirichlet Series at $s=1$

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#number-theory #analytic-number-theory #laurent-series #dirichlet-series #l-functions
56
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Bounds for Dirichlet $L$-functions on the critical line

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#analytic-number-theory #upper-lower-bounds #l-functions
110
Views

Would c != 0 actually disprove the Birch and Swinnerton-Dyre conjecture rather than prove it?

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#number-theory #taylor-expansion #analytic-number-theory #elliptic-curves #l-functions
83
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The equivariant BSD conjecture (and the $\rho$-isotypical component)

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#number-theory #elliptic-curves #arithmetic-geometry #galois-representations #l-functions
135
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Show that $\sum_{n\leq x}\frac{f(n)}{\sqrt n}=2L(1,\chi)\sqrt{x}+O(1)$, where $f(n)=\sum_{d\vert n}\chi(n)$.

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#number-theory #analytic-number-theory #l-functions #dirichlet-character

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