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Volume of first cohomology of arithmetic complex

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#algebraic-number-theory #analytic-number-theory #zeta-functions #class-field-theory #adeles
39
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$\Bbb A_K'$ is a one dimensional $\Bbb A_K$ module

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#algebraic-number-theory #harmonic-analysis #adeles
170
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p-adic and adelic balls: volume formulae!

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#p-adic-number-theory #spheres #adeles
134
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How can we identify the modular curve $X_1(N)$ with $\textrm{GL}_2(\mathbb{Q}) \setminus \textrm{GL}_2(\mathbb{A})/K_{\mathbb{R}}K_f$?

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#number-theory #algebraic-groups #modular-forms #adeles
147
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Can we extend the theta function $\theta(z)$ to p-adic numbers $\mathbb{Z}_p$?

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#p-adic-number-theory #theta-functions #adeles
165
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How to interpret the symbol $L( \frac{1}{2}, \pi \times \chi)$?

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#modular-forms #l-functions #adeles
249
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Topology on the Schwartz space over local fields and over the adeles

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#number-theory #fourier-analysis #limits-colimits #schwartz-space #adeles
105
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Convergence and p-adic numbers

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#number-theory #p-adic-number-theory #adeles
183
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understanding a step in proof of strong approximation for $SL_2$

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#number-theory #topological-groups #adeles
314
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Topology on the idele group.

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#general-topology #number-theory #algebraic-number-theory #adeles
358
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What is the Real Prime?

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#number-theory #prime-numbers #p-adic-number-theory #adeles
60
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Automorphisms of the adeles of $\mathbb{Q}$

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#automorphism-group #adeles
158
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Finding the Riemann $\zeta$ function by adelic integration

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#integration #number-theory #adeles
42
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Prove that $I_K/ \overline{K^*U}$ is totally disconnected.

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#algebraic-number-theory #topological-groups #class-field-theory #adeles
39
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Finiteness of the volume $G(k) \backslash G(\mathbb A)^1$ from that of $G(k) Z(\mathbb A) \backslash G(\mathbb A)$

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#algebraic-groups #reductive-groups #adeles

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