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What is a Dirichlet character?
- A Dirichlet character is equivalent to a group homomorphism \begin{align*} \chi:(\mathbb{Z} / N)^{\times} \rightarrow \mathbb{C}^{\times} .\end{align*}
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What is a Dirichlet L function?
- Definition of a Dirichlet \(L{\hbox{-}}\)function:
\begin{align*} L(s ; \chi):=\sum_{n=1}^{\infty} \frac{\chi(n)}{n^{s}} =\prod_{p} \qty{ 1-\chi(p) p^{-s} }^{-1} .\end{align*}
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How is a Bernoulii number defined? Generalized Bernoulli numbers:
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What is the conductor of a Dirichlet character?
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What is the J-homomorphism?
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How is it defined in terms of loop space?
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How is it defined in terms of framed cobordism? What is a framing?
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How is it defined in terms ofThom space? What is a Thom space?
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What is a complex oriented cohomology theory?
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What is a uniformizer?
- Uniformizer \(\pi\): can think of this as a generator of a maximal ideal.