Timeline for A confusion about power series and p-adic measures

Current License: CC BY-SA 4.0

15 events

when toggle format	what		by	license	comment
May 12, 2022 at 19:31	vote	accept	Adithya Chakravarthy
May 12, 2022 at 16:12	answer	added	KConrad		timeline score: 6
May 12, 2022 at 14:48	comment	added	Adithya Chakravarthy		@KConrad fixed.
May 12, 2022 at 14:48	history	edited	Adithya Chakravarthy	CC BY-SA 4.0	edited body
May 12, 2022 at 14:38	comment	added	KConrad		You still have a typo, writing $(1 + T^a) - 1$, which is just $T^a$, instead of $(1+T)^a-1$. The expression $T^a$ for general $a \in \mathbf Z_p$ is meaningless, but $(1+T)^a - 1 = \sum_{n \geq 1} \binom{a}{n}T^n$ is a legitimate power series in $\mathbf Z_p[[T]]$ for $a \in \mathbf Z_p$.
May 12, 2022 at 14:35	history	edited	Adithya Chakravarthy	CC BY-SA 4.0	deleted 20 characters in body
May 12, 2022 at 14:34	comment	added	Adithya Chakravarthy		@efs, yes that was a typo, sorry. And thank you - "composition of power series" was the keyword I needed to make sense of this
May 12, 2022 at 6:07	comment	added	KConrad		You don't say in your question what $\alpha \circ (a)$ means. Perhaps the result you ask about is, up to some normalization, essentially Theorem 1.2 in Chapter 4 of Lang's Cyclotomic Fields I and II.
May 12, 2022 at 5:26	review	Close votes
May 21, 2022 at 3:02
May 12, 2022 at 5:06	comment	added	abx		The text you quote does not appear on p. 16, nor on the neighboring pages.
May 12, 2022 at 5:01	comment	added	efs		Anyway, you can always formally take the composition $F(G(T))$ of two power series $F(T)$ and $G(T)=T+\cdots$.
May 12, 2022 at 4:56	comment	added	efs		Are you sure it isn't $(1+T)^a-1$?
May 12, 2022 at 4:43	history	edited	Adithya Chakravarthy	CC BY-SA 4.0	deleted 15 characters in body
May 12, 2022 at 4:21	history	edited	Adithya Chakravarthy	CC BY-SA 4.0	added 48 characters in body
May 12, 2022 at 4:04	history	asked	Adithya Chakravarthy	CC BY-SA 4.0