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Apr
28
awarded  Good Answer
Apr
25
comment Expressing Elliptic functions as ratio of $\wp$ and $\wp'$
What is the question?
Apr
25
comment Algebraic values of sine function
No, because of en.wikipedia.org/wiki/Lindemann%E2%80%93Weierstrass_theorem
Apr
24
comment If I have matrix A, what is difference between $det(A), det(A_n), det(A_{n+1})$?
What are $A_n, A_{n+1}$ and $A_{n+2}$? Without knowing that, your question makes no sense.
Apr
22
reviewed Approve Show the series $a_n/(1+a_n)$ converges absolutely
Apr
21
revised How do I transpose an ellipse function to stretch the ellipse into curved space?
edited tags
Apr
20
answered Weirestrass points in Principles of Algebraic Geometry.
Apr
19
comment Embedding Complex Tori in Projective Space
By an "embedding" in algebraic geometry one often means a closed immersion.
Apr
19
comment Determine $H(\mathbb{R, Q})$ and $H(\mathbb{R, Z})$
Singular homology I presume? What have you tried? Do you have a guess?
Apr
19
answered An automorphism that has no fixed points except for the identity and is its own inverse implies commutativity
Apr
18
revised Units of $\mathbb Z[X]/(X^n+1)$?
added 11 characters in body
Apr
18
comment Units of $\mathbb Z[X]/(X^n+1)$?
@Tal-Botvinnik Glad to see chess fans hanging out around here BTW. ;)
Apr
18
comment Units of $\mathbb Z[X]/(X^n+1)$?
@Tal-Botvinnik Sure. For instance your field contains $\mathbb Q(\sqrt 2)$ for $n>2$, and $1+\sqrt 2$ is a unit in $\mathbb Z[\sqrt 2 ]$.
Apr
18
answered Units of $\mathbb Z[X]/(X^n+1)$?
Apr
18
comment Rational sum of the $p$-adic series
@Santiago Exactly. And the series converges for $|x|<1$, so in particular for $x=p$.
Apr
18
answered Rational sum of the $p$-adic series
Apr
17
comment An algebraic element $a$ in a field extension $K/F$ satisfies $a^{q^m}=a$
Hint: The field $F(a)$ is also finite, with order $q^m$ for some $m$.
Apr
14
comment $p$ adic modular forms and wide open neighbourhood (e.g. Coleman primitive): is it possible to obtain a holomorphic function?
I don't think so. The Coleman primitive is something truly p-adic.
Apr
14
comment $p$ adic modular forms and wide open neighbourhood (e.g. Coleman primitive): is it possible to obtain a holomorphic function?
So if I understand correctly, you're asking whether $p$-adic modular forms can be viewed as complex-analytic sections of the usual sheaf? Generally no, not unless the form is classical to begin with. To begin with you run into the problem that the $q$-expansion of a $p$-adic modular form is allowed to have $p$-adic coefficients, which doesn't make all that much sense over $\mathbb C$.
Apr
5
comment When is $BG$ a topological group?
@Qiaochu Ah. Well then I'm out of my depth. :)