List questions from formal-power-series

Published on 09 Apr 2026 - 17:35

107

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Given finite subset of $\mathbb C[[X]]$, does there exist a ring automorphism of $\mathbb C[[X]]$, fixing $A$, but not fixing $\mathbb C[X]$ set wise?

Published on 14 Apr 2026 - 20:29

104

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Given finite subset of $\mathbb C[[X]]$, is there a ring automorphism of $\mathbb C[[X]]$, fixing $A$, but not fixing $\mathbb C$ set wise?

Published on 15 Apr 2026 - 3:29

292

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Is every algebraically closed subfield of $\mathbb C[[X]]$ contained in $\mathbb C$?

Published on 29 Apr 2026 - 12:57

239

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D-finite function?

Published on 30 Apr 2026 - 9:50

200

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To show two formal power series equal

Published on 07 May 2026 - 7:41

44

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Can $A[[X]]$ be a finitely generated $A$-algebra?

Published on 09 Apr 2026 - 12:02

193

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Zeros of power series with polynomially bounded integer coefficients

Published on 11 Apr 2026 - 19:27

179

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Which formal power series can be expressed as a rational fraction?

Published on 14 Apr 2026 - 20:51

1.5k

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Power series and partial fractions

Published on 09 Apr 2026 - 7:52

340

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Does $R[[x]] \cong S[[x]]$ imply $R\cong S$

Published on 11 Apr 2026 - 23:59

43

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Can a formal group over Z have different height at different primes?

Published on 08 Apr 2026 - 19:11

596

Views

Operations on formal power series in two variables.

Published on 15 Apr 2026 - 7:27

149

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Power rule of exponents for formal power series

Published on 26 Mar 2026 - 12:30

131

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Formal power series: $F_i(x)$ converges if and only if $\lim_{i\to\infty}deg(F_{i+1}(x)- F_i(x))=\infty.$

Published on 17 Apr 2026 - 11:11

List Question

Are $\mathbb C$ , $\mathbb C[X]$ definable in $\mathbb C[[X]]$?

Given finite subset of $\mathbb C[[X]]$, does there exist a ring automorphism of $\mathbb C[[X]]$, fixing $A$, but not fixing $\mathbb C[X]$ set wise?

Given finite subset of $\mathbb C[[X]]$, is there a ring automorphism of $\mathbb C[[X]]$, fixing $A$, but not fixing $\mathbb C$ set wise?

Is every algebraically closed subfield of $\mathbb C[[X]]$ contained in $\mathbb C$?

D-finite function?

To show two formal power series equal

Can $A[[X]]$ be a finitely generated $A$-algebra?

Zeros of power series with polynomially bounded integer coefficients

Which formal power series can be expressed as a rational fraction?

Power series and partial fractions

Does $R[[x]] \cong S[[x]]$ imply $R\cong S$

Can a formal group over Z have different height at different primes?

Operations on formal power series in two variables.

Power rule of exponents for formal power series

Formal power series: $F_i(x)$ converges if and only if $\lim_{i\to\infty}deg(F_{i+1}(x)- F_i(x))=\infty.$

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