Question

$\log(1＋x)∈\mathbb{Z}_p[[X]]$ can be expressed as infinite product

score 92 · Answer 1 · 2022-07-05 19:36:41

92

Views

$\log(1＋x)∈\mathbb{Z}_p[[X]]$ can be expressed as infinite product

Published on 05 Jul 2022 - 19:36

score 141 · Answer 2 · 2026-03-26 21:27:18

141

Views

Borel summation of a divergent series as the best estimate of a function

Published on 26 Mar 2026 - 21:27

score 48 · Answer 3 · 2022-07-14 22:25:20

48

Views

Coefficients in Gaussian polynomials

Published on 14 Jul 2022 - 22:25

score 38 · Answer 4 · 2022-07-15 22:56:15

38

Views

The exponential generating functions are a ring?

Published on 15 Jul 2022 - 22:56

score 22 · Answer 5 · 2022-07-22 08:19:20

22

Views

Rewrite power expansion and finding coefficients of $ f(x) = \sum_{i=0}^{\infty} x^i = \sum_{l=0}^{\infty} b_l y^l$

Published on 22 Jul 2022 - 8:19

score 117 · Answer 6 · 2022-07-27 03:19:28

117

Views

Finding general expression of series expansion $A^{-1} = \sum_{n=0}^{\infty} (-1)^n a_n x^n$, $A = \sum_{n=0}^{\infty} a_n x^n$

Published on 27 Jul 2022 - 3:19

score 139 · Answer 7 · 2022-08-05 14:47:39

139

Views

Which function's power series has these coefficients of sums of inverse factorials?

Published on 05 Aug 2022 - 14:47

score 24 · Answer 8 · 2022-08-08 12:13:36

24

Views

Field of formal Laurent series as a colimit of fractions

Published on 08 Aug 2022 - 12:13

score 37 · Answer 9 · 2026-03-25 14:37:33

37

Views

Composition equations of power or formal series

Published on 25 Mar 2026 - 14:37

score 134 · Answer 10 · 2022-08-20 16:23:20

Prove for $\epsilon>0$ there are infinite $k$ so $\sqrt[k]{|z_1^k+z_2^k+\cdots+z_n^k|}>\max(|z_1|,|z_2|,...,|z_n|)-\epsilon$

score 107 · Answer 11 · 2022-09-01 21:40:39

107

Views

Is the ring of formal power series in $n$ variables the colimit of the powers of its maximal ideal

Published on 01 Sep 2022 - 21:40

score 251 · Answer 12 · 2026-02-23 16:50:37

251

Views

Combinatorial proof for a Catalan number identity with an alternating sum.

Published on 23 Feb 2026 - 16:50

score 38 · Answer 13 · 2022-09-26 09:04:08

38

Views

Similar result to a property of power series by P. Erdos et al

Published on 26 Sep 2022 - 9:04

score 583 · Answer 14 · 2022-09-28 18:45:29

583

Views

A formal power series such that $f(f(x))=x$

Published on 28 Sep 2022 - 18:45

score 94 · Answer 15 · 2022-10-02 16:13:08

94

Views

What are the squares in $\mathbb{R}((X))$?

Published on 02 Oct 2022 - 16:13

List Question

$\log(1＋x)∈\mathbb{Z}_p[[X]]$ can be expressed as infinite product

Borel summation of a divergent series as the best estimate of a function

Coefficients in Gaussian polynomials

The exponential generating functions are a ring?

Rewrite power expansion and finding coefficients of $ f(x) = \sum_{i=0}^{\infty} x^i = \sum_{l=0}^{\infty} b_l y^l$

Finding general expression of series expansion $A^{-1} = \sum_{n=0}^{\infty} (-1)^n a_n x^n$, $A = \sum_{n=0}^{\infty} a_n x^n$

Which function's power series has these coefficients of sums of inverse factorials?

Field of formal Laurent series as a colimit of fractions

Composition equations of power or formal series

Prove for $\epsilon>0$ there are infinite $k$ so $\sqrt[k]{|z_1^k+z_2^k+\cdots+z_n^k|}>\max(|z_1|,|z_2|,...,|z_n|)-\epsilon$

Is the ring of formal power series in $n$ variables the colimit of the powers of its maximal ideal

Combinatorial proof for a Catalan number identity with an alternating sum.

Similar result to a property of power series by P. Erdos et al

A formal power series such that $f(f(x))=x$

What are the squares in $\mathbb{R}((X))$?

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