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identity of a formal power series

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#formal-power-series
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When do we know a quotient of the polynomial ring over a local ring is torsion-free?

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#abstract-algebra #polynomials #commutative-algebra #formal-power-series #torsion-groups
608
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absolute value and valuation on the field of formal power series

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#absolute-value #valuation-theory #formal-power-series
74
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Does $\sum_{n\ge1}x_n^n$ converge $\mathfrak m$-adically in $K[[x_1,x_2,\dots]]\ ?$

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#abstract-algebra #commutative-algebra #formal-power-series
589
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Taylor expansion for formal power series

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#power-series #taylor-expansion #formal-power-series
475
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Rings of formal power series is finitely generated as module.

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#abstract-algebra #commutative-algebra #noetherian #formal-power-series
528
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Cauchy product of multivariate formal power series

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#ring-theory #power-series #convolution #formal-power-series
72
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What does it mean for a member of formal power series over a field to be algebraic over polynomial ring of that field?

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#abstract-algebra #polynomials #ring-theory #commutative-algebra #formal-power-series
66
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When should we suspect an integral polynomial/power series to have coefficients with meaning behind them?

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#combinatorics #polynomials #soft-question #intuition #formal-power-series
1.1k
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Formal Laurent series and field of fractions of Taylor series

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#abstract-algebra #formal-power-series
27
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I need some advice on how to organize some drafts and what to with a new formula I found

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#bernoulli-numbers #formal-power-series
1.1k
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What does it mean for a formal power series to be "well-defined"?

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#power-series #definition #formal-power-series
150
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Degree of a formal power series involving Mobius function

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#combinatorics #power-series #mobius-function #formal-power-series
85
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Multiplication of Power Series [Complex]

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#power-series #formal-power-series
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Computing quotient by dividing formally in $p$-adic number system

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#number-theory #polynomials #p-adic-number-theory #valuation-theory #formal-power-series

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