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Page $117$ of Atiyah, MacDonald's Introduction to Commutative Algebra text has the following theorem. Let $P(M,t)$ denote the Poincare- series of $M$.
- $\textbf{Theorem.}$ $\bigl(\mathsf{Hilbert-Serre}\bigr)$. $P(M,t)$ is a rational function in $t$ of the form $f(t)/\prod_{i=1}^{s} (1-t^{k_i})$, where $f(t) \in \mathbf{Z}[t]$.
This theorem appears in the section of the book called Hilbert-Functions (page 116), so one understands that it could have possibly been discovered by Hilbert.
- But why is the above theorem attributed to Serre? References about when Serre was credited to this the above theorem would be helpful.
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Page $117$ of Atiyah, MacDonald's Introduction to Commutative Algebra text has the following theorem. Let $P(M,t)$ denote the Poincare- series of $M$.
- $\textbf{Theorem.}$ $\bigl(\mathsf{Hilbert-Serre}\bigr)$. $P(M,t)$ is a rational function in $t$ of the form $f(t)/\prod_{i=1}^{s} (1-t^{k_i})$, where $f(t) \in \mathbf{Z}[t]$.
This theorem appears in the section of the book called Hilbert-Functions (page 116), so one understands that it could have possibly been discovered by Hilbert.
- But why is the following theorem attributed to Serre? References about when Serre was credited to this theorem would be helpful.
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Why is the following this theorem attributed to Serre?
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Page $117$ of Atiyah, MacDonald's Introduction to Commutative Algebra text has the following theorem. Let $P(M,t)$ denote the Poincare- series of $M$.
- $\textbf{Theorem.}$ $\bigl(\mathsf{Hilbert-Serre}\bigr)$. $P(M,t)$ is a rational function in $t$ of the form $f(t)/\prod_{i=1}^{s} (1-t^{k_i})$, where $f(t) \in \mathbf{Z}[t]$.
This theorem appears in the section of the book called Hilbert-Functions (page 116), so one can understand understands that it could have possibly been discovered by Hilbert.
- But why is the following theorem attributed to Serre? References about when Serre was credited to this theorem would be helpful.
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Why is Serre attributed to the following theorem attributed to Serre?
Page $117$ of Atiyah, MacDonald's Introduction to Commutative Algebra text has the following theorem. Let $P(M,t)$ denote the Poincare- series of $M$.
- $\textbf{Theorem.}$ $\bigl(\mathsf{Hilbert-Serre}\bigr)$. $P(M,t)$ is a rational function in $t$ of the form $f(t)/\prod_{i=1}^{s} (1-t^{k_i})$, where $f(t) \in \mathbf{Z}[t]$.
This theorem appears in the section of the book called Hilbert-Functions (page 116), so one can understand that it could have possibly been discovered by Hilbert.
- But why is Serre attributed to the above following theorem ? Did attributed to Serrediscover this fact independently? References about when Serre was credited to this theorem would be helpful.
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Page $117$ of Atiyah, MacDonald's Introduction to Commutative Algebra text has the following theorem. Let $P(M,t)$ denote the Poincare- series of $M$.
- $\textbf{Theorem.}$ $\bigl(\mathsf{Hilbert-Serre}\bigr)$. $P(M,t)$ is a rational function in $t$ of the form $f(t)/\prod_{i=1}^{s} (1-t^{k_i})$, where $f(t) \in \mathbf{Z}[t]$.
This theorem appears in the section of the book called Hilbert-Functions (page 116), so one can understand that it could have possibly been discovered by Hilbert.
- But why is Serre attributed to the above theorem? Did Serre discover this fact independently? References about when Serre was credited to this theorem would be helpful.
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Page $117$ of Atiyah, MacDonald MacDonald's Introduction to Commutative Algebra text has the following theorem. Let $P(M,t)$ denote the Poincare- series of $M$.
- $\textbf{Theorem.}$ $\bigl(\mathsf{Hilbert-Serre}\bigr)$. $P(M,t)$ is a rational function in $t$ of the form $f(t)/\prod_{i=1}^{s} (1-t^{k_i})$, where $f(t) \in \mathbf{Z}[t]$.
This theorem appears in the section of the book called Hilbert-Functions (page 116), so one can understand that it could have possibly been discovered by Hilbert.
- But why is Serre attributed to the above theorem? Did Serre discover this fact independently? References about when Serre was credited to this theorem would be helpful.
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Page $117$ of Atiyah, MacDonald Introduction to Commutative Algebra text has the following theorem. Let $P(M,t)$ denote the Poincare- series of $M$.
- $\textbf{Theorem.}$ $\bigl(\mathsf{Hilbert-Serre}\bigr)$. $P(M,t)$ is a rational function in $t$ of the form $f(t)/\prod_{i=1}^{s} (1-t^{k_i})$, where $f(t) \in \mathbf{Z}[t]$.
This theorem appears in the section of the book called Hilbert-Functions (page 116), so one can understand that the above theorem it could have possibly been discovered by Hilbert.
- But why is Serre attributed to the above theorem. ? Did Serre discover this fact independently? References about when Serre was credited to this theorem would be helpful.
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Why is Serre attributed to the following theorem?
Page $117$ of Atiyah, MacDonald Introduction to Commutative Algebra text has the following theorem. Let $P(M,t)$ denote the Poincare- series of $M$.
- $\textbf{Theorem.}$ $\bigl(\mathsf{Hilbert-Serre}\bigr)$. $P(M,t)$ is a rational function in $t$ of the form $f(t)/\prod_{i=1}^{s} (1-t^{k_i})$, where $f(t) \in \mathbf{Z}[t]$.
This theorem appears in the section of the book called Hilbert-Functions (page 116), so one can understand that the above theorem could have been discovered by Hilbert. But why is Serre attributed to the above theorem. Did Serre discover this fact independently?
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