Bialgebraic varieties of the Gamma function
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918150715473920 |
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| author | Eterović, Sebastian Padgett, Adele Zhao, Roy |
| author_facet | Eterović, Sebastian Padgett, Adele Zhao, Roy |
| contents | We characterize the bialgebraic varieties of the $Γ$ function, that is, if $V,W\subseteq\mathbb{C}^n$ are irreducible affine algebraic variety which satisfy $\dim V =\dim W$ and $Γ(V)\subseteq W$, then the equations defining $V$ (and hence also $W$) either give an equality between coordinates, or set some coordinates to be constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24982 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bialgebraic varieties of the Gamma function Eterović, Sebastian Padgett, Adele Zhao, Roy Complex Variables Number Theory 33B15, 11J91: 39A45 We characterize the bialgebraic varieties of the $Γ$ function, that is, if $V,W\subseteq\mathbb{C}^n$ are irreducible affine algebraic variety which satisfy $\dim V =\dim W$ and $Γ(V)\subseteq W$, then the equations defining $V$ (and hence also $W$) either give an equality between coordinates, or set some coordinates to be constant. |
| title | Bialgebraic varieties of the Gamma function |
| topic | Complex Variables Number Theory 33B15, 11J91: 39A45 |
| url | https://arxiv.org/abs/2509.24982 |