Arithmetic properties of mirror maps associated with Gauss hypergeometric equations (Q359638)
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scientific article; zbMATH DE number 6197844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arithmetic properties of mirror maps associated with Gauss hypergeometric equations |
scientific article; zbMATH DE number 6197844 |
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Arithmetic properties of mirror maps associated with Gauss hypergeometric equations (English)
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12 August 2013
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A catalog of hypergeometric differential equations is constructed with maximal unipotent monodromy at the origin whose mirror map has integral Taylor coefficients up to a rescaling. For infinitely many primes \(p\) in certain arithmetic progressions, the mirror maps are shown to exhibit \(p\)-adic integrality. Mirror maps with the above properties are parameterized by modular functions.
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hypergeometric series and equations
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mirror maps
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0.94490397
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0.92904264
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0.88879454
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0.8868251
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0.87416255
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0.86788535
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0.86514384
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