Refinement of Tate's discriminant bound and non-existence theorems for mod \(p\) Galois representations (Q1419623)
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scientific article; zbMATH DE number 2028847
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Refinement of Tate's discriminant bound and non-existence theorems for mod \(p\) Galois representations |
scientific article; zbMATH DE number 2028847 |
Statements
Refinement of Tate's discriminant bound and non-existence theorems for mod \(p\) Galois representations (English)
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19 January 2004
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Summary: Non-existence is proved of certain continuous irreducible mod \(p\) representations of degree 2 of the absolute Galois group of the rational number field. This extends previously known results, the improvement based on a refinement of Tate's discriminant bound.
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Mod \(p\) Galois representation
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discriminant
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0.9023018
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0.8909211
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0.88655335
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0.8860187
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0.88436794
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0.8805233
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0.87918884
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