An upper bound on conductors for pairs (Q1363092)
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scientific article; zbMATH DE number 1048747
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An upper bound on conductors for pairs |
scientific article; zbMATH DE number 1048747 |
Statements
An upper bound on conductors for pairs (English)
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17 August 1997
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Let \(a\), \(b\), \(c\) be the exponents (defined by means of the \(\varepsilon\) factors) of the irreducible admissible representations \(\pi\), \(\rho\), \(\pi\times\rho\) of \(GL(m,F)\), \(GL(n,F)\), \(GL(m,F)\times GL(n,F)\). Here \(F\) is a \(p\)-adic field. It is shown that \(c\leq na+mb-\min(a,b)\) using the essential vector in the Whittaker model in the generic case.
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conductors of representations of \(GL(n)\) over a \(p\)-adic field
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0.85878754
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0.8548165
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0.8540446
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0.8490228
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0.8338196
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0.82820565
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