On Zagier's conjecture for base changes of elliptic curves (Q373997)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Zagier's conjecture for base changes of elliptic curves |
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On Zagier's conjecture for base changes of elliptic curves (English)
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25 October 2013
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Summary: Let \(E\) be an elliptic curve over \(\mathbb Q\), and let \(F\) be a finite abelian extension of \(Q\). Using Beilinson's theorem on a suitable modular curve, we prove a weak version of Zagier's conjecture for \(L(E_F,2)\), where \(E_F\) is the base change of \(E\) to \(F\).
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elliptic curves
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\(L\)-functions
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elliptic dilogarithm
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Zagier's conjecture
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regulators
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Beilinson's conjecture
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