ON A GROSS CONJECTURE OVER IMAGINARY QUADRATIC FIELDS

Saad El Boukhari

doi:10.17777/pjms.2024.27.2.002

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ON A GROSS CONJECTURE OVER IMAGINARY QUADRATIC FIELDS

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Number field algebraic K-theory Beilinson regulator Artin L-function

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초록

Let k be an imaginary quadratic number field and F/k a finite abelian extension. We show that a Gross conjecture concerning the leading terms of Artin L-series holds for F/k and almost all prime numbers.

Abstract

Let k be an imaginary quadratic number field and F/k a finite abelian extension. We show that a Gross conjecture concerning the leading terms of Artin L-series holds for F/k and almost all prime numbers.

참고문헌 (21)

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초록

Abstract

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