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We study the consequences of Gross's conjecture for cyclic extensions of degree $l^2$ where l is prime, and deduce that the L-values at s = 0 satisfy certain congruence relations.
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참고문헌 (3)
참고문헌 신청
David Burns / 2004 / On the re¯ned class number formula of Gross / J. Number Theory 107(2):282~286
Pierre Deligne / 1980 / Values of abelian L-functions at negative integers over totally real ¯elds / Invent. Math. 59(3):227~286
Benedict H. Gross / 1988 / On the values of abelian L-functions at s = 0 / J. Fac. Sci. Univ. Tokyo Sect. IA Math. 35(1):177~197
Pierre Deligne / 1980 / Values of abelian L-functions at negative integers over totally real ¯elds / Invent. Math. 59(3):227~286
Benedict H. Gross / 1988 / On the values of abelian L-functions at s = 0 / J. Fac. Sci. Univ. Tokyo Sect. IA Math. 35(1):177~197
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