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Mathematische Annalen - 相似文献
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Tauno Metsänkylä 《Journal of Number Theory》1978,10(4):510-522
Let f(x, χ) be the Iwasawa power series for the p-adic L-function Lp(s, χ), where χ is an even nonprincipal character with conductor not divisible by p2 (or by 8, when p = 2). The divisibility by p of the first p coefficients of f(x, χ) is characterized by Kummer type congruences of generalized Bernoulli numbers. Applications to Iwasawa invariants and class numbers of imaginary Abelian fields are discussed. 相似文献
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Tauno Metsänkylä 《Journal of Number Theory》1977,9(4):507-509
Let χ be an odd residue class character with conductor f (a prime power) and order 2h. It is shown that the nonvanishing of the sum χ(1) + 2χ(2) + … + fχ(f) follows directly from properties of the minimum polynomial of a 2hth root of unity. 相似文献
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