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Using the Fermat Quotient, defined in , of units that are not necessarily congruent to 1 modulo a prime of a fixed odd primep, we improve some results of J. M. KlM [4, 5, 6] to certain cyclotomic fields or abelian fields.
LetK be an imaginary abelian number field. By means of a generalization of Maillet and Demyanenko determinants we give a relative class number formula for an intermediate field of the cyclotomic ℤp-extension ofK. The degree of the generalized determinant is a half of the degree ofK over ℚ.
Let(M, g, J) be an almost Hermitian manifold. In this paper we study holomorphically nonnegatively(δ,Δ)-pinched almost Hermitian manifolds. In  it was shown that for such Kahler manifolds a plane with maximal sectional curvature has to be a holomorphic plane(J-invariant). Here we generalize...
ZusammenfassungWe describe the Tits buildings of the Siegel modular...
In a pseudo-Riemannian manifold we can define anr-plane curve as a curve with vanishingr-th curvature. We show that every diffeomorphism that carriesr-plane curves intor-plane curves (for a fixedr) is a geodesic diffeomorphism, i.e. carries geodesics into geodesics.
We give an explicit form of a “good” Euler factor of a certain Dirichlet series attached to the Siegel-Eisenstein series.
ZusammenfassungWe prove here three results in chain: the result of Section 2 is a symmetry property of the higher Lie characters ofSn (which are indexed by partitions) : their character table is essentially symmetric, up to well-known factors. This is established using plethystic methods in the...
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