kobayashi. 124KB Jun 04 2011 12:09:06 AM
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we use results of [2] to prove a Kida formula for the Iwasawa invariants (in the sense of [8, 6, 9]) of weight 2 modular forms at supersingular primes.. Acknowledgments : We would
Then we show how one can obtain, in a simple way, explicit formulas for the generalized Euler polynomials, generalized Euler numbers, generalized Bernoulli polynomials and the
In § 3, we prove the main results of the present paper, namely, an unramified version of the theorem of Rumely and Moret-Bailly in positive characteristic (3.1), and an unramified
Such a definition is given in section 2 of the present paper; moreover, in Theorem (2.13) we prove that, under some very general conditions on the defining sequence ( a n ), every A ⊆
An elementary proof is given of an arithmetic for- mula, which was stated but not proved by Liouville.. An appli- cation of this formula yields a formula for the number of
We now prove another characterization of Lyapunov -scalar stability in terms of P -matrices, generalizing Theorem 1.2 in [12]. The following
In this paper, we will establish the above conjecture (Theorem 2.3) and also characterize all sign patterns that require eventual nonnegativity (Theorem 2.6) in terms of
We present a short probabilistic proof of a weak convergence result for the number of cuts needed to isolate the root of a random recursive tree.. The proof is based on a
