article08. 745KB Jun 04 2011 12:06:53 AM
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Quadratic quaternion forms, introduced by Seip-Hornix (1965), are special cases of generalized quadratic forms over algebras with involutions. We apply the formalism of
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
To complete the “concrete” proof of the “al- gebraic implies automatic” direction of Theorem 4.1.3, we must explain why the field of p-quasi-automatic series is closed
In order to prove the existence theorem of local class field theory, it remains to prove the existence of cyclic, totally ramified class fields of degree p m (m ∈ N ).. We give
Along the way we will present some simple infinite product identities like (4) for certain special values of the multiple gamma function.. The multiple
Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fact that these orthogonal polynomials are moments of other orthogonal polynomials
Complementary triangular forms of pairs of matrices, realizations with prescribed main matrices, and complete factorization of rational matrix functions.. Linear
And in the situation when the direct algebraic balance method, based on the representing solution we are looking for in the form of finite combination of the given functions fails,
