article06. 267KB Jun 04 2011 12:06:52 AM
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Key words: elliptic Frobenius determinant; QD -algorithm; orthogonal and biorthogonal polynomials on the unit circle; dense point spectrum; elliptic hypergeometric
To carry out this program, one requires analogues of fundamental results of Mazur, Ribet and Wiles concerning elliptic curves and their associated Galois representations, for the
We further this approach to find Tong’s spectrum for an infinite family of con- tinued fractions generalizing the NICF; these Rosen fractions are briefly described in the next
As already remarked we can prove similar results for arbitrary ground fields k when we assume corresponding results for the ℓ –rank of the class groups of quadratic extensions
If the minimum of the lattice is even, then the dimension of an s-extremal lattices can be bounded by the theory of modular forms.. This shows that such lattices are also extremal
for the construction of this relation is the determination of the applicability of Mazur’s method to the modular curve associated to the normalizer of a non-split Cartan subgroup of
The set of spectrally arbitrary sign patterns is a subset of the set of potentially stable sign patterns, and for tree sign patterns of order 4, the set of all potentially stable
In this section, we prove results concerning local (i.e., restricted to proper subspaces) vs global linear dependence of operators that will be used in the proof of Theorem 1.5, and
