The coincidence site lattices of the root lattice A4 are considered, and the statistics of the corresponding coincidence rotations according to their indices is expressed in terms of a Dirichlet series generating function. This is possible via an embedding of A4 into the icosian ring with its rich arithmetic structure, which recently [6] led to the classification of the similar sublattices of A...

The coincidence site lattices of the root lattice A4 are considered, and the statistics of the corresponding coincidence rotations according to their indices is expressed in terms of a Dirichlet series generating function. This is possible via an embedding of A4 into the icosian ring with its rich arithmetic structure, which recently [6] led to the classification of the similar sublattices of A...

The coincidence site lattices of the root lattice A4 are considered, and the statistics of the corresponding coincidence rotations according to their indices is expressed in terms of a Dirichlet series generating function. This is possible via an embedding of A4 into the icosian ring with its rich arithmetic structure, which recently [6] led to the classification of the similar sublattices of A...

The coincidence site lattices of the root lattice A4 are considered, and the statistics of the corresponding coincidence rotations according to their indices is expressed in terms of a Dirichlet series generating function. This is possible via an embedding of A4 into the icosian ring with its rich arithmetic structure, which recently [6] led to the classification of the similar sublattices of A...

(1.1) Let c be a real number. Represent by A4"(c) a n-dimensional space form of curvature c. Let M N be a N-dimensional connected Riemannian manifold. The question that served as the starting point for this paper was to find simple conditions on the metric of M so that, if f:M"~ffl"+P(c), p>= 1, is an isometric minimal immersion then f is rigid in the following sense: given another minimal imme...

The structures of atpenins A4, A5 and B, new antifungal antibiotics produced by Penicillium sp., have been deduced to be I, II and III, respectively, on the basis of spectroscopic and 1H and 13C NMR spectral data. The molecular structure of atpenin A4 with absolute configurations was finally confirmed to be 2'S,4'S,5'S-5,6-dimethoxy-4-hydroxy-5'-chloro-2',4'- dimethyl-1'-oxoheptyl-2-hydroxypyri...

It has been demonstrated in this laboratory (1) that A4-androstenedione3,17, c&testosterone, and small amount of other unidentified steroids are formed when testosterone is incubated with liver slices. In order to elucidate further the course of the metabolism of these steroids, 2000 mg. of A4-androstenedione-3, 17, the chief metabolite of testosterone (l), has been incubated in lots of 100 mg....

BACKGROUND Hyperandrogenic conditions have been associated with a high prevalence of endometrial pathologies related to cell survival. However, the action of androgens on proliferation and apoptosis in endometrial cells is poorly understood. Therefore, the aim of the present study was to evaluate the effect of androstenedione on cell proliferation, cell death and expression of estrogen receptor...

Starting from milbemycin D (1), milbemycin A4 (2) and milbemycin A3 (3), a series of 5-keto-5-oxime derivatives were synthesized by selective oximation at the alpha,beta-conjugated carbonyl function of the 5-ketomilbemycins (4-6). The activities of the synthesized compounds were studied in dogs naturally infested with microfilariae of Dirofilaria immitis. The 5-keto-5-oximes of milbemycin D (7)...

It has been demonstrated in this laboratory (1) that A4-androstenedione3,17, c&testosterone, and small amount of other unidentified steroids are formed when testosterone is incubated with liver slices. In order to elucidate further the course of the metabolism of these steroids, 2000 mg. of A4-androstenedione-3, 17, the chief metabolite of testosterone (l), has been incubated in lots of 100 mg....