Let E be an optimal elliptic curve over Q of conductor N , such that the L-function of E vanishes to order one at s = 1. Let K be a quadratic imaginary field in which all the primes dividing N are split and such that the L-function of E over K also vanishes to order one at s = 1. In view of the Gross-Zagier theorem, the Birch and Swinnerton-Dyer conjecture says that the index in E(K) of the sub...

In this paper, we propose a new counting scheme for m× n contingency tables. Our scheme is a modification of Dyer and Greenhill’s scheme for two rowed contingency tables [5]. We can estimate not only the sizes of error, but also the sizes of the bias of the number of tables obtained by our scheme, on the assumption that we have an approximate sampler.

For each admissible monomial of Dyer-Lashof operations QI , we define a corresponding natural function Q̂I :TH̄∗(X) → H ∗(ΩnΣnX), called a Dyer-Lashof splitting. For every homogeneous class x in H∗(X), a Dyer-Lashof splitting Q̂I determines a canonical element y in H∗(ΩnΣnX) so that y is connected to x by the dual homomorphism to the operation QI . The sum of the images of all the admissible Dyer-...

The present study was aimed at examining the distribution and abundance of glycerol dialkyl glycerol tetraethers (GDGTs) of archaeal and bacterial origin in peat samples from surface and deep (ca. 50 cm) horizons of a peat bog in the Jura Mountains (northeastern France). Two principal types of GDGTs are present: extractable GDGTs, recoverable by solvent extraction, and non-extractable GDGTs, li...

The taxonomic and systematic history of the South American silversides has changed significantly since Campos (1984) review. As a result of phylogenetic studies of the subfamilies Menidiinae (Chernoff, 1986b), Atherinopsinae (White, 1985; Crabtree, 1987; Dyer 1997, 1998) and of the order Atheriniformes (Saeed et al., 1994; Dyer and Chernoff, 1996) the taxonomy and classification of silversides ...

Abstract The purpose of this paper is to give a formula for the leading coefficient at s = 1 {s=1} L -function one-motives over function fields in terms Weil-étale cohomology, generalizing version Birch and Swinnerton-Dyer conjecture authors’ previous work. As consequence we...