We exhibit a basis for the space of spherical characters of a distinguished supercuspidal representation π of a connected reductive p-adic group, subject to the assumption that π is obtained via induction from a representation of an open compact mod centre subgroup. We derive an integral formula for each spherical character belonging to the the basis. This formula involves integration of a part...

Let k be a number field with ring of adeles A, let B be a quaternion algebra defined over k, and letG = B×. Let π be an infinite dimensional irreducible cuspidal automorphic representation of G(A). Then the vanishing or nonvanishing of L(1/2, π) has been conjectured or shown to be equivalent to conditions of considerable interest in number theory or automorphic representation theory. For exampl...

Second group metal dimers can replace the carbon atom in benzene to form metallabenzene (C5H6M2) compounds. These complexes possess some aromatic character and promising hydrogen adsorption properties. In this study, we investigated the aromatic character of these compounds using aromaticity indices and molecular orbital analysis. To determine the nature of interactions between hydrogen and the...

Interactions classified as intermolecular resonance assisted hydrogen bonds (RAHBs) are analyzed here. Hence the MP2/6-311++G(d,p) calculations for dimers of formic, acetic and pyrrole-2carboxylic acid (PCA) were performed. The similar calculations were carried out for formamide and its fluorine derivatives’ dimers as well as the tautomeric forms of the latter species. The Quantum theory of Ato...

We extend the strong multiplicity one theorem of Jacquet, Piatetski-Shapiro and Shalika. Let π be a unitary, cuspidal, automorphic representation of GLn(AK). Let S be a set of finite places of K, such that the sum ∑ v∈S Nv −2/(n+1) is convergent. Then π is uniquely determined by the collection of the local components {πv | v 6∈ S, v finite} of π. Combining this theorem with base change, it is p...

The work [RS] presents a theory of local newand oldforms for representations of GSp(4, F ) with trivial central character for F a non-archimedean field of characteristic zero. This theory considers vectors fixed by the paramodular groups K(p) as defined in [RS]. Let (π, V ) be an irreducible, admissible representation of GSp(4, F ) with trivial central character. One of the main theorems of [RS...

Let C denote any of the following cardinal characteristics of Boolean algebras: incomparability, spread, character, π-character, hereditary Lindelöf number, hereditary density. It is shown to be consistent that there exists a sequence 〈Bi : i < κ〉 of Boolean algebras and an ultrafilter D on κ such that

This contribution summarizes the current state in photochemistry of metal nitroprussides, which is dominated by electronic structure nitrosyl group. From combination p orbitals nitrogen and oxygen atoms NO+ ligand, a π*NO molecular orbital relatively low energy formed, has π*2px π*2py character. double degenerate orbital. When group found coordinated to iron atom nitroprusside ion, availability...