A Riemann–Roch theorem is a theorem which asserts that some algebraically defined wrong–way map in K –theory agrees or is compatible with a topologically defined one [BFM]. Bismut and Lott [BiLo] proved a Riemann–Roch theorem for smooth fiber bundles in which the topologically defined wrong–way map is the homotopy transfer of Becker–Gottlieb and Dold. We generalize and refine their theorem. In ...

Given a quaternionic form $$\textrm{G}$$ of p-adic classical group (p odd) we classify all cuspidal irreducible representations with coefficients in an algebraically closed field characteristic different from p. We prove two theorems: At first: Every representation is induced type, i.e. certain compact open subgroup , constructed $$\beta $$ -extension and finite group. Secondly show that intert...

We generalize the universal power series of Seleznev to several variables and we allow coefficients depend on parameters. Then, approximable functions may same The approximation holds products $$K = \displaystyle \prod \nolimits _{i 1}^d K_i$$ , where $$K_i \subseteq \mathbb {C}$$ are compact sets $$\mathbb {C} {\setminus } connected, $$i 1, \ldots d$$ $$0 \notin K$$ . On such K partial sums ap...