On the irreducibility of locally analytic principal series representations

Let G be a p-adic connected reductive group with Lie algebra g. For a parabolic subgroup P in G and a finite-dimensional locally analytic representation V of P, we study the induced locally analytic G-representation W = Ind^G_P(V). Our result is the following criterion concerning the topological irreducibility of W: if the Verma module U(g) \otimes_{U(p)} V' associated to the dual representation V' is irreducible then W is topologically irreducible as well.Comment: 44 pages; final version. An appendix has been added in which it is shown that the canonical maps between certain completions of distribution algebras are injective. This fills a gap in a previous version; it was pointed out to us by a refere

A combinatorial identity for studying Sato-Tate type problems

We derive a combinatorial identity which is useful in studying the distribution of Fourier coefficients of L-functions by allowing us to pass from knowledge of moments of the coefficients to the distribution of the coefficients.Comment: This paper contains the proof of a combinatorial identity used to study effective equidistribution laws for the Fourier coefficients of elliptic curve L-functions investigated by the first two authors in http://arxiv.org/abs/1004.275

Walvoord, Christian H Oral History Interview: Former RCA and Protestant Reformed Church Executives

In the summer of 1979, the Hope College Living Heritage Oral History Project dealt with the Reformed Churches and their development. Interviews were conducted with past Reformed Church in America

Hoeksema, Homer C Oral History Interview: Former RCA and Protestant Reformed Church Executives

In the summer of 1979, the Hope College Living Heritage Oral History Project dealt with the Reformed Churches and their development. Interviews were conducted with past Reformed Church in America

Mulder, Bernard J Oral History Interview: Former RCA and Protestant Reformed Church Executives

In the summer of 1979, the Hope College Living Heritage Oral History Project dealt with the Reformed Churches and their development. Interviews were conducted with past Reformed Church in America

de Velder, Marion Oral History Interview: Former RCA and Protestant Reformed Church Executives

In the summer of 1979, the Hope College Living Heritage Oral History Project dealt with the Reformed Churches and their development. Interviews were conducted with past Reformed Church in America

Connecting the discrete and continuous-time quantum walks

Recently, quantized versions of random walks have been explored as effective elements for quantum algorithms. In the simplest case of one dimension, the theory has remained divided into the discrete-time quantum walk and the continuous-time quantum walk. Though the properties of these two walks have shown similarities, it has remained an open problem to find the exact relation between the two. The precise connection of these two processes, both quantally and classically, is presented. Extension to higher dimensions is also discussed.Comment: 5 pages, 1 figur