On Rubin's variant of the p-adic Birch and Swinnerton-Dyer conjecture II

Let E be an elliptic curve over Q with complex multiplication by the ring of integers of an imaginary quadratic field K. In 1991, by studying a certain special value of the Katz two-variable p-adic L-function lying outside the range of $p$-adic interpolation, K. Rubin formulated a p-adic variant of the Birch and Swinnerton-Dyer conjecture when $E(K)$ is infinite, and he proved that his conjecture is true for E(K) of rank one. When E(K) is finite, however, the statement of Rubin's original conjecture no longer applies, and the relevant special value of the appropriate $p$-adic L-function is equal to zero. In this paper we extend our earlier work and give an unconditional proof of an analogue of Rubin's conjecture when E(K) is finite.Comment: Final version. To appear in Mathematische Annalen

The Hulthen Potential in D-dimensions

An approximate solution of the Schrodinger equation with the Hulth$\acute{e}$n potential is obtained in D-dimensions with an exponential approximation of the centrifugal term. Solution to the corresponding hyper-radial equation is given using the conventional Nikiforov-Uvarov method. The normalization constants for the Hulth$\acute{e}$n potential are also computed. The expectation values $$,$$, are also obtained using the Feynman-Hellmann theorem.Comment: Typed with LateX, 12 Pages, typos correcte

Impact of organizational culture on the performances of universities in Nigeria

This study examines the impact of organizational culture on performances of Universities in Ogun State, Nigeria. The objectives of the study were to identify which element of organizational culture has the most contribution in predicting the performances of Universities, and to reveal the relationship that exists between organizational culture and performances of Universities. To determine the impact of organizational culture on performances of Universities, a sample of 300 academic and non-academic staff of Covenant University, Ota, Olabisi Onabanjo University, Ago-Iwoye, University of Agriculture, Abeokuta, all in Ogun State were drawn. The data were analyzed using simple frequency tables, Pearson product moment correlation and multiple regressions. The finding shows that there is no significant contribution of organizational culture in predicting the performances of Universities and some elements of organizational culture contributed predicting the performances of Universities in Ogun State. Finally, the analysis shows that there is no significant relationship between organizational culture and performances of the Universities studied. The general agreement is that positive organizational culture will have a positive impact on performance of any University

On twisted forms and relative algebraic K-theory

This paper introduces a new approach to the study of certain aspects of Galois module theory by combining ideas arising from the study of the Galois structure of torsors of finite group schemes with techniques coming from relative algebraic $K$-theory.Comment: Final version. To appear in the Proceedings of the London Mathematical Societ