The Award Committee – Michael Gnewuch, University of Kaiserslautern, Germany and Friedrich Pillichshammer, Johannes Kepler University, Austria – determined that the following two papers exhibited exceptional merit and therefore awarded the prize to: ShuTezuka for his paper ‘‘On the discrepancy of generalizedNiederreiter sequences’’, which appeared in June–August, 2013. Vol. 29, pp. 240–247. Joo...

A linearization procedure is proposed for Ermakov systems with frequency depending on dynamic variables. The procedure applies to a wide class of generalized Ermakov systems which are linearizable in a manner similar to that applicable to usual Ermakov systems. The Kepler–Ermakov systems belong into this category but others, more generic, systems are also included.

a/G(mA +mB) calculated with the system’s parameters, determined independently of the third Kepler law itself, in order to put constraints on some models of modified gravity (f(R), Yukawa-like fifth force, MOND). The major source of error affecting ∆P is not the one in the phenomenologically measured period (δPb = 4× 10 −6 s), but the systematic uncertainty δP (0) in the computed Keplerian one d...

In this note I show that there is a mistake in the proof of uniqueness in Engelbrecht-Wiggans, Milgrom and Weber’s seminal “Competitive Bidding and Proprietary Information” and provide a correct proof. © 2005 Elsevier B.V. All rights reserved. JEL classification: C7; D44

In this paper, canonical transformations generated by constants of motion in the case of the Kepler problem are discussed. It is shown that canonical transformations generated by angular momentum are rotations of the trajectory. Particular attention is paid to canonical transformations generated by the Runge–Lenz vector. It is shown that these transformations change the eccentricity of the orbi...

Silva Aguirre, V., Davies, G., Basu, S., Christensen-Dalsgaard, J., Creevey, O., Metcalfe, T., Bedding, T., Casagrande, L., Handberg, R., Lund, M., Huber, D., Stello, D., et al (2015). Ages and fundamental properties of Kepler exoplanet host stars from asteroseismology. Monthly Notices of the Royal Astronomical Society, 452(2), 2127-2148. [More ...