An Auction Market for Journal Articles

Economic articles are published very slowly. We believe this results from the poor incentives referees face. We recommend that an auction market replace the current, push system for submitting papers and demonstrate that our proposed market has a stable, Pareto-improving equilibrium. Besides the benefits of speed, this pull mechanism increases the quality of articles and journals and rewards referees for their effort. Although the auction price gives a prior on a paper's future value, its actual value|as a published article|depends on later citations. Since the auction price of later papers goes to the editors, authors and referees of earlier, cited articles, "auction earnings" give a direct measure of the value of articles, journals (the sum of articles) and academics - as authors, editors and reviewers - rewarding good writing, decisions and effort, respectively.Academic Journals;Academic Productivity;Market Design.

The variance of the number of prime polynomials in short intervals and in residue classes

We resolve a function field version of two conjectures concerning the variance of the number of primes in short intervals (Goldston and Montgomery) and in arithmetic progressions (Hooley). A crucial ingredient in our work are recent equidistribution results of N. Katz.Comment: Revised according to referees' comment

A Characterization of Mixed Unit Interval Graphs

We give a complete characterization of mixed unit interval graphs, the intersection graphs of closed, open, and half-open unit intervals of the real line. This is a proper superclass of the well known unit interval graphs. Our result solves a problem posed by Dourado, Le, Protti, Rautenbach and Szwarcfiter (Mixed unit interval graphs, Discrete Math. 312, 3357-3363 (2012)).Comment: 17 pages, referees' comments adde

Relativistically invariant extension of the de Broglie-Bohm theory of quantum mechanics

We show that quantum mechanics can be given a Lorentz-invariant realistic interpretation by applying our recently proposed relativistic extension of the de Broglie-Bohm theory to deduce non-locally correlated, Lorentz-invariant individual particle motions for the Einstein-Podolsky-Rosen experiment and the double-interferometer experiment proposed by Horne, Shimony and Zeilinger.Comment: Revised version thanks to the referees comments. 4 pages, 4 figure

A central limit theorem for the zeroes of the zeta function

On the assumption of the Riemann hypothesis, we generalize a central limit theorem of Fujii regarding the number of zeroes of Riemann's zeta function that lie in a mesoscopic interval. The result mirrors results of Soshnikov and others in random matrix theory. In an appendix we put forward some general theorems regarding our knowledge of the zeta zeroes in the mesoscopic regime.Comment: 22 pages. Incorporates referees suggestions. Contains minor corrections to published versio

q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon

We establish a supercongruence conjectured by Almkvist and Zudilin, by proving a corresponding $q$-supercongruence. Similar $q$-supercongruences are established for binomial coefficients and the Ap\'{e}ry numbers, by means of a general criterion involving higher derivatives at roots of unity. Our methods lead us to discover new examples of the cyclic sieving phenomenon, involving the $q$-Lucas numbers.Comment: Incorporated comments from referees. Accepted for publication in Int. J. Number Theor