164,824 research outputs found
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 -supercongruence. Similar -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 -Lucas numbers.Comment: Incorporated comments from referees. Accepted for publication in Int.
J. Number Theor
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