Consecutive primes and Beatty sequences
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DOI: 10.1016/j.jnt.2018.04.003
Abstract: Fix irrational numbers $\alpha,\hat\alpha>1$ of finite type and real numbers $\beta,\hat\beta\ge 0$, and let $B$ and $\hat B$ be the Beatty sequences $$ B:=(\lfloor\alpha m+\beta\rfloor)_{m\ge 1}\quad\text{and}\quad\hat B:=(\lfloor\hat\alpha m+\hat\beta\rfloor)_{m\ge 1}. $$ In this note, we study… read more here.
Keywords: beatty sequences; consecutive primes; hat alpha; primes beatty ... See more keywords
Tests of gravitational symmetries with pulsar binary J1713+0747
Sign Up to like & getrecommendations! Published in 2018 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/sty2905
Abstract: Symmetries play a fundamental role in modern theories of gravity. The strong equivalence principle (SEP) constitutes a collection of gravitational symmetries which are all implemented by general relativity. Alternative theories, however, are generally expected to… read more here.
Keywords: hat alpha; strongly self; gravitational symmetries; self gravitating ... See more keywords
Observational constraints on the regularized 4D Einstein-Gauss-Bonnet theory of gravity
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DOI: 10.1103/physrevd.102.084005
Abstract: In this paper we study the observational constraints that can be imposed on the coupling parameter, $\hat \alpha$, of the recently proposed 4-dimensional Einstein-Gauss-Bonnet theory of gravity. We consider the field equations that can be… read more here.
Keywords: gauss bonnet; theory; hat alpha; einstein gauss ... See more keywords