We adapt the proof of the Green-Tao theorem on arithmetic progressions in primes to the setting of polynomials over a finite field, to show that for every k, the irreducible polynomials in Fq[t] contain configurations of the form {f + P g : deg(P) < k}, g = 0.

We adapt the proof of the Green-Tao theorem on arithmetic progressions in primes to the setting of polynomials over a finite fields, to show that for every k, the irreducible polynomials in Fq[t] contains configurations of the form {f + P g : deg(P) < k}, g = 0.

Huan Yang, Fan Zhang, Aaron Zimmerman, and Yanbei Chen Theoretical Astrophysics 350-17, California Institute of Technology, Pasadena, California 91125, USA Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L2Y5, Canada Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario N2L3G1, Canada Department of Physics, West Virginia University, P.O. Box 6315, Morgantow...

The dynamic response of the railway under accelerated moving load using Dynamic Green Function is presented in this paper. For this purpose, an exact and direct modeling technique is introduced for the railway modeling as the damped Euler-Bernoulli beam on the partial Winkler foundation with arbitrary boundary conditions subjected to the moving load. The effects of the elastic coefficient of Wi...