Some further results on squarefree arithmetic progressions in infinite words

Keywords: semilinear elliptic equations; Lin-Ni conjecture; Sobolev inequality; interpo- lation; Gagliardo-Nirenberg inequalities; Keller-Lieb-Thirring inequality; optimal con-

As ƒ is square-free and satisfies condition (F) the only possible words between two occurrences of b are from the set B={a, c, aca, cac}. Note that two different words in this set

In this section we shall explain how Fermat’s claim is related to torsion points of very special elliptic

The upper bound is obtained by observing that each squarefree word w can be extended to the right by at most c(n) words of length n.. There still remains a gap between the upper

In this paper, we consider a 3-shock wave, because a 1-shock wave can be handled by the same method.. For general hyperbolic system with relaxation, the existence of the shock

Any 1-connected projective plane like manifold of dimension 4 is homeomor- phic to the complex projective plane by Freedman’s homeomorphism classification of simply connected

In the cases which were considered in the proof of [1, Proposition 7.6], the case when the monodromy group of a rank 2 stable bundle is the normalizer of a one-dimensional torus

[7] Chunhui Lai, A lower bound for the number of edges in a graph containing no two cycles of the same length, The Electronic J. Yuster, Covering non-uniform hypergraphs