On polytopes associated to factorisations of prime-powers

Also use the formulas for det and Trace from the

Can −1 be a quadratic residue in some congruence

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

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

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

In this paper we will establish the sharp upper and lower bounds for the volume of k-dimensional projections (or sections) of L p -zonoids (or their polars) with even

We present the formalization of Dirichlet’s theorem on the infinitude of primes in arithmetic progressions, and Selberg’s elementary proof of the prime number theorem, which