The orthomorphism on the Galois field is a kind of permutations that is the most widely used in crosscutting issue, the orthomorphic polynomials over the finite field is an effective method to study it, this study has obtained the coefficients relationship of the orthomorphisms over the Galois field by algebraic methods. In addition, this study have understood the maximal subgroup structure and...

In this paper we present an effective method for computing certain real coefficients λn which appear in a criterion for the Riemann hypothesis proved by Xian-Jin Li. With the use of this method a sequence of over three-thousand λn’s has been calculated. This sequence reveals a peculiar and unexpected behavior: it can be split into a strictly growing trend and some tiny oscillations superimposed...

In this paper we present an effective method for computing certain real coefficients λn which appear in a criterion for the Riemann hypothesis proved by Xian-Jin Li. With the use of this method a sequence of two-thousand λn’s has been calculated. This sequence reveals a peculiar and unexpected behavior: it can be split into a strictly growing trend and some tiny oscillations superimposed on thi...

Wave packet techniques provide an effective method for proving Strichartz estimates on solutions to wave equations whose coefficients are not smooth. We use such methods to show that the existing results for C1,1 and C1,α coefficients can be improved when the coefficients of the wave operator lie in a Sobolev space of sufficiently high order.

The large deviation principle is established for the Fleming-Viot process with neutral mutation when the process starts from a point on the boundary. Since the diffusion coefficient is degenerate on the boundary, the boundary behavior of the process is investigated in detail. This leads to the explicit identification of the rate function, the quasi-potential, and the structure of the effective ...

In this paper we present an effective method for computing certain real coefficients λn which appear in a criterion for the Riemann hypothesis proved by Xian-Jin Li. With the use of this method a sequence of two-thousand λn’s has been calculated. This sequence reveals a peculiar and unexpected behavior: it can be split into a strictly growing trend and some tiny oscillations superimposed on thi...