In this work we obtain the group of conformal and anticonformal automorphisms of real cyclic p-gonal Riemann surfaces, where p ≥ 3 is a prime integer and the genus of the surfaces is at least (p − 1) + 1. We use Fuchsian and NEC groups, and cohomology of finite groups.

The main topics of this paper are the structure of Sidelnikov sequences and new construction of M ary sequence families from the structure. For prime p and a positive integer m, it is shown that M -ary Sidelnikov sequences of period p − 1, if M | pm − 1, can be equivalently generated by the operation of elements in a finite field GF(p), including a p-ary m-sequence. The equivalent representatio...

Classes of convex lattice polygons which have minimal lp–perimeter with respect to the number of their vertices are said to be optimal in the sense of lp metric. The purpose of this paper is to prove the existence and explicitly find the limit shape of the sequence of these optimal convex lattice polygons as the number of their vertices tends to infinity. It is proved that if p is arbitrary int...

In parallel query-processing environments, accurate, time-oriented progress indicators could provide much utility to users given that queries take a very long time to complete and both interand intra-query execution times can have high variance. In these systems, query times depend on the query plans and the amount of data being processed, but also on the amount of parallelism available, the ty...

We give two examples of algebraic fourfolds of general type with the same Betti numbers as the product of projective lines ( P )4 . Both examples are realized as quotients Γ\H of the product H of four copies of the upper half plane H by irreducible discrete groups of automorphisms. 2000 Mathematics Subject Classification 11F06, 22E40