In this paper we show that there is a correspondence between some K3 surfaces with non-isometric transcendental lattices constructed as a twist of the transcendental lattice of the Jacobian of a generic genus 2 curve. Moreover, we show the existence of a correspondence between a general K3 surface with ρ = 17 and a Kummer surface having transcendental lattices Q-Hodge isomorphic.

Transcendental numbers play an important role in many areas of science. This paper contains a short survey on transcendental numbers and some relations among them. New inequalities for transcendental numbers are stated in Section 2 and proved in Section 4. Also, in relationship with these topics, we study the exponential function axioms related to the Yang-Baxter equation.

This paper introduces the notion of a transcendental problem motivated by the needs to engineer the system which can evolve as the situation changes. The problem is generally called transcendental if it addresses the solution adequacy of the system that is implemented without any provision for subsequent requirement changes. Subsequently, the transcendental problem evident in Turing’s test is a...

Large-scale competitive P2P systems are threatened by the noncooperation problem, where peers do not forward queries to potential competitors. While non-cooperation is not a problem in current P2P free file-sharing systems, it is likely to be a problem in such P2P systems as pay-per-transaction file-sharing systems, P2P auctions, and P2P service discovery systems, where peers are in competition...