For the Artin-Schreier curve y − y = f(x) defined over a finite field Fq of q elements, the celebrated Weil bound for the number of Fqr -rational points can be sharp, especially in supersingular cases and when r is divisible. In this paper, we show how the Weil bound can be significantly improved, using ideas from moment L-functions and Katz’s work on `-adic monodromy calculations. Roughly spea...

We use Fraunhofer diffraction theory and meterological data to determine the nature of cloud-particle distributions and the mean particle sizes required for interpreting photographs of coronas and iridescence in mountain wave clouds. Traditional descriptions of coronas and iridescence usually explain these optical phenomena as diffraction by droplets of liquid water. Our analysis shows that the...

abstract the ability to monitor particular microorganism in an environment is a difficult task. many genes permit the differentiation of strains by conferring production of unique phenotypes such as bioluminescence [marine bacterial luciferase (luxab)]. therefore, lux-ab gene was cloned into two endemic plant pathogens pseudomonas syringae and ralostonia solanacearum by electrotransformation. l...

By a proof by assumption, or for short an assumption proof, I mean the following. The proof proves a conclusion of the form ‘If P then Q’. It proceeds by making a sequence of statements S1, . . . , Sn (possibly with added commentary), where P is S1, Q is Sn, and for each Si with i > 1 there are earlier Sj . . . such that the conditional ‘If Sj . . . , then Si’ is already known. The reason for c...

The Bled eConference quite often gets connected to the notion of eRegion. Therefore in this paper we will have a closer look at how the idea of an eRegion has been addressed by the conference over the past. After briefly looking at the emergence of the term eRegion, we summarize the contribution of the Bled eConference to the field of eRegion in the Research Track as well as in the Business Tra...