There exist two different generalizations of the classical Saito–Kurokawa lifting to modular forms with (square-free) level; one lifting produces modular forms with respect to Γ0(m), the other one with respect to the paramodular group Γ(m). We shall give an alternative and unified construction of both liftings using group theoretic methods. The construction shows that a single elliptic modular ...

An important code of length n is obtained by taking centralizer of a square matrix over a finite field Fq. Twisted centralizer codes, twisted by an element a ∈ Fq, are also similar type of codes but different in nature. The main results were embedded on dimension and minimum distance. In this paper, we have defined a new family of twisted centralizer codes namely generalized twisted centralizer...

7 Generalized maps are widely used to model the topology of nD objects (such as images) by means of incidence and adjacency relationships between cells (vertices, edges, faces, volumes, ...). In this paper, we introduce distance measures for comparing generalized maps, which is an important issue for image processing and analysis. We introduce a first distance measure which is defined by means ...

background: c-reactive protein (crp) is an acute phase reactant and has been proved to be a significant predictor of future cardiovascular events. recent studies have demonstrated a correlation between periodontitis and elevated crp levels. however, comparison between the levels of crp in two main forms of periodontitis is ambiguous. this study aims at determining and comparing the relative lev...

We propose a new method to construct a four parameter family of quantum-mechanical point interactions in one dimension, which is known as all possible self-adjoint extensions of the symmetric operator T = −∆⌈C 0 (R\{0}). It is achieved in the small distance limit of equally spaced three neighboring Dirac’s δ potentials. The strength for each δ is appropriately renormalized according to the dist...

petroleum contamination of soil is a serious problem throughout the oil producer countries. vegetation may play an important role in the biodegradation of toxic organic chemicals in soil. for petroleum compounds, the presence of rhizosphere micro flora may accelerate biodegradation of the contaminants. in a greenhouse study, petroleum contaminated soil were treated using phytoremediation . the ...

Mahler’s measure is generalized to create the class of multiplicative distance functions. These functions measure the complexity of polynomials based on the location of their zeros in the complex plane. Several examples of multiplicative distance functions are given including those formed from equilibrium potentials of compact connected subsets of C. To each multiplicative distance function we ...

In this note, we prove the uniqueness of the one-point extension S of a generalized hexagon of order 2 and prove the non-existence of such an extension S of any other finite generalized hexagon of classical order, different from the one of order 2, and of the known finite generalized octagons provided the following property holds: for any three points x, y and z of S, the graph theoretic distan...

The relationship between directional derivatives of generalized distance functions and the existence of generalized nearest points in Banach spaces is investigated. Let G be any nonempty closed subset in a compact locally uniformly convex Banach space. It is proved that if the one-sided directional derivative of the generalized distance function associated to G at x equals to 1 or −1, then the ...

The Krotov combining construction of perfect 1-error-correcting binary codes from 2000 and a theorem of Heden saying that every non-full-rank perfect 1-errorcorrecting binary code can be constructed by this combining construction is generalized to the q-ary case. Simply, every non-full-rank perfect code C is the union of a well-defined family of μ̄-components Kμ̄, where μ̄ belongs to an “outer” pe...