Abstract: In this correspondence, the constructions and enumerations of all bent functions represented by a polynomial form of f(x)=/spl Sigma//sub i=1//sup n/2-1/c/sub i/Tr(x/sup 1+2(i)/)+c/sub ...

This is a preview. Log in through your library . Abstract A method used by Kac in the study of Wiener functionals is adapted to the problem of calculating in closed form the joint moment generating ...

The leitmotif of these Notes is the idea of a vertex operator algebra (VOA) and the relationship between VOAs and elliptic functions and modular forms. This is to some extent analogous to the ...

We define theta functions attached to indefinite quadratic forms over real number fields and prove that these theta functions are Hilbert modular forms by regarding them as specializations of ...

The eight-vertex model at the reflectionless points is considered on the basis of Smirnov's axiomatic approach. Integral formulae for form factors of the eight-vertex model can be obtained in terms of ...

Abstract: Several studies have succeeded to correlate natural image statistics with receptive field properties of neurons in the primary visual cortex such as simple cells. However, complex cell ...