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 ...

Abstract: We introduce large groups of quadratic transformations of a vector space over the finite fields defined via symbolic computations with the usage of algebraic constructions of Extremal Graph ...

Quadratic functions are essential in the world of mathematics and have a wide range of applications in various fields, such as physics, engineering, and finance. An inverse function can be thought of ...

The linear and quadratic response functions have been derived for an exact state, based on an exponential parametrization of the time evolution consisting of products of exponentials for orbital ...