Isogenies of elliptic curves over finite fields have been well-studied, in part because there are several cryptographic applications. Using Vélu’s formula, isogenies can be constructed explicitly given their kernel. Vélu’s formula applies to elliptic curves given by a Weierstrass equation. In this paper we show how to similarly construct isogenies on Edwards curves and Huff curves. Edwards and ...

A general algorithm for the construction of infinite periodic minimal surfaces (IPMS) via their Weierstrass function is outlined, enabling parameterisation of known examples, and forming the bases of a systematic search for all such surfaces. For the 'regular' class of IPMS (including the low genus surfaces) the Weierstrass function has a simple form, permitting a complete listing of all possib...

In this paper, we determine the radius of λ -uniform convexity, id="M2"> -starlikeness, and id="M3"> α -convexity order id="M4"> δ for Weierstrass canonical product an entire function as a root having smallest modulus argument id="M5"> ϕ functional equation. As special cases, also id="M6"> id="...