We present 75 new examples of complex quadratic fields that have 5-rank of their class groups $\geqslant3$. Only one of these fields has 5-rank of its class group >3 ...

In this paper, we study the problem that minimizes or maximizes a multi-order complex quadratic form with constant-modulus constraints on all elements of the optimization variable. This mathematical ...

Abstract: It has been known for a long time that quadratic modular number codes admit an unusual representation of complex numbers which leads to complete decoupling ...

Here’s what you’ll learn when you read this story: A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help ...