New research reveals why even state-of-the-art large language models stumble on seemingly easy tasks—and what it takes to fix ...

We construct and study two series of curves whose Jacobians admit complex multiplication. The curves arise as quotients of Galois coverings of the projective line with Galois group metacyclic groups G ...

Optical computing uses photons instead of electrons to perform computations, which can significantly increase the speed and energy efficiency of computations by overcoming the inherent limitations of ...

Multiplication is a fundamental skill in mathematics, but some number combinations can appear tricky. Imagine being able to quickly multiply numbers like 35 x 35 or 65 x 65 in your head, almost ...