Mathematics students face challenges with rational and irrational numbers. Understanding the principles and patterns ...

Irrational numbers are all the real numbers that aren't rational, meaning their decimal expansions don't repeat. Some well-known examples include pi, e, the square root of 2, and the golden ratio.

Meanwhile, L-functions — which are like the zeta function but have varying numerators — govern the distribution of primes in more complicated number systems. Over the past 50 years, L -functions have ...