Stronger Than Riemann Mathematicians can now make statements about the distribution of prime numbers that are even stronger than those that the famous Riemann hypothesis predicts. The mathematician Jared Duker Lichtman explains how for Numberphile. The Riemann hypothesis is a conjecture about the zeros of the Riemann zeta function. In 2021, the mathematician Alex Kontorovich explained for Quanta how the function relates to the distribution of prime numbers. A Dark Discrepancy When cosmologists recently estimated the magnitude and timing of how dark energy affected the clustering of matter in the early universe, they were surprised to find that it could not explain the current distribution of matter, reports Mike Lemonick for Scientific American. Cosmologists refer to the mysterious difference between how matter should have clumped in the early universe and the clumping result seen today as the "sigma-8 tension." In a 2020 story for Quanta, Charlie Wood wrote about the tension and what it tells us about the history of our universe. | |