After shocking the mathematics community with a major result in 2013, Yitang Zhang now says he has solved an analogue of the celebrated Riemann hypothesis.
Credit: George Csicsery/Zala Filmsnow claims to have solved another. The problem is similar to — but distinct from — the Riemann hypothesis, which is considered one of the most important problems in mathematics.
The Landau-Siegel zeros conjecture is similar to — and, some suspect, less challenging than — the Riemann hypothesis, another question on the randomness of primes and one of the biggest unsolved mysteries in mathematics. Although it has been known for millennia that there are infinitely many prime numbers, there is no way to predict whether a given number will be prime; only the probability that it will be, given its size.
The problem Zhang now says he has solved dates back to the turn of the twentieth century, when mathematicians were exploring ways to tame the randomness of prime numbers. One way to count them is to partition them into a finite number of baskets, based on the remainders one gets when dividing a prime by another prime, denoted by=5, a prime can give a remainder of 1, 2, 3 or 4.
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