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2 articles

articles

math.NT2026-07-014 minarXiv:2607.00282
Every Ninth Zero: A Mathematical Sieve on the River of Primes
In the infinite river of integers, where whirlpools of primes swirl, mathematicians have been sifting sand for centuries in search of golden nuggets — the zeros of L‑functions. These enigmatic objects, discovered by Riemann in 1859, act like an invisible hand governing the distribution of primes.
math.NT2026-08-012 minarXiv:2608.00615express
Numbers Hide Patterns
In 1998, mathematician David Boyd noticed something strange. He was studying the Mahler measure of polynomials, a quantity that gauges the "complexity" of their roots, and found that for a family of curves, it always equals a special rational number times the derivative of an L-function.