2026/07/19 by Pang Ern Thang
#math.NT
We present an expository proof of the irrationality of ζ(3) using modular forms of level 6. By constructing a suitable Eichler integral, we obtain a power series with controlled denominators and sufficiently large radius of convergence. Beukers' irrationality criterion then implies that ζ(3) is irrational.