Irreducibility of random polynomials of large degree — mentioned by segfaultbuserr

Fri, 11 Jan 2019 16:19:46 GMT

https://arxiv.org/abs/1810.13360

Paper and discussion history. A mention is not an endorsement.

Irreducibility of random polynomials of large degree — mentioned by segfaultbuserr

Fri, 11 Jan 2019 16:13:04 GMT

This is the actual paper. https://arxiv.org/abs/1810.13360 It's worth noticing that Riemann Hypothesis is assumed in the proof, as I layman, I think it means the proof merely gives us more confidence about the difficulty of integer factorization. But integer factorization itself still remains an open question. > Abstract. We consider random polynomials with independent identically distributed coefficients with a fixed law. Assuming the Riemann hypothesis for Dedekind zeta functions, we prove that such polynomials are irreducible and their Galois groups contain the alternating group with high…

Paper and discussion history. A mention is not an endorsement.

Irreducibility of random polynomials of large degree · HackerPapers discussions

Irreducibility of random polynomials of large degree — mentioned by segfaultbuserr

Irreducibility of random polynomials of large degree — mentioned by segfaultbuserr