M. Baker

collaborators

3 papers

math.NT2026

The sesquicentennial of the prime number $2^{127} - 1$

Matthew Baker

The year 2026 marks the 150th anniversary of a remarkable achievement in mathematics: in 1876, the French mathematician Édouard Lucas showed that the 39-digit number $M_{127} := 2^…

math.NT2026

Zolotarev's Magical Proof of Quadratic Reciprocity

Matthew Baker

We present a creative reimagining of Zolotarev's classical proof of the Law of Quadratic Reciprocity.

math.CO2025

Necklaces, permutations, and periodic critical orbits for quadratic polynomials

Matthew Baker, Andrea Chen, Sophie Li +1

Let $G_{n}$ denote the $n^{th}$ Gleason polynomial, whose roots correspond to parameters $c$ such that the critical point $0$ is periodic of exact period $n$ under iteration of $…

The sesquicentennial of the prime number 2127−1

Zolotarev's Magical Proof of Quadratic Reciprocity

Necklaces, permutations, and periodic critical orbits for quadratic polynomials

The sesquicentennial of the prime number $2^{127} - 1$