Complete resolution of the polynomial analogue of the Brocard–Ramanujan problem in mathematics

Dr. Wataru Takeda, Department of Mathematics at the Faculty of Science, Toho University, has completely solved the polynomial analogue of the long-standing Brocard–Ramanujan problem, originally proposed in 1876 and still unsolved in its integer form. The study appears in the February 2026 issue of the journal Finite Fields and Their Applications .

Key Points

Journal:
Finite Fields and Their Applications (Volume 110, February 2026; online publication: September 30, 2025)

Title:
Brocard–Ramanujan problem for polynomials over finite fields

Author:
Wataru Takeda*

DOI:
10.1016/j.ffa.2025.102731

Finite Fields and Their Applications

10.1016/j.ffa.2025.102731

Observational study

Not applicable

Brocard-Ramanujan problem for polynomials over finite fields

1-Feb-2026

The author hass no conflict of interest.