Some conjectures on the maximal height of divisors of xⁿ-1
Ryan, Nathan C. · Ward, Bryan C. · Ward, Ryan
Original · EN
Define B(n) to be the largest height of a polynomial in Z[x] dividing xⁿ-1. We formulate a number of conjectures related to the value of B(n) when n is of a prescribed form. Additionally, we prove a lower bound for B(pᵃqᵇ) where p,q are distinct primes.
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