Abstract / Description of output
A sharp bound is obtained for the number of ways to express the monomial Xn as a product of linear factors over Z/pαZ. The proof relies on an induction-on-scale procedure which is used to estimate the number of solutions to a certain system of polynomial congruences. The method also applies to more general systems of polynomial congruences that satisfy a non-degeneracy hypothesis.
Original language | English |
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Pages (from-to) | 255-282 |
Journal | Journal de Théorie des Nombres |
Volume | 31 |
Issue number | 1 |
DOIs | |
Publication status | Published - 28 Jul 2019 |