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arXiv · 2606.01453

Distinguished defining polynomials for extensions of p-adic fields

Jordi Guàrdia i Rúbies·John W. Jones·Kevin Keating·Sebastian Pauli·David P. Roberts·David Roe
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Abstract

We give an algorithm for choosing a distinguished defining polynomial for a p-adic field extension. This algorithm formed an important ingredient in the recent expansion of the database of p-adic fields within the L-functions and modular forms database.

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Jordi Guàrdia i Rúbies, John W. Jones, Kevin Keating, Sebastian Pauli, David P. Roberts, David Roe. 2026-05-31. Distinguished defining polynomials for extensions of p-adic fields. https://arxiv.org/abs/2606.01453

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