What question did this study set out to answer?

The research aims to demonstrate Galois equidistribution for torsion points within the p-adic framework.

March 12, 2026Open Access

p‐adic equidistribution and an application to S‐units

Q: What does this research mean for the field?

A Galois equidistribution result for torsion points in the p-adic setting is established, including a power saving quantitative estimate of the decay rate of the equidistribution. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

Key Points

The research aims to demonstrate Galois equidistribution for torsion points within the p-adic framework.
Proved a Galois equidistribution result for torsion points in the p-adic context.
Utilized test functions defined by nonzero polynomials with coefficients in complex p-adic numbers.
Provided a quantitative estimate of the decay rate of equidistribution.
Established that Ih's Conjecture holds true for a specific class of divisors.
Presented a power saving estimate related to equidistribution rates.

Abstract

Abstract We prove a Galois equidistribution result for torsion points in in the ‐adic setting for test functions of the form where is a nonzero polynomial with coefficients in the field of complex ‐adic numbers. Our result includes a power saving quantitative estimate of the decay rate of the equidistribution. As an application we show that Ih's Conjecture is true for a class of divisors of .

p‐adic equidistribution and an application to S‐units

Key Points

Abstract

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