On a conjecture of Coleman concerning Euler systems

TL;DR

This paper proves Coleman's distribution-theoretic conjecture, providing an explicit description of all Euler systems for the multiplicative group over Q, advancing understanding of these mathematical objects.

Contribution

It offers a proof of Coleman's conjecture and explicitly characterizes all Euler systems for the multiplicative group over Q.

Findings

Proof of Coleman's distribution-theoretic conjecture

Explicit description of Euler systems for the multiplicative group over Q

Enhanced understanding of the structure of Euler systems

Abstract

We prove a distribution-theoretic conjecture of Robert Coleman, thereby also obtaining an explicit description of the complete set of Euler systems for the multiplicative group over Q.