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math.NT2023
On the existence of Minkowski units
David Burns, Donghyeok Lim, Christian Maire
We investigate the Galois structure of algebraic units in cyclic extensions of number fields and thereby obtain strong new results on the existence of independent Minkowski -uni…
math.NT2023
On Weil-Stark elements, II: refined Stark conjectures
David Burns, Daniel Macias Castillo, Soogil Seo
The theory of Weil-Stark elements is used to develop an axiomatic approach to the formulation of refined versions of Stark's Conjecture. This gives concrete new results concerning…