An extension of the Fukaya–Kato method
Romyar Sharifi
University of California, Los Angeles, USA

Abstract
In a groundbreaking paper, T. Fukaya and K. Kato proved a slight weakening of a conjecture of the author under an assumption that a Kubota–Leopoldt -adic -function has no multiple zeros. This article describes a refinement of their method that sheds light on the role of the -adic -function.
Cite this article
Romyar Sharifi, An extension of the Fukaya–Kato method. J. Eur. Math. Soc. 28 (2026), no. 7, pp. 2877–2943
DOI 10.4171/JEMS/1519