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math.NT2016★ 1 cited
On the theory of higher rank Euler, Kolyvagin and Stark systems
David Burns, Takamichi Sano
Mazur and Rubin have recently developed a theory of higher rank Kolyvagin and Stark systems over principal artinian rings and discrete valuation rings. In this article we describe…
math.NT2016
On Stark elements of arbitrary weight and their -adic families
David Burns, Masato Kurihara, Takamichi Sano
We develop a detailed arithmetic theory related to special values at arbitrary integers of the Artin -series of linear characters. To do so we define canonical generalized Stark…