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math.NT2016
A proof of the refined class number formula of Gross
Minoru Hirose
In 1988, Gross proposed a conjectural congruence between Stickelberger elements and algebraic regulators, which is often referred to as the refined class number formula. In this pa…
math.NT2016
Shintani zeta functions and a refinement of Gross's leading term conjecture
Minoru Hirose
We introduce the notion of Shintani data, which axiomatizes algebraic aspects of Shintani zeta functions. We develop the general theory of Shintani data, and show that the order of…