Divisibility properties of values of partial zeta functions at non-positive integers

作者：Smith Barry R^*

来源：Mathematische Zeitschrift, 2012, 270(3-4): 645-657.

DOI：10.1007/s00209-010-0817-z

• L-function
• Brumer's conjecture
• Coates-Sinnott conjecture

We conjecture a new bound on the exact denominators of the values at non-positive integers of imprimitive partial zeta functions associated with an Abelian extension of number fields. At s = 0, this conjecture is closely connected to a conjecture of David Hayes. We prove the new conjecture assuming that the Coates-Sinnott conjecture holds for the extension.

• 出版日期2012-4