6 citations · 11 across the 4 of their papers we have counts for
4 papers
Values of zeta functions of arithmetic surfaces at
S. Lichtenbaum, N. Ramachandran
We show that the recent conjecture of the first-named author for the special value at of the zeta function of an arithmetic surface is equivalent to the Birch-Swinnerton-Dyer…
The constant in the functional equation and derived extrior powers
Stephen Lichtenbaum
Let X be a regular scheme, projective and flat over the integers. Let A be the constant in the conjectured functional equation for the zeta-function of X. We give a conjecture comp…
Special Values of Zeta Functions of Schemes
Stephen Lichtenbaum
Let X be a regular scheme, projective and flat over Spec \mathbb Z. We give a conjectural formula, up to sign and powers of 2, for ζ^*(X,r), the leading term in the series expansio…
The Weil-Etale Topology for Number Rings
Stephen Lichtenbaum
We would like to construct a new Grothendieck topology for arithmetic schemes, whose cohomology groups associated with motivic complexes of sheaves are finitely generated and whose…