English

Compatibility of Special value conjectures with the functional equation of Zeta functions

Number Theory 2020-05-12 v1

Abstract

We prove that the special value conjecture for the Zeta function of a proper, regular arithmetic scheme X that we formulated in our previous article [8] is compatible with the functional equation of the Zeta function provided that the factor C(X,n) we were not able to compute in loc. cit. has the simple explicit form suggested in [9].

Keywords

Cite

@article{arxiv.2005.04829,
  title  = {Compatibility of Special value conjectures with the functional equation of Zeta functions},
  author = {Matthias Flach and Baptiste Morin},
  journal= {arXiv preprint arXiv:2005.04829},
  year   = {2020}
}