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COMPATIBILITY OF SPECIAL VALUE CONJECTURES WITH THE FUNCTIONAL EQUATION OF ZETA FUNCTIONS

Abstract : We prove that the special value conjecture for the Zeta function ζ(X , s) of a proper, regular arithmetic scheme X that we formulated in [8][Conj. 5.12] is compatible with the functional equation of ζ(X , s) provided that the factor C(X , n) we were not able to compute in loc. cit. has the simple explicit form suggested in [9].
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https://hal-cnrs.archives-ouvertes.fr/hal-03053374
Contributor : Baptiste Morin Connect in order to contact the contributor
Submitted on : Friday, December 11, 2020 - 7:22:39 AM
Last modification on : Friday, April 1, 2022 - 3:46:01 AM
Long-term archiving on: : Friday, March 12, 2021 - 6:31:50 PM

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Matthias Flach, Baptiste Morin. COMPATIBILITY OF SPECIAL VALUE CONJECTURES WITH THE FUNCTIONAL EQUATION OF ZETA FUNCTIONS. Documenta Mathematica, Universität Bielefeld, In press. ⟨hal-03053374⟩

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