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Journal Articles Documenta Mathematica Year : 2021

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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Dates and versions

hal-03053374 , version 1 (11-12-2020)

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  • HAL Id : hal-03053374 , version 1

Cite

Matthias Flach, Baptiste Morin. COMPATIBILITY OF SPECIAL VALUE CONJECTURES WITH THE FUNCTIONAL EQUATION OF ZETA FUNCTIONS. Documenta Mathematica, 2021, Doc. Math. 26 (26), pp.1633-1677. ⟨hal-03053374⟩

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