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COMPATIBILITY OF SPECIAL VALUE CONJECTURES WITH THE FUNCTIONAL EQUATION OF ZETA FUNCTIONS
MORIN, Baptiste
Institut de Mathématiques de Bordeaux [IMB]
Centre National de la Recherche Scientifique [CNRS]
Institut de Mathématiques de Bordeaux [IMB]
Centre National de la Recherche Scientifique [CNRS]
MORIN, Baptiste
Institut de Mathématiques de Bordeaux [IMB]
Centre National de la Recherche Scientifique [CNRS]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
Centre National de la Recherche Scientifique [CNRS]
Language
en
Article de revue
This item was published in
Documenta Mathematica. 2021, vol. Doc. Math. 26, n° 26, p. 1633-1677
Universität Bielefeld
English 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 ...Read more >
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].Read less <
Origin
Hal imported