Functional equation conjecture for zeta functions of arithmetic schemes
Functional equation conjecture for zeta functions of arithmetic schemes
Let be a regular scheme of dimension , proper and flat over . Let be its Bloch conductor and let
be the completed zeta function, where is the archimedean Euler factor.
Functional equation conjecture. The function should have a meromorphic continuation to all and satisfy
This is the expected functional equation for the completed zeta function and is used in the paper to compare the special value conjecture at and . The supplied text gives no evidence that this conjecture has been resolved.
Sources & referencesView supporting material
Primary source
Matthias Flach and Baptiste Morin, “Compatibility of Special value conjectures with the functional equation of Zeta functions”, arXiv:2005.04829 (2020).
Additional references
2 papers in this index state this conjecture (2010–2020). The statement above is taken from the most recent of them; the others are arXiv:1002.0554.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
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