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7/29/2019 Dedekind Zeta Functions and the Complexity of Hilbert's Nullstellensatz
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R e ( s ) =
0
Z e r o e s
i n s t r i p m u s
t l i e o n
R e ( s ) =
1 / 2
R e ( s ) =
0
R e ( s ) =
1
R e ( s ) =
0
R e s ) =
1
R e ( s ) =
1
GRH DZH KNOWN
DontCare
DontCare
Im(s)=0 Im(s)=0 Im(s)=0
Zeroes
NO NO
Zeroes
NO
Zeroes
NO
Zeroes
?
Sufficiently
Effective
Density
Estimate
Dependenceof
Density
Kon
unknown
(1+[K:Q]+log d )Kc
7/29/2019 Dedekind Zeta Functions and the Complexity of Hilbert's Nullstellensatz
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7/29/2019 Dedekind Zeta Functions and the Complexity of Hilbert's Nullstellensatz
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7/29/2019 Dedekind Zeta Functions and the Complexity of Hilbert's Nullstellensatz
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7/29/2019 Dedekind Zeta Functions and the Complexity of Hilbert's Nullstellensatz
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7/29/2019 Dedekind Zeta Functions and the Complexity of Hilbert's Nullstellensatz
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