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An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions
the zero-counting formulae Dirichlet $L$-functions Dedekind zeta-functions Number Theory
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2012/6/30
This paper contains new explicit upper bounds for the number of zeroes of Dirichlet L-functions and Dedekind zeta-functions in rectangles.
The local-global exact sequence for Chow groups of zero-cycles
zero-cycles local-global principle Brauer–Manin obstruction
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2012/6/27
A local-global sequence for Chow groups of zero-cycles involving Brauer groups has been conjectured to be exact for all proper smooth algebraic varieties. We apply existing methods to construct severa...
Transcendence degree of zero-cycles and the structure of Chow motives
algebraic cycles rational equivalence motives balanced corre-spondence
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2010/12/1
In the paper we introduce a transcendence degree of a zero-cycle on a smooth projective variety X and relate it to the structure of the motive of X.