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On the Dimension of Cohomology of Bianchi Groups
Dimension Cohomology Bianchi Groups Number Theory
2012/4/18
Using Lefschetz numbers of certain involutions, we provide lower bounds for the cuspidal cohomology of principal congruence subgroups of Bianchi groups. The asymptotic lower bounds that follow from ou...
A new two-dimension sieve method and the proof of the Goldbach's conjecture
sieve Goldbach conjecture
2011/9/21
This paper advanced a new two-dimension sieve method of using some deleted lines to sum formulae with some odd composites in formula columns for every even number >6, and proved a stronger Goldbach\&#...
Treatment of Incompatible Initial and Boundary Data for Parabolic Equations in Higher Dimension
Incompatible Initial Boundary Data
2010/11/24
A new method is proposed to improve the numeri- cal simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to space dimension one,...