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math.GM2009
On the honeycomb conjecture and the Kepler problem
Fu-Gao Song, Francis Austin
This paper views the honeycomb conjecture and the Kepler problem essentially as extreme value problems and solves them by partitioning 2-space and 3-space into building blocks and…
math.GM2008
Sifting Function Partition for the Goldbach Problem
Fu-Gao Song
All sieve methods for the Goldbach problem sift out all the composite numbers; even though, strictly speaking, it is not necessary to do so and which is, in general, very difficult…
math.GM2008
From Bombieri's Mean Value Theorem to the Riemann Hypothesis
Fu-Gao Song
From Bombieri's mean value theorem one can deduce the prime number theorem being equivalent to the Riemann hypothesis and the least prime P(q) satisfying P(q)= O(q^2 [ln q]^32) in…