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A note on Freiman models in Heisenberg groups
Freiman models Heisenberg groups Number Theory
2012/7/11
Green and Ruzsa recently proved that for any $s\ge2$, any small squaring set $A$ in a (multiplicative) abelian group, i.e. $|A\cdot A|a Freiman $s$-model: it means that there exists a grou...
A Note on Terence Tao's Paper "On the Number of Solutions to 4/p=1/n_1+1/n_2+1/n_3"
Terence Tao's Paper Number of Solutions Number Theory
2011/9/21
Abstract: For the positive integer $n$, let $f(n)$ denote the number of positive integer solutions $(n_1,\,n_2,\,n_3)$ of the Diophantine equation $$ {4\over n}={1\over n_1}+{1\over n_2}+{1\over n_3}....