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that there exists a constant K such that every large integer is expressible as a sum of K or less primes. By refining Schnirelmanâ s method explicit estimates have been made for K [5, 61, the ...
+k,\alpha}( S ^2) \quad (0 \leq i \leq 3) $$ are smooth, where $$B_{r_{1},C^{4+k,\alpha }}(0)$$ stands for a metric ball in $$C^{4+k,\alpha }( S ^2)$$. Moreover, the following estimates hold: for $$j=0,1 ...
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