A generalization of jarnik's theorem on diophantine approximations
โ Scribed by I Borosh; A.S Fraenkel
- Publisher
- Elsevier Science
- Year
- 1972
- Weight
- 501 KB
- Volume
- 75
- Category
- Article
- ISSN
- 1385-7258
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๐ SIMILAR VOLUMES
We investigate rational approximations รฐr=p; q=pร or รฐr=p; q=rร to points on the curve รฐa; a t ร for almost all a > 0; where p; q; r are all primes. We immediately obtain corollaries on making p; ยฝap; ยฝa t p simultaneously prime. # 2002 Elsevier Science (USA)
The work is devoted to the calculation of asymptotic value of the choice number of the complete r-partite graph K m \* r = K m,. ..,m with equal part size m. We obtained the asymptotics in the case ln r = o(ln m). The proof generalizes the classical result of A.L. Rubin for the case r = 2.