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On Estimates of the Kolmogorov Widths of the Classes(B_{p,q}^r)in the Space Lq

โœ Scribed by A. S. Romanyuk


Book ID
110321574
Publisher
Springer
Year
2001
Tongue
English
Weight
103 KB
Volume
53
Category
Article
ISSN
0041-5995

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On the Parity of the Class Number of the
โœ Michal Bulant ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 406 KB

If ( pร‚q)=( pร‚r)=(qร‚r)=&1, fix u pq , u pr , u qr # Z satisfying u 2 pq #pq (mod r), u 2 pr #pr (mod q), u 2 qr #qr (mod p). Then h is even if and only if (u pq ร‚r)(u pr ร‚q)(u qr ร‚p)=&1. 2. If ( pร‚q)=1, ( pร‚r)=(qร‚r)=&1, then the parity of h is the same as the parity of the class number of the biqua