St. Petersburg Mathematical Journal, 16. cilt,437-1077. sayfalarAmerican Mathematical Society, 2005 |
Kitabın içinden
79 sonuçtan 1-3 arası sonuçlar
Sayfa 521
... hence N ( e ) = 7 ; then N ( e − e¿ ) - - - = m = 7 and 4 for all i by . ( * ) , which implies ee ; = 3 , whence N ( e - e ; - ¤j ) = 1 + 2¤¿ · ej , and finally ej ⋅ Сj = 1 , because N ( e- ¤¿ − ej ) = 3 by ( ** ) . This shows that ...
... hence N ( e ) = 7 ; then N ( e − e¿ ) - - - = m = 7 and 4 for all i by . ( * ) , which implies ee ; = 3 , whence N ( e - e ; - ¤j ) = 1 + 2¤¿ · ej , and finally ej ⋅ Сj = 1 , because N ( e- ¤¿ − ej ) = 3 by ( ** ) . This shows that ...
Sayfa 524
... hence d≥ 489 > 69.28 ... ; similarly , if min A ≥ , we have > ( 4d ) 179 , ( A * ) > d1 / 9 , hence d < ( 3 ) 99 < 71.02 .... Thus , we have just proved that d must be equal to 70 or 71. Since these integers are square free , d is the ...
... hence d≥ 489 > 69.28 ... ; similarly , if min A ≥ , we have > ( 4d ) 179 , ( A * ) > d1 / 9 , hence d < ( 3 ) 99 < 71.02 .... Thus , we have just proved that d must be equal to 70 or 71. Since these integers are square free , d is the ...
Sayfa 525
... hence d≤ 28 , and in fact d < 28 , because A is not similar to Eg . Calculating ( even ) , we obtain the bound 4 ( 4d ) -1/8 < 2 , i.e. , d > 26. Hence we have 8 < h < 16 . Let ( E1 , ... , Eg ) be the canonical basis for Z8 , set H ...
... hence d≤ 28 , and in fact d < 28 , because A is not similar to Eg . Calculating ( even ) , we obtain the bound 4 ( 4d ) -1/8 < 2 , i.e. , d > 26. Hence we have 8 < h < 16 . Let ( E1 , ... , Eg ) be the canonical basis for Z8 , set H ...
İçindekiler
A Kokotov and B Plamenevskii On the asymptotics of solutions | 477 |
J Martinet and B Venkov On integral lattices having an | 507 |
A A Pekarskii Bernsteintype inequalities for the derivatives of rational | 541 |
Telif Hakkı | |
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algebra angle apply approximation arbitrary assume asymptotics belongs boundary bounded braid closed coefficients commutative complex condition cone Consequently consider constant construction contains continuous convergence Corollary corresponding curvature curve defined definition denote depend differential dimension domain element English transl equal equation estimate example exists fact finite formula function geodesic given groups Hence homomorphism implies inequality integral interval lattice Lemma Math Mathematical matrix means measure method metric minimal Moreover norm normal Note obtain operator pair particular points positive present problem Proof Proposition prove regular relation Remark respectively root satisfies side solutions space spectrum statement subgroups suffices Suppose surface Theorem theory transformation triangle true unique values vectors weight zero