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91 sonuçtan 1-3 arası sonuçlar
Sayfa 15
Discriminant forms , local and global invariants , including the oddity formula , are
treated in detail . A general formula is proved for the weight of representations of
a form by a given genus . The second chapter is devoted to applications to the ...
Discriminant forms , local and global invariants , including the oddity formula , are
treated in detail . A general formula is proved for the weight of representations of
a form by a given genus . The second chapter is devoted to applications to the ...
Sayfa 16
INTRODUCTION The Siegel formula ( see ( 13 ] ) for the mass h m ( I ) = m ( G ) 1
Σ o ( G ; ) i = 1 of the genus I = [ G ] of a positive definite quadratic form G of
dimension k > 2 , where the Gį range over the set of improper classes of I , and o (
G ...
INTRODUCTION The Siegel formula ( see ( 13 ] ) for the mass h m ( I ) = m ( G ) 1
Σ o ( G ; ) i = 1 of the genus I = [ G ] of a positive definite quadratic form G of
dimension k > 2 , where the Gį range over the set of improper classes of I , and o (
G ...
Sayfa 62
As in Subsection 10.4 , formulas ( 10.4 ) and ( 10.5 ) yield N ( A , 9 ) / N ( A , A ' ) =
pon . This relation and formula ( 10.12 ) imply that ( 10.14 ) N ( A , A ' ) = g ( n ) p -
s ( n - 1 ) / 2mp ( A ) -1 . Since a ( n ) – s ( n − 1 ) / 2 = vp ( | A ' ] ) ( n − 1 ) / 2 ...
As in Subsection 10.4 , formulas ( 10.4 ) and ( 10.5 ) yield N ( A , 9 ) / N ( A , A ' ) =
pon . This relation and formula ( 10.12 ) imply that ( 10.14 ) N ( A , A ' ) = g ( n ) p -
s ( n - 1 ) / 2mp ( A ) -1 . Since a ( n ) – s ( n − 1 ) / 2 = vp ( | A ' ] ) ( n − 1 ) / 2 ...
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İçindekiler
REPRESENTATION OF A FORM | 17 |
10 The automorphism groups of discriminant forms | 59 |
12 A general formula for the weight of representations | 65 |
Telif Hakkı | |
5 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
apply arbitrary assume assumptions asymptotics bases basis belongs boundary bounded classical coefficients coincides compact complex condition Consequently consider constant construction contains continuous convex corresponding curve decomposition defined definition denote depends described determined differential dimension direct discrete domain eigenfunctions eigenvalues elements English equal equation estimate example exists factor field finite fixed formula function given gives graph implies independent inequality integral introduce invariant lattice Lemma limit linear manifolds Math Mathematical matrix measure method Moreover observe obtain operator orbits particular periodic perturbation Phys positive potential present problem Proof properties Proposition prove quantum relation Remark representations respect restriction result satisfies similar smooth solutions space spectral spectrum statement Subsection sufficiently surface symbol Theorem theory transformation transl unique values vector