... p-stabilization w(p) =(UpVp −V pUp )∗w =w| U p Vp −V pUp = w| 1−T p V p +[p]V p2 as in Definition (6.28), which is an eigenform of weight k on Y (Γ1 (p2)). In this section, we derive p-adic special value formulas for our anticyclotomic p ...

... p goes to infinity , the general nature of the difficulty remains unknown . It is best encapsulated in G. Higman's conjecture in [ 7 ] that the number of isomorphism classes of p - groups of order p " , for any fixed n , is a PORC function ...

... p ( consider the parametrization t H ( t ?, ) , valid over any field ) . The next values , less ' uniform in i ' than in the previous examples , are as follows . 2 M2 = p ( 2p – 1 ) M6 = p ( p2 + p - 1 ) ” ( = Mg = p ? ( 2p2 – 1 ) M3 ...

... P be a finite p - group for the prime p , F be a field of characteristic p and V be a finite - dimensional P - module over F. Then dim ( C√ ( P ) ) ≥ dim ( V ) / │P | . RATIONALE We refine the proof of Proposition 5 b ) and carry ...

... P'ansori : a modern p'ansori group padi ' something inherited ' : p'ansori piece developed and performed by 바디 master singers 배뱅이 굿 paebaengi gut shaman ritual for the ghost of Maiden Paebaengi from the northwest of Korea ...

... P levels 3 , 4 and 5 P levels 4 , 5 and 6 P levels 6 , 7 and 8 P level 8 and National Curriculum levels 10 and 1B 33 35 41 43 47 Language and Literacy : Writing P levels 3 , 4 and 5 P levels 4 , 5 and 6 P levels 5 , 6 and 7 P levels 7 ...

... ( p , p ' ) , the limited energy acceptance of the spectrograph is too restrictive . Therefore , a 3 cm thick intrinsic germanium detector telescope was used . Proton inelastic scattering data for 28si over the excitation energy range ...

... ( p - 1 ) < ep , we get the following pl − 6 + 1 / 2 ( p − 1 ) from Lemma 7.3 : ( b ) If m > np , then M ( m ) < M ( np ) . ( c ) If m < n / p , then M ( m ) < M ( n / p ) . Furthermore , M ( np ) = = ( p − 6 + 1 / 2 ( p − 1 ) ...

... p ' , a ‡ a ' 13.8 . To give an idea of definition of e , we shall describe one important case . The function ε is always defined on ( p , a ) ( p ' , a ' ) if p ( and both ( p , a ) , ( p ' , a ' ) are from Jord ( ) ) . Suppose ( p , a_ ) ...