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Fe P - Ei Iq . > o } - Eitan .co } N' : Eai 's } F={LInPlu( N' I - PDF document

b - an ai FO - b ) h A , - - IE Cn ] P a - . LITTLEWOOD - OFFORD PROBLEM r I rn . P 4936 < s A ERDE 's PAUL : special Case All ai > O : F - { I l za : - b ) En ) c' EI Spenner Fe P - Ei Iq . > o } - Eitan .co } N' :


  1. b - an ai FO - b ) h¥ A , - - IE Cn ] P a - . LITTLEWOOD - OFFORD PROBLEM r I rn .¥ P 4936 < s A ERDE 's PAUL : special Case All ai > O : F - { I l za : - b ) En ) c' EI Spenner Fe P - Ei Iq . > o } - Eitan .co } N' : Eai 's } → F={LInPlu( N' I > II ✓ Sterner

  2. ⇒ NEG 3.53 CORREIA STRONGLY . . Am events ER . , PCA =L Plain Aj )E¥ ME 6 - ind Ii Xi : y = [ Xi Var (4) 20 Uarcy )=§Var( kilt rlxixjl itj

  3. ÷ Cn ] → In ) permutation I → t IT ; ¥ bijection . ! Chief 4 ↳ o > O - Period p ( i. it ) = length of cycle 3- i p (5) = I p (4) =3 =k ) = 's - P ( per ← - III = n ! T = set of linear Cn ] orderings of Pfk ) 31524 TlH,),._# Tgi ) : j EC in order cadet , 4.171535566 → code Cut ( by : IT = code CH , ) =L = k ) =P ( I P ( merch

  4. ↳ Xlt )= # cycles of IT ( 4 Elxlnlnn EH )= lttzttt.r.tt - Hn harmonic number ¥ £ ICE ' ÷ FEE 's 's . . . . → Yi :=¥ , X - EY , ELX )=EEL% . ) n E( Yi )=¥ ( perlis - k ) =L Et kik T N , l babe I l - per h EU ) :& .,÷Hn=Hh

  5. 3. 57 - free :# fixed .pt FFEN even permutations of Cn ] FFON : - odd . . . . . = det ( J - I ) FFEN - FFON - =u5' cm , a' - oiiidsmt l ? . : { if a- I FFEEFFO , 0 sign - l C- ya - det =§sgaCHtTa Ling L DE fever . fears Ir : :3 ? I i in ace to

  6. spanning trees Counting : def a graph in 1848 Kirchhoff resistance electrical circuit I ⇐ Hell =p ,n set of nxu matrices . . , p - B { o B t Ma ( Fz ) , . ) 22h42 # ( 1343=0 - Kei " Izak B - - bj = bi ( BTB ) =L cig so . i ith ed

  7. 2nd solution , I totally isotropic subspace 0 ten of drink in i. e . f- x. y EU ) ( x. y = O ) . En ] → V fi : - ( fu , find B . . . . Mtk Bt B - O # f - " 912% @ % Bsf ( E ] I %

  8. ODD TOWN MAXIMAL SYSTEM CLUB ( Ac I = add . their Ajk even Cn ] ⑧ Case I n odd A - Cn ] take { A } maximal N ( Bl odd [ 1131=1 Baal - even } Cased neng Are - n - I Case 2 Not MAMMAL ⑦ attempt clubs . . . n

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