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Unformatted text preview: (126.96.36.199) we must show (Pk 1) ---(- 1)k mod p for Ogk<_p-1 ~, ( - t)k [p~f(1) dP e-: f(2) (188.8.131.52) k+e=p-l,e*0 -- Pk (f(2)) de e-' f(1)] e dr(V, (gv) Re-indexing the summation by k and re=Y-1, (184.108.40.206) becomes (re- membering that (- 1) k+l -(- !) m mod p) (- 1) k nkf(1) dn"f(2) (220.127.116.11) k+m=p-Z + ~ (- 1)"1Pk(f(2)) de'f(l)edF(V, (gv). k+m=p--2 This is the case; in fact, the left member of (18.104.22.168) is (22.214.171.124) d( E (_ 1)kpk(f(1)) P'(f(2))). k+m=p-2 This proves (126.96.36.199) in case b = 2, and gives a hint of the combinatorial rearrangements necessary in the general case. (3.5.4) We now turn to the general case. We adopt the convention that a product indexed by a subset of Z is to be taken in increasing order, and...
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This note was uploaded on 12/21/2011 for the course MAP 4341 taught by Professor Normankatz during the Fall '11 term at UNF.
- Fall '11