Download PDF by Haskell Curry: A theory of formal deducibility

By Haskell Curry

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8), we = 0 being k [Yk i~k q by (Yi)j is a p o w e r yj the : we definition may assume trivial. i~i i = 0 For and argue by induction k > 0 , =0 -q of the Y k = q - I 7i . 10 Conclusion. uniquely knowledge E(0) (A) The determined of a finite = -I the the = ~ A resp. 11) lattice by of the E(k) (A) the Drinfeld . 5) , a l r e a d y suffices. If w e is the put formula aq i 3 E (qi-1) i+j=k 3. ) T h u s , we write the functions set of c • ~A = ~cA o c resp. e. i = c 1 - q i. (a,A) li(a,cA) 1 For lattices A c A' corresponding in morphism C of the of D r i n f e l d same rank, modules let (compare u(A,A') be (I 2 .

Upper The rank (Essentially, = ~2 linear of over C stated, 2. G the all group the D-modules scheme in t h i s GL(2) with chapter center Z we are giving _ P1(K here a summary ) = C - K transformations. We . On define ~ the of Ch. III , G(K ) imaginary in acts [10]). I) Izli Trivial properties (i) K : inf {Iz-xl Ix 6 K locally compact, there exists x 6 K with ; = Izl i (ii) Izli = 0 ~=~ Z 6 K (iii) For c 6 K (iv) If Izl } . 2) with of d/ C for An easy y Id e t computation and 7' and , we have = ¥ £ G(K IYzl i = Proof.

Namely, are 45 {classes of ends of T } = Pic M F = F~ 6 G(K) and to describe with ~(~) : s a F-invariant function -I F~ , and we will at ~ . The group of of . Like A the lations ~' hood of of z I ~ such zero 0 > z+b in ~ b C e~ I . e. f = f o m is i n v a r i a n t v of f at s by that of contains fractional is i n v a r i a n t is a n identifies instance, to adjoin (Fs)~-1 with . There = 6 . P(1) So l e t s 6 ~I(K) function f on function function 6 • h .

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