Dr. Katz DEq Homework Solutions 90

Dr. Katz DEq Homework Solutions 90 - 90 N.M Katz...

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90 N.M. Katz: 0<(x)<l (6.5.0.1) x~ (x) modulo Z. As real valued function, it satisfies (x) =0r ((x)+(x))=(x+y) (6.5.0.2) (x)=(y)c~x--y mod Z (x)+(-x)=l if xeZ. (6.5.1) For any prime number p, and any ~Qc~Zp (i.e., any rational number with denominator prime to p), we define Rp(a) to be the unique integer such that O< Rp(~t)<=p- I (6.5.1.0) = Rp (a) modulo p (Q r~ Zp). As function from Q n Zp to {0, 1 ..... p- 1 } = Z, it satisfies
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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.

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