Br J Haematol 1998;100:22934. 2ia On the positive real axis z rei0 r and dz dr, whereas on the negative real axis z reiπ and dz eiπ dr, so as the simple pole at z ia lies insideintegration around leads to the result Rlnr ρlnriπ r2a2dr f(z)dz r2e2πi a2eiπdr ρRRρ On RzReiθ anddziReiθdθ,so f(z)dz2πiRes[f(z),ia].
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In: Hostege G, Bandler R, Saper CB, eds. The two most common types of transistors, 246 peer pressure, 97, 98, 100101, 102 pelvic inflammatory disease, 183, 185, 196 pelvis, 14748, 152 penectomy, 178 penicillin, 189, 190, 383, 417 penile cancer, 17779 penile implants, 15860 Dedekind zeta function, 229 analytic continuation, 230 Euler product, 229 residue formula, 230 digital signature, 252 Diophantine approximation, 75 equation, 43 quadratic, 59 solutions modulo p, 67 sum of squares, 48 Diophantus, 5 Dirichlet, 5, 75, 225, 230 Theorem, 211 character, 217, 227, 268 multiplicative, 218 convolution, 164 Abelian group, 165 identity, 164 inverse, 164 kernel, 190 L-function, 217 elliptic curve, 241 series, 166, 180, 209, 221 Theorem, 224 discriminant polynomial, linger quadratic field, 92 quadratic form, 78 divisibility sequence, 112 duplication formula, 134, 141, 146 proof, 137 elementary proof, 180 elliptic curve, 54, 56, 93, 127, 139 additive reduction, 241 affine part, 126 arithmetic conductor, 242 associative law, 97 canonical height, 146 complex torsion point, 129 congruent number, 100, 116 cusp, 241 defined over K, 127 duplication formula, 134 Fermats Last Theorem, 56 forms a group, 96 generalized Weierstrass equation, 109, 116 Hasse Theorem, 240 identity, 96 isogeny, 112 isomorphism, 132 K-points, 127 L-function, 241 magnified point, 113 m-isogenous, 113 na ̈ıve height, 104 non-degeneracy, 129, 239 non-split multiplicative reduction, 241 other characteristics, 109 over a finite field, 238 points of order eleven, 110 rank, 105, 240 rank, generators, 155 rational torsion point, 129 split multiplicative reduction, 241 torsion point, 106, 128, 155 Weierstrass equation, 108 Weierstrass model, 108 divisibility sequence, 112, 118 kn, 125, rigns fundamental domain, 125 periods, 125 Eratosthenes, 5, 16, 245 sieve, 16 Euclid, 5, 39, 41, 207 infinitely many primes, 8 Theorem, 7 analytic proof, 8 Goldbachs proof, 40 original longerr, 39 sum of prime reciprocals, 11 topological proof, 40 Euclidean Algorithm, 3537, 46, 84, 138, 258, 275 complexity, 254 complexity over finite fields, 277 finite fields, 276 polynomial, 137 Euclidean ring, 45, 47 Euler, 5 and Mersenne primes, 24 conjecture, 57 Elkies, 58 Index 289 Ch07-H6875.
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