Introduction to the Theory of NumbersWiley, 1983 - 459 pages |
Contents
Divisibility and Other Beginnings | 1 |
The Unique Factorization Theorem | 22 |
Arithmetic Functions | 47 |
Copyright | |
25 other sections not shown
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Common terms and phrases
0(x log a₁ abelian group arithmetic function arithmetic progressions assertion Bertrand's Postulate character modulo congruence convolution Corollary coset defined Definition denote Dirichlet Disquisitiones Arithmeticae divides divisible element equations equivalent Erdos estimate Euler EXERCISES exists Fermat following lemma following theorem formula Gauss given integer greatest common divisor H₁ H₂ hence identity implies induction integer coefficients Legendre log log log n log log x log² log²x m₁ Mathematical Möbius Möbius inversion formula mod pº nonresidue number of positive number of solutions O(log obtain odd perfect number odd prime ord g p₁ polynomial positive integer Prime Number Theorem proof Prove quadratic nonresidue Quadratic Reciprocity Law quadratic residue reduced residue system relatively prime representation residue classes Show solutions modulo squarefree sufficiently large Unique Factorization Theorem x₁ yields Σ μ Σ Σ ΣΣ