Covers a range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. This text also offers coverage of algebraic number theory, binary quadratic forms, Diophantine approximation, arithmetic functions, p-adic analysis, Dirichlet characters, density and primes.
INDICE: Algebraic Number Theory and Quadratic Fields. Ideals. Binary Quadratic Forms. Diophantine Approximation. Arithmetic Functions. Introduction to p-Adic Analysis. Dirichlet: Characters, Density, and Primes in Progression. Applications to Diophantine Equations. Elliptic Curves. Modular Forms. Appendix. Bibliography. Solutions to Odd-Numbered Exercises. Indices.
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