LeVeque W. Topics in Number Theory 2002
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Textbook in PDF format
Volume 1
The Euclidean Algorithm and Its Consequences
Congruences
Primitive Roots and Indices
Quadratic Residues
Number-Theoretic Functions and the Distribution of primes
Sums of Squares
Pell’s Equation and Some Applications
Rational Approximations to Real Numbers
Volume 2
Binary Quadratic Forms
Algebraic Numbers
Applications to Rational Number Theory
The Thue-Siegel-Roth Theorem
Irrationality and Transcendence
The Prime Number Theorem