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Hugh L. Montgomery
An Introduction to the Theory of Numbers
An Introduction to the Theory of Numbers
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Divisibility.
Congruences.
Quadratic Reciprocity and Quadratic Forms.
Some Functions of Number Theory.
Some Diophantine Equations.
Farey Fractions and Irrational Numbers.
Simple Continued Fractions.
Primes and Multiplicative Number Theory.
Algebraic Numbers.
The Partition Function.
The Density of Sequences of Integers.
Appendices.
General References.
Hints.
Answers.
Index.
Congruences.
Quadratic Reciprocity and Quadratic Forms.
Some Functions of Number Theory.
Some Diophantine Equations.
Farey Fractions and Irrational Numbers.
Simple Continued Fractions.
Primes and Multiplicative Number Theory.
Algebraic Numbers.
The Partition Function.
The Density of Sequences of Integers.
Appendices.
General References.
Hints.
Answers.
Index.
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