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Analytic Number Theory and Diophantine Problems

The following sources are recommended by a professor whose research specialty is analytic number theory.


Six Superlative Sources

· R. C. Baker, "Diophantine Inequalities", Clarendon Press, 1986.

· H. Davenport, "Analytic Methods for Diophantine Equations and Diophantine Inequalities", Ann Arbor Publishers, 1962.

· L. K. Hua, Additive Theory of Prime Numbers, A.M.S., Providence, 1965.

· H. L. Montgomery, "Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis", AMS, 1994.

· M. B. Nathanson, "Additive Number Theory: The Classical Springer-Verlag, 1996.

· R. C. Vaughan, "The Hardy-Littlewood Method", 2nd edition, Cambridge University Press, 1997.

Other Excellent Sources

· Number Theory Web

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