数論に関する基本的な文献

• 数論全般

E. Landau, Vorlesungen uber Zahlentheorie, S. Hirzel, 1927, Reprinted by Chelsea, 1969.

R. K. Guy, Unsolved Problems in Number Theory, 2nd edition, Springer-Verlag, 1994.

• 初等整数論

G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th edition, Clarendon Press, 1979.

L. K. Hua, Introduction to Number Theory, Springer-Verlag, 1982.

I. Niven, H. L. Montgomery and H. S. Zuckerman, Introduction to the Theory of Numbers, John Wiley & Sons Inc., 1991.

T. Nagell, Introduction to Number Theory, Chelsea, 1981.

• 組合せ論的整数論

S. Jukna, Extremal Combinatorics: With Applications in Computer Science, Springer-Verlag, 2001.

R. L. Graham, J. H. Spencer and B. L. Rothschild, Ramsey Theory, John Wiley & Sons Inc, 1990.

B. M. Landman and A. Robertson, Ramsey Theory on the Integers, Amer. Math. Soc., 2003.

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

M. B. Nathanson, Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Springer-Verlag, 1996.

H. Halberstam and H. E. Richert, Sieve Methods, Academic Press, 1974.

G. Greaves, Sieves in Number Theory, Springer-Verlag, 2001.

• 解析的整数論

E. Landau, Handbuch der Lehre der Verteilung der Primzahlen, Teubner, 1909. Reprinted by Chelsea, 1974.

K. Prachar, Primzahlverteilung, 2nd edition, Springer-Verlag, 1978.

T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976.

H. Davenport, Multiplicative Number Theory, 3rd edition, Springer-Verlag, 2000.

P. Turan, A New Method in Analysis and its Applications, Springer-Verlag, 1984.

A. Ivic, The Riemann Zeta-Function, John Wiley & Sons Inc., 1985.

E. C. Titchmarsh and D. R. Heath-Brown, The Theory of the Riemann Zeta-function, Oxford University Press, 1986.