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020 _a8185015120
040 _cPK-IsLIS
082 _a510
_bA645
100 _aApostol, Tom M.
245 _aIntroduction to analytic number theory
_c/ Tom M. Apostol
260 _bNarosa Publishing House,
_aNew Delhi :
_c1989
300 _axii, 338 p.
500 _aincludes bibliography and index
650 _aMathematical analysis
942 _cBK
505 0 _a1. The fundamental theorem of arithmetic 2. Arithmetical functions and dirichlet multiplication 3. Averages of arithmetical functions 4. Some elementary theorems on the distribution of prime numbers 5. Congruences 6. Finite abelian groups and their characters 7. Dirichlet's theorem on primes in arithmetic progressions 8. Periodic arithmetical functions and gauss sums 9. Quadratic residues and the quadratic reciprocity law 10. Primitive roots 11. Dirichlet series and euler products 12. The functions 13. Analytic proof of the prime number theorem 14. Partitions