Modular Functions and Dirichlet Series in Number Theory

摘要: This is the second volume of a 2-volume textbook which evolved from course (Mathematics 160) offered at California Institute Technology du ring last 25 years. The presupposes background in number theory com¬ parable to that provided first volume, together with knowledge basic concepts complex analysis. Most present devoted elliptic functions and modular some their number-theoretic applications. Among major topics treated are Rademacher's convergent series for partition function, Lehner's congruences Fourier coefficients functionj( r), Hecke's entire forms multiplicative coefficients. chapter gives an account Bohr's equivalence general Dirichlet series. Both volumes this work emphasize classical aspects subject wh ich recent years has undergone great deal modern development. It hoped these will help nonspecialist become acquainted important fascinating part mathematics and, same time, provide belongs repertory every specialist field. like first, dedicated students who have taken gone on make notable contributions other parts mathematics. T. M. A. January, 1976.