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Focusing on elliptic and modular functions, this textbook builds on foundational concepts from number theory and complex analysis. Key topics include Rademacher's series for the partition function, Lehner's congruences for Fourier coefficients, and Hecke's theory of entire forms. The final chapter explores Bohr's theory of Dirichlet series equivalence. Aimed at both nonspecialists and specialists, the volume highlights classical mathematics while acknowledging modern developments, honoring students who contributed to the field.
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Modular Functions and Dirichlet Series in Number Theory, Tom M. Apostol
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- 2012
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