Lectures on Modular Forms (Dover Books on Mathematics) | Elliptic Functions: An Elementary Text-Book for Students of Mathematics (Classic Reprint) | Prime Numbers and the Riemann Hypothesis | The Gamma Function | A Short Course in Automorphic Functions | Riemann's Zeta Function | Continued Fractions
Suitable for advanced undergraduates and graduate students in mathematics, this introductory treatment is largely self-contained. Topics include Fourier series, sufficient conditions, the Laplace transform, results of Doetsch and Kober-Erdelyi, Gaussian sums, and Euler's formulas and functional equations. Additional subjects include partial fractions, mock theta functions, Hermite's method, convergence proof, elementary functional relations, multidimensional Poisson summation formula, the modular transformation, and many other areas.
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