Book:Bruce C. Berndt/Ramanujan's Notebooks: Part I

Subject Matter

 * Analytic Number Theory

Contents

 * Introduction


 * $1$ Magic Squares


 * $2$ Sums Related to the Harmonic Series or the Inverse Tangent Function


 * $3$ Combinatorial Analysis and Series Inversion


 * $4$ Iterates of the Exponential Function and an Ingenious Formal Technique


 * $5$ Eulerian Polynomials and Numbers, Bernoulli Numbers, and the Riemann Zeta-Function


 * $6$ Ramanujan's Theory of Divergent Series


 * $7$ Sums of Powers, Bernoulli Numbers, and the Gamma Function


 * $8$ Analogues of the Gamma Function


 * $9$ Infinite Series Identities, Transformations, and Evaluations


 * Ramanujan's Quarterly Reports


 * References


 * Index