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

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

Published $\text {1985}$

Subject Matter

• Analytic Number Theory

Contents

Introduction

chapter $1$ Magic Squares

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

chapter $3$ Combinatorial Analysis and Series Inversion

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

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

chapter $6$ Ramanujan's Theory of Divergent Series

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

chapter $8$ Analogues of the Gamma Function

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

Ramanujan's Quarterly Reports

References

Index

Also see

• 1989: Bruce C. Berndt: Ramanujan's Notebooks: Part II
• 1991: Bruce C. Berndt: Ramanujan's Notebooks: Part III
• 1994: Bruce C. Berndt: Ramanujan's Notebooks: Part IV
• 1998: Bruce C. Berndt: Ramanujan's Notebooks: Part V