Book contents
- Frontmatter
- Dedication
- Contents
- Foreword by Helaman and Claire Ferguson
- Preface
- 1 Lattice sums
- 2 Convergence of lattice sums and Madelung's constant
- 3 Angular lattice sums
- 4 Use of Dirichlet series with complex characters
- 5 Lattice sums and Ramanujan's modular equations
- 6 Closed-form evaluations of three- and four-dimensional sums
- 7 Electron sums
- 8 Madelung sums in higher dimensions
- 9 Seventy years of the Watson integrals
- Appendix
- References
- Index
4 - Use of Dirichlet series with complex characters
Published online by Cambridge University Press: 05 September 2013
- Frontmatter
- Dedication
- Contents
- Foreword by Helaman and Claire Ferguson
- Preface
- 1 Lattice sums
- 2 Convergence of lattice sums and Madelung's constant
- 3 Angular lattice sums
- 4 Use of Dirichlet series with complex characters
- 5 Lattice sums and Ramanujan's modular equations
- 6 Closed-form evaluations of three- and four-dimensional sums
- 7 Electron sums
- 8 Madelung sums in higher dimensions
- 9 Seventy years of the Watson integrals
- Appendix
- References
- Index
Summary
- Type
- Chapter
- Information
- Lattice Sums Then and Now , pp. 157 - 185Publisher: Cambridge University PressPrint publication year: 2013