Complex Numbers Lattice Simulation And Zeta Function Applications Sc Roy Auth by S.c. Roy (auth.) 9781904275251, 1904275257 instant download after payment.

• Riemann's zeta function: an investigation of the non-trivial roots by Euler-Maclaurin summation.
• Basic theory: logarithms, indices, arithmetic and integration procedures are described.
• Lattice simulation: the role of complex numbers in Paul Ewald's important work of the I 920s is analysed.
• Mangoldt's study of the xi function: close attention is given to the derivation of N(T) formulae by contour integration.
• Analytical calculations: used extensively to illustrate important theoretical aspects.
• Glossary: over 80 terms included in the text are defined.
• Offers a fresh and critical approach to the research-based implication of complex numbers
• Includes historical anecdotes, ideas for further research, outlines of theory and a detailed analysis of the Riemann hypothesis
• Bridges any gaps that might exist between the two worlds of lattice sums and number theory