By S C Roy
- Riemann’s zeta functionality: an research of the non-trivial roots by means of Euler-Maclaurin summation.
- Basic concept: logarithms, indices, mathematics and integration methods are described.
- Lattice simulation: the function of complicated numbers in Paul Ewald’s vital paintings of the I 920s is analysed.
- Mangoldt’s learn of the xi functionality: shut awareness is given to the derivation of N(T) formulae by way of contour integration.
- Analytical calculations: used broadly to demonstrate vital theoretical aspects.
- Glossary: over eighty phrases incorporated within the textual content are defined.
- Offers a clean and significant method of the research-based implication of advanced numbers
- Includes historic anecdotes, rules for additional examine, outlines of concept and an in depth research of the Riemann hypothesis
- Bridges any gaps that would exist among the 2 worlds of lattice sums and quantity theory
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Complex Numbers: Lattice Simulation and Zeta Function Applications by S C Roy