Bounded Gaps Between Primes
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Bounded Gaps Between Primes
The Epic Breakthroughs of the Early Twenty-First Century
Broughan, Kevin
Cambridge University Press
02/2021
590
Mole
Inglês
9781108799201
15 a 20 dias
1020
Descrição não disponível.
1. Introduction; 2. The sieves of Brun and Selberg; 3. Early work; 4. The breakthrough of Goldston, Motohashi, Pintz, and Yildirim; 5. The astounding result of Yitang Zhang; 6. Maynard's radical simplification; 7. Polymath's refinements of Maynard's results; 8. Variations on Bombieri-Vinogradov; 9. Further work and the epilogue; Appendix A. Bessel functions of the first kind; Appendix B. A type of compact symmetric operator; Appendix C. Solving an optimization problem; Appendix D. A Brun-Titchmarsh inequality; Appendix E. The Weil exponential sum bound; Appendix F. Complex function theory; Appendix G. The dispersion method of Linnik; Appendix H. One thousand admissible tuples; Appendix I. PGpack mini-manual; References; Index.
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1. Introduction; 2. The sieves of Brun and Selberg; 3. Early work; 4. The breakthrough of Goldston, Motohashi, Pintz, and Yildirim; 5. The astounding result of Yitang Zhang; 6. Maynard's radical simplification; 7. Polymath's refinements of Maynard's results; 8. Variations on Bombieri-Vinogradov; 9. Further work and the epilogue; Appendix A. Bessel functions of the first kind; Appendix B. A type of compact symmetric operator; Appendix C. Solving an optimization problem; Appendix D. A Brun-Titchmarsh inequality; Appendix E. The Weil exponential sum bound; Appendix F. Complex function theory; Appendix G. The dispersion method of Linnik; Appendix H. One thousand admissible tuples; Appendix I. PGpack mini-manual; References; Index.
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