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The Ramanujan conjecture and its applications.
- Source :
- Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences; 1/24/2020, Vol. 378 Issue 2163, p1-14, 14p
- Publication Year :
- 2020
-
Abstract
- In this paper, we review the Ramanujan conjecture in classical and modern settings and explain its various applications in computer science, including the explicit constructions of the spectrally extremal combinatorial objects, called Ramanujan graphs and Ramanujan complexes, points uniformly distributed on spheres, and Golden-Gate Sets in quantum computing. The connection between Ramanujan graphs/complexes and their zeta functions satisfying the Riemann hypothesis is also discussed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1364503X
- Volume :
- 378
- Issue :
- 2163
- Database :
- Complementary Index
- Journal :
- Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 141203733
- Full Text :
- https://doi.org/10.1098/rsta.2018.0441