The hexagonal versus the square lattice
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- by Pieter Moree and Herman J.J. te Riele PDF
- Math. Comp. 73 (2004), 451-473 Request permission
Abstract:
Schmutz Schaller’s conjecture regarding the lengths of the hexagonal versus the lengths of the square lattice is shown to be true. The proof makes use of results from (computational) prime number theory. Using an identity due to Selberg, it is shown that, in principle, the conjecture can be resolved without using computational prime number theory. By our approach, however, this would require a huge amount of computation.References
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Additional Information
- Pieter Moree
- Affiliation: Korteweg–de Vries Institute, University of Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands
- MR Author ID: 290905
- Email: moree@science.uva.nl
- Herman J.J. te Riele
- Affiliation: CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands
- Email: herman@cwi.nl
- Received by editor(s): May 2, 2002
- Received by editor(s) in revised form: August 6, 2002
- Published electronically: June 11, 2003
- © Copyright 2003 American Mathematical Society
- Journal: Math. Comp. 73 (2004), 451-473
- MSC (2000): Primary 11N13, 11Y35, 11Y60
- DOI: https://doi.org/10.1090/S0025-5718-03-01556-4
- MathSciNet review: 2034132