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The hexagonal versus the square lattice
Author(s):
Pieter
Moree;
Herman
J.J.
te Riele.
Journal:
Math. Comp.
73
(2004),
451-473.
MSC (2000):
Primary 11N13, 11Y35, 11Y60
Posted:
June 11, 2003
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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.
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Additional Information:
Pieter
Moree
Affiliation:
Korteweg--de Vries Institute, University of Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands
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
DOI:
10.1090/S0025-5718-03-01556-4
PII:
S 0025-5718(03)01556-4
Received by editor(s):
May 2, 2002
Received by editor(s) in revised form:
August 6, 2002
Posted:
June 11, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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