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| Title: | Mathematics at DEC |
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| Moderator: | RUSURE::EDP |
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| Created: | Mon Feb 03 1986 |
| Last Modified: | Fri Jun 06 1997 |
| Last Successful Update: | Fri Jun 06 1997 |
| Number of topics: | 2083 |
| Total number of notes: | 14613 |
393.0. "Trig. Diophantine equation" by TOOLS::STAN () Wed Nov 27 1985 22:11
Here's an interesting result by Morris Newman:
All rational values of x and y such that
sin pi(x) sin pi(y)
is a positive rational, normalized so that 0 < x <= y <= 1/2, are given by:
x 1/2 1/3 1/4 1/6 1/10 1/12
y 1/2 1/3 1/4 1/6 3/10 5/12.
Reference: Morris Newman, Some Results of Unity with an Application
to a Diophantine problem. Aequation Math. 1969, pp 163-166.
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