"Digitally motivated" transcendental numbers
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R. E. Crandall
Vollum Adjunct Professor of Science, Reed College
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Abstract:
A new class of transcendental numbers was
recently discovered via the analysis of bit patterns
for algebraic numbers. The basic question is: How often do
"1"s occur in the binary expansion of an algebraic
number? The lecturer will describe how bounds on such 1-counts can be
achieved, and how this leads to transcendency for certain expansions.
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