My bachelor's thesis which continued a bit of original research and helped established the name "Euler-Muir theorem" demonstrating a connection between negative Pell-type equations and palindromic patterns in the continued fraction representations of integer square roots. Dedicated to Leo Smiley (emeritus of Uni Anchorage) for providing inspiration.
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On the solvability of Pell's equation -- an approach using continued fractions
and: the Euler-Muir theorem and equipalindromic numbers
My bachelor's thesis in maths which contains a bit of original research and helped establish a little-known connection between negative Pell-type equations and palindromic patterns in the continued fraction representations of integer square roots.
Available in German (deutsch), English and Russian (русский).
Dedicated to Leo Smiley (emeritus at Uni Anchorage) for providing inspiration.