Perfect Powers with Few Ternary Digits
نویسندگان
چکیده
We classify all integer squares (and, more generally, q-th powers for certain values of q) whose ternary expansions contain at most three digits. Our results follow from Padé approximants to the binomial function, considered 3-adically.
منابع مشابه
#A3 INTEGERS 12A (2012): John Selfridge Memorial Issue PERFECT POWERS WITH FEW TERNARY DIGITS
We classify all integer squares (and, more generally, q-th powers for certain values of q) whose ternary expansions contain at most three digits. Our results follow from Padé approximants to the binomial function, considered 3-adically. –Dedicated to the memory of John Selfridge.
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تاریخ انتشار 2011