The 2-adic valuation of a sequence arising from a rational integral
نویسندگان
چکیده
منابع مشابه
The 2-adic valuation of a sequence arising from a rational integral
We analyze properties of the 2-adic valuation of an integer sequence that originates from an explicit evaluation of a quartic integral. We also give a combinatorial interpretation of the valuations of this sequence.
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15 صفحه اولThe 2-adic Valuation of the Coefficients of a Polynomial
from which it follows that dl(m) is a rational number with only a power of 2 in its denominator. Extensive calculations have shown that, with rare exceptions, the numerators of dl(m) contain a single large prime divisor and its remaining factors are very small. For example d6(30) = 2 12 · 7 · 11 · 13 · 17 · 31 · 37 · 639324594880985776531. Similarly, d10(200) has 197 digits with a prime factor ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2008
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2008.01.012