On sums of two and three roots of unity
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DOI: 10.1016/j.jnt.2018.03.017
Abstract: Abstract Let α ≠ 0 be a sum of some k distinct Nth roots of unity, where 2 ≤ k N . In 1986, Myerson raised the following two problems. How small can | α… read more here.
Keywords: sums two; two three; three roots; roots unity ... See more keywords
INTERVALS BETWEEN CONSECUTIVE NUMBERS WHICH ARE SUMS OF TWO SQUARES
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DOI: 10.1112/s0025579319000299
Abstract: In this paper, we improve the moment estimates for the gaps between numbers that can be represented as a sum of two squares of integers. We consider certain sum of Bessel functions and prove the… read more here.
Keywords: numbers sums; sums two; intervals consecutive; consecutive numbers ... See more keywords
Repdigits as sums of two generalized Lucas numbers
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DOI: 10.3906/mat-2011-59
Abstract: A generalization of the well–known Lucas sequence is the k -Lucas sequence with some fixed integer k ≥ 2 . The first k terms of this sequence are 0, . . . , 0, 2,… read more here.
Keywords: generalized lucas; sums two; lucas; repdigits sums ... See more keywords