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  1. 81

    The number of nonunimodular roots of a reciprocal polynomial by Stankov, Dragan

    Published 2023-01-01
    “…We show that if the coefficients of a polynomial can be arbitrarily large in modulus then $L$ can be arbitrarily close to $0$. It seems reasonable to believe that if the coefficients are bounded then the analogue of Lehmer’s Conjecture is true: either $L=0$ or there exists a gap so that $L$ could not be arbitrarily close to $0$. …”
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    Degenerate Poly-Lah-Bell Polynomials and Numbers by Taekyun Kim, Hye Kyung Kim

    Published 2022-01-01
    “…In addition, we obtain various algebraic identities including Lah numbers, the degenerate Stirling numbers of the first and second kind, the degenerate poly-Bell polynomials, the degenerate poly-Bernoulli numbers, and the degenerate poly-Genocchi numbers.…”
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  11. 91

    Euler Numbers and Polynomials Associated with Zeta Functions by Taekyun Kim

    Published 2008-01-01
    “…For s∈ℂ, the Euler zeta function and the Hurwitz-type Euler zeta function are defined by ζE(s)=2∑n=1∞((−1)n/ns), and ζE(s,x)=2∑n=0∞((−1)n/(n+x)s). Thus, we note that the Euler zeta functions are entire functions in whole complex s-plane, and these zeta functions have the values of the Euler numbers or the Euler polynomials at negative integers. …”
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