Explores properties of Euler-Genocchi numbers and polynomials, indicating novel insights into their divisibility and analytic representations.
We study number theoretic and analytic properties of the recently defined Euler-Genocchi polynomials and numbers. In particular, we give several divisibility properties of the Euler-Genocchi numbers and integerness of the values of the Euler-Genocchi polynomials. We also consider zeta and p-adic zeta function representations for these polynomials and numbers.
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Pınar Aytaç (2025) studied this question.
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