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Geometric Polynomials: Properties and Applications to Series with Zeta Values

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arxiv 1905.06171 v1 pith:IOZJFJOE submitted 2019-05-15 math.NT math.CA

Khristo N. Boyadzhiev , Ayhan Dil This is my paper · ORCID
classification math.NTmath.CA
keywords geometricpolynomialspropertiesserieszetaapplicationsauthorscertain
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We provide several properties of the geometric polynomials discussed in earlier works of the authors. Further, the geometric polynomials are used to obtain a closed form evaluation of certain series involving Riemann's zeta function.

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  1. A Combinatorial Analysis Of Higher Order Generalised Geometric Polynomials: A Generalisation Of Barred Preferential Arrangements

    math.CO 2019-08 conditional novelty 4.0 of 10

    The higher-order generalized geometric polynomials count barred preferential arrangements with one special section and λ ordinary sections, with an explicit Stirling-number formula and an asymptotic estimate.

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