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Displaying similar documents to “Explicit formulas for strong Davenport pairs”

On Fully Split Lacunary Polynomials in Finite Fields

Khodakhast Bibak, Igor E. Shparlinski (2011)

Bulletin of the Polish Academy of Sciences. Mathematics

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We estimate the number of possible degree patterns of k-lacunary polynomials of degree t < p which split completely modulo p. The result is based on a combination of a bound on the number of zeros of lacunary polynomials with some graph theory arguments.

On certain generalized q-Appell polynomial expansions

Thomas Ernst (2014)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol–Bernoulli and Apostol–Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials...