Shi-Mei Ma

activity

20062026

most citedEnumeration of a dual set of Stirling permutations by their alternating runs

9 citations · 49 across the 59 of their papers we have counts for

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Showing 2019Show all

4 papers · 1 filter

math.CO2019★ 1 cited

Eulerian polynomials for multipermutations and signed multipermutations

Shi-Mei Ma, Jun Ma, Yeong-Nan Yeh

In this paper, we study Eulerian polynomials for permutations and signed permutations of the multiset ${1, 1, 2, 2, \dots, n, n}$ . Properties of these polynomials, including recurrenc…

math.CO2019

The alternating run polynomials of permutations

Shi-Mei Ma, Jun Ma, Yeong-Nan Yeh

In this paper, we first consider a generalization of the David-Barton identity which relate the alternating run polynomials to Eulerian polynomials. By using context-free grammars,…

math.NT2019

Explicit bounds for small prime nonresidues

Shilin Ma, Kevin J. McGown, Devon Rhodes +1

Let $χ$ be a Dirichlet character modulo a prime~ $p$ . We give explicit upper bounds on $q_{1} < q_{2} < \dots < q_{n}$ , the $n$ smallest prime nonresidues of $χ$ . More precisely, given $n_{0}$ an…

math.NT2019

On the number of primes for which a polynomial is Eisenstein

Shilin Ma, Kevin McGown, Devon Rhodes +1

Previously Heyman and Shparlinski gave an asymptotic formula with error term for the number of Eisenstein polynomials of fixed degree and bounded height. Let $ψ (f)$ denote the numb…