M. Kronenburg

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20112022

most citedThe Binomial Coefficient for Negative Arguments

20 citations · 60 across the 20 of their papers we have counts for

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math.CO2022

The q-Binomial Coefficient for Negative Arguments and Some q-Binomial Summation Identities

M. J. Kronenburg

Using a property of the q-shifted factorial, an identity for q-binomial coefficients is proved, which is used to derive the formulas for the q-binomial coefficient for negative arg…

math.NT2022

Computation of $P (n, m)$ , the Number of Integer Partitions of $n$ into Exactly $m$ Parts

M. J. Kronenburg

Two algorithms for computing $P (n, m)$ , the number of integer partitions of $n$ into exactly $m$ parts, are described, and using a combination of these two algorithms, the resulting…

math.GM2022

Distinct Partitions and Some q-Binomial Summation Identities

M. J. Kronenburg

The partition functions $P (n, m, p)$ , the number of integer partitions of $n$ into exactly $m$ parts with each part at most $p$ , and $Q (n, m, p)$ , the number of integer partitons of $n…

math.CO2022

Computation of q-Binomial Coefficients with the $P (n, m)$ Integer Partition Function

M. J. Kronenburg

Using $P (n, m)$ , the number of integer partitions of $n$ into exactly $m$ parts, which was the subject of an earlier paper, $P (n, m, p)$ , the number of integer partitions of $n$ into…

The q-Binomial Coefficient for Negative Arguments and Some q-Binomial Summation Identities

Computation of P(n,m), the Number of Integer Partitions of n into Exactly m Parts

Distinct Partitions and Some q-Binomial Summation Identities

Computation of q-Binomial Coefficients with the P(n,m) Integer Partition Function

Computation of $P (n, m)$ , the Number of Integer Partitions of $n$ into Exactly $m$ Parts

Computation of q-Binomial Coefficients with the $P (n, m)$ Integer Partition Function