A. Uncu

activity

20152026

most citedOn a weighted spin of the Lebesgue Identity

21 citations · 23 across the 8 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.NT2019★ 1 cited

Where do the maximum absolute $q$ -series coefficients of $(1 - q) (1 - q^{2}) (1 - q^{3}) \dots (1 - q^{n - 1}) (1 - q^{n})$ occur?

Alexander Berkovich, Ali K. Uncu

We used the MACH2 supercomputer to study coefficients in the $q$ -series expansion of $(1 - q) (1 - q^{2}) \dots (1 - q^{n})$ , for all $n \leq 75000$ . As a result, we were able to conjecture some…

cs.SC2019

qFunctions -- A Mathematica package for $q$ -series and partition theory applications

Jakob Ablinger, Ali K. Uncu

We describe the qFunctions Mathematica package for $q$ -series and partition theory applications. This package includes both experimental and symbolic tools. The experimental set of…

math.CO2019

A Polynomial Identity Implying Schur's Partition Theorem

Ali K. Uncu

We propose and prove a new polynomial identity that implies Schur's partition theorem. We give combinatorial interpretations of some of our expressions in the spirit of Kurşungöz.…

Where do the maximum absolute q-series coefficients of (1−q)(1−q2)(1−q3)…(1−qn−1)(1−qn) occur?

qFunctions -- A Mathematica package for q-series and partition theory applications

A Polynomial Identity Implying Schur's Partition Theorem

Where do the maximum absolute $q$ -series coefficients of $(1 - q) (1 - q^{2}) (1 - q^{3}) \dots (1 - q^{n - 1}) (1 - q^{n})$ occur?

qFunctions -- A Mathematica package for $q$ -series and partition theory applications