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- W2620232605 abstract "We will show that $(1-q)(1-q^2)dots (1-q^m)$ is a polynomial in $q$ with coefficients from ${-1,0,1}$ iff $m=1, 2, 3,$ or $5$ and explore some interesting consequences of this result. We find explicit formulas for the $q$-series coefficients of $(1-q^2)(1-q^3)(1-q^4)(1-q^5)dots$ and $(1-q^3)(1-q^4)(1-q^5)(1-q^6)dots$. In doing so, we extend certain observations made by Sudler in 1964. We also discuss the classification of the products $(1-q)(1-q^2)dots (1-q^m)$ and some related series with respect to their absolute largest coefficients." @default.
- W2620232605 created "2017-06-05" @default.
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- W2620232605 date "2017-05-21" @default.
- W2620232605 modified "2023-09-27" @default.
- W2620232605 title "On some polynomials and series of Bloch-Polya Type" @default.
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