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- W2765433604 abstract "For a natural number $m$, generalized $m$-gonal numbers are defined by the formula $p_m(x)=frac{(m-2)x^2-(m-4)x}{2}$ with $xin mathbb Z$. In this paper, we determine a criterion on $a,b,c,m$ for which the weighted ternary sum $P_{a,b,c,m}:=ap_m(x)+bp_m(y)+cp_m(z)$ is almost universal. We also prove for some $a,b,c,m$ that the form $P_{a,b,c,m}$ is not almost universal, while it represents all possible congruence classes." @default.
- W2765433604 created "2017-11-10" @default.
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- W2765433604 date "2017-10-16" @default.
- W2765433604 modified "2023-09-27" @default.
- W2765433604 title "Almost Universal Weighted Ternary Sums of Polygonal Numbers" @default.
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