QUANTUM FUNCTIONAL EQUATIONS AND EXTENSION OF NON-PRIME SUPPORTS FOR SOLUTIONS WITH RATIONAL FIELD OF COEFFICIENTS

被引：0
|
作者：
Lan Nguyen [1 ]
机构：
[1] Univ Wisconsin Parkside, Dept Math, Kenosha, WI 53144 USA
来源：
HOUSTON JOURNAL OF MATHEMATICS | 2022年 / 48卷 / 02期
关键词：
Quantum integer; quantum algebra; cyclotomic polynomial; q-Series; polynomial functional equation; partition; special function; MULTIPLICATION; INTEGERS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we provide a solution to a problem raised by Melvyn Nathanson, concerning the extensions of supports for solutions of functional equations arising from quantum arithmetic, in the case where the supports of these solutions are not necessarily prime semigroups and their field of coefficients is Q. Contrary to the prime semigroup support case, a solution in this case requires a different approach due to the lack of prime indexed elements.
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页码：249 / 280
页数：32
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