21正则分区的某些Diophantine方程和新的宇称结果

IF 0.5 3区 数学 Q3 MATHEMATICS Acta Arithmetica Pub Date : 2023-01-01 DOI:10.4064/aa230203-5-7
Ajit Singh, Gurinder Singh, Rupam Barman
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引用次数: 0

摘要

对于正整数$t\geq 2$,让$b_{t}(n)$表示非负整数$n$的$t$ -常规分区的数量。在最近的一篇论文中,Keith和Zanello(2022)研究了$t\leq 28$时$b_{t}(n)$的奇偶性。他们发现了新的无限空间
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Certain Diophantine equations and new parity results for 21-regular partitions
For a positive integer $t\geq 2$, let $b_{t}(n)$ denote the number of $t$-regular partitions of a non-negative integer $n$. In a recent paper, Keith and Zanello (2022) investigated the parity of $b_{t}(n)$ when $t\leq 28$. They discovered new infinite fam
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来源期刊
Acta Arithmetica
Acta Arithmetica 数学-数学
CiteScore
1.00
自引率
14.30%
发文量
64
审稿时长
4-8 weeks
期刊介绍: The journal publishes papers on the Theory of Numbers.
期刊最新文献
On Mahler’s inequality and small integral generators of totally complex number fields On a simple quartic family of Thue equations over imaginary quadratic number fields Ultra-short sums of trace functions Growth of $p$-parts of ideal class groups and fine Selmer groups in $\mathbb Z_q$-extensions with $p\ne q$ Density theorems for Riemann’s zeta-function near the line ${\rm Re}\, s = 1$
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