交替群不可约字符数的模数为 5 的无穷同余族
IF 0.7
4区 数学
Q2 MATHEMATICS
引用次数: 0
摘要
1919 年，拉马努扬证明了表示 n 的分治数的分治函数 p(n) 的红三同余式。分治函数 p(n) 可以理解为不可还原...本文章由计算机程序翻译，如有差异，请以英文原文为准。
Infinite Families of Congruences Modulo 5 for the Number of Irreducible Characters of the Alternating Groups
In 1919, Ramanujan proved red three congruences for the partition function p(n) which denotes the number of partitions of n. The partition function p(n) can be understood as the number of irreducib...
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来源期刊
Experimental Mathematics
数学-数学
CiteScore
1.70
自引率
0.00%
发文量
23
审稿时长
>12 weeks
期刊介绍：
Experimental Mathematics publishes original papers featuring formal results inspired by experimentation, conjectures suggested by experiments, and data supporting significant hypotheses.
Experiment has always been, and increasingly is, an important method of mathematical discovery. (Gauss declared that his way of arriving at mathematical truths was "through systematic experimentation.") Yet this tends to be concealed by the tradition of presenting only elegant, fully developed, and rigorous results.
Experimental Mathematics was founded in the belief that theory and experiment feed on each other, and that the mathematical community stands to benefit from a more complete exposure to the experimental process. The early sharing of insights increases the possibility that they will lead to theorems: An interesting conjecture is often formulated by a researcher who lacks the techniques to formalize a proof, while those who have the techniques at their fingertips have been looking elsewhere. Even when the person who had the initial insight goes on to find a proof, a discussion of the heuristic process can be of help, or at least of interest, to other researchers. There is value not only in the discovery itself, but also in the road that leads to it.
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