经典Kloosterman和：表示论，幻方和Ramanujan多重图
Classical Kloosterman sums: representation theory, magic squares, and Ramanujan multigraphs
摘要：
研究了一类以Kloosterman和为特征值的有限群的表示论.这使我们考虑一个具体的家庭交换埃尔米特矩阵的Kloosterman和特征值。这些矩阵满足一些“神奇的”组合性质，它们编码Kloosterman和的各种算术性质。这些矩阵也可以被看作是多重图的邻接矩阵，显示Ramanujan样行为。
英文摘要：
We study the representation theory of a certain finite group for which Kloosterman sums appear as character values. This leads us to consider a concrete family of commuting hermitian matrices which have Kloosterman sums as eigenvalues. These matrices satisfy a number of "magical" combinatorial properties and they encode various arithmetic properties of Kloosterman sums. These matrices can also be regarded as adjacency matrices for multigraphs which display Ramanujan-like behavior.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
