Maass-Jacobi Poincaré级数与Mathieu Moonshine
Maass-Jacobi Poincaré series and Mathieu Moonshine
摘要：
Mathieu Moonshine将权为零、指数为1的弱Jacobi形式附加到Mathieu的最大散在单群的每个共轭类上。我们介绍了一个修改这个任务，从而弱Jacobi形式取代半全纯的马斯-Jacobi形式的重量和指数为2。本文证明了一类权为1的Maass-Jacobi Poincaré级数的收敛性，并以此刻画了最大Mathieu群的半全纯Maass-Jacobi形式.
英文摘要：
Mathieu moonshine attaches a weak Jacobi form of weight zero and index one to each conjugacy class of the largest sporadic simple group of Mathieu. We introduce a modification of this assignment, whereby weak Jacobi forms are replaced by semi-holomorphic Maass-Jacobi forms of weight one and index two. We prove the convergence of some Maass-Jacobi Poincaré series of weight one, and then use these to characterize the semi-holomorphic Maass-Jacobi forms arising from the largest Mathieu group.
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。
