论文标题
Knopp和不确定二进制二进制形式的功能的模块化框架
A modular framework of functions of Knopp and indefinite binary quadratic forms
论文作者
论文摘要
在本文中，我们研究了KNOPP引入的功能，并将其完成为与不确定二元二次二元形式相关的非形态双模形形式的阳性积分重量。我们研究完成的进一步特性，这反过来促使某些局部尖峰形式。然后，我们定义了我们局部尖缘形式负重的模块化类似物，这些形式是局部谐波的Maass形式，具有连续可移动的奇异性。他们承认从Eichler积分方面承认本地分裂，并实现了某个Theta升力的输出。
In this paper, we investigate functions introduced by Knopp and complete them to non-holomorphic bimodular forms of positive integral weight related to indefinite binary quadratic forms. We study further properties of our completions, which in turn motivates certain local cusp forms. We then define modular analogues of negative weight of our local cusp forms, which are locally harmonic Maass forms with continuously removable singularities. They admit local splittings in terms of Eichler integrals, and a realization as outputs of a certain theta lift.
