Upper bounds for geodesic periods over hyperbolic manifolds

作者：Feng, Su

来源：International Journal of Mathematics, 2018, 29(01): 1850009.

DOI：10.1142/s0129167x1850009x

<jats:p> We prove an upper bound for geodesic periods of Maass forms over hyperbolic manifolds. By definition, such periods are integrals of Maass forms restricted to a special geodesic cycle of the ambient manifold, against a Maass form on the cycle. Under certain restrictions, the bound will be uniform. </jats:p>

• 出版日期2018-1
• 单位中国科学院数学与系统科学研究院