一类二型Fuchsian群的局部化性质
DOI: 10.3969/j.issn.1674-0696.2011.03.39, PP. 511-513
Keywords: Fuchsian群,p－进数,同余子群,Fuchsiangroup,p-adicnumber,congruencesubgroup．
Abstract:
:？为了讨论整数的整二次型表示，引进整二次型的θ－级数，并发现θ－级数与模群的自守形式有紧密的联系。Fuchsian群及其自守形式是模群与模形式的重要延伸。对于一类二型Fuchsian群H(槡q)，这是G(槡q)的一个子群。众所周知，G(槡q)中的元素要落H(槡q)中需要有诸多限制。简化这些限制条件是很有意义的。利用p－局部化方法，首先给出H(槡q)的局部化的性质。然后，给出它与G(槡q)关于模pn的一个关系。
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