疑惑的近义词是什么：关于Kuznetsov求和公式的注记

2020年11月20日发(作者：管稚圭)

Note on the Kuznetsov sum formula
KANEMITSU S1,AGARWAL P2,LI Hailong3


【摘 要】Abstract:In the theory of automorphic L-functions, the
Kuznetsov trace formula is one of the highlights. There are a few
different statements of the formula. The most comprehensive one for a
Fuchsian group of the first kind is given in Iwaniec′s book. In
Motohashi′s book, the case of the full modular group is treated and
their results look different. In the companion paper by Ma and Agarwal,
it is shown on the basis of modular relation principle that the statement
of Motohashi is another version of Theorem 2.4 and that it has different
outlook lacking the Neumann slightly generalized the method
of Selberg adopted by Motohashi of equating the two different
expressions for the inner product of two Poincaré series to deduce
Theorem 2.4 below, which is the reversed form according to Iwaniec but
it is the form stated as the Kuznetsov trace formula in most of the
this note we shall elaborate the proof in the Ma and
Agarwal′s paper using more familiar special functions and give proofs of
intermediate formulas involving Bessel functions. This makes the
situation more transparent surrouding the Kuznetsov trace formula and
make it more accessible.

【期刊名称】纺织高校基础科学学报

【年(卷),期】2017(030)003