搜索结果: 1-3 共查到“数论 p-harmonic”相关记录3条 . 查询时间(0.089 秒)
On a completed generating function of locally harmonic Maass forms
locally harmonic Maass forms indefinite theta functions holomorphic projection mock modular forms modular forms
2012/6/21
While investigating the Doi-Naganuma lift, Zagier defined integral weight cusp forms $f_D$ which are naturally defined in terms of binary quadratic forms of discriminant $D$. It was later determined b...
Locally harmonic Maass forms and rational period functions
hyperbolic Poincare series harmonic weak Maass forms cusp forms lifting maps Shimura lift Shintani lift
2012/6/21
In this paper we define a new type of modular object and construct explicit examples of such functions. Our functions are closely related to cusp forms constructed by Zagier which played an important ...
New properties of multiple harmonic sums modulo $p$ and $p$-analogues of Leshchiner's series
Congruence finite central binomial sum multiple harmonic sum Bernoulli number
2012/6/15
In this paper we present some new identities of hypergeometric type for multiple harmonic sums whose indices are the sequences $(\{1\}^a,c,\{1\}^b),$ $(\{2\}^a,c,\{2\}^b)$ and prove a number of congru...