A formula and a congruence for Ramanujan's <IMG BORDER="0" SRC="/proc/2006-134-02/S0002-9939-05-08029-9/gif-title0/img1.gif" >-function期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

A formula and a congruence for Ramanujan's -function

Authors:	Matthew Papanikolas

Institution:	Department of Mathematics, Texas A{&}M University, College Station, Texas 77843

Abstract:	We determine formulas for Ramanujan's $\tau$ -function and for the coefficients of modular forms on $\Gamma_0(2)$ in terms of finite field ${}_3F_2$ -hypergeometric functions. Using these formulas we obtain a new congruence of $\tau(p) \pmod{11}$ .

Keywords:

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文