標題: Twisted Hecke L-values and period polynomials 作者: Fukuhara, ShinjiYang, Yifan應用數學系Department of Applied Mathematics 關鍵字: Hecke operators;L-values;Modular forms (one variable);Period polynomials 公開日期: 1-Apr-2010 摘要: Let f(1),..., f(d) be an orthogonal basis for the space of cusp forms of even weight 2k on Gamma(0)(N). Let (f(i), s) and L(f(i), chi, s) denote the L-function of f(i) and its twist by a Dirichlet character chi, respectively. In this note, we obtain a "trace formula" for the values L(f(i), chi, m)<(L(f(i), n))over bar> at integers m and n with 0 < m, n < 2k and proper parity. In the case N = 1 or N = 2, the formula gives us a convenient way to evaluate precisely the value of the ratio L(f, chi, m)/L(f, n) for a Hecke eigenform f. (C) 2009 Elsevier Inc. All rights reserved. URI: http://dx.doi.org/10.1016/j.jnt.2009.09.009http://hdl.handle.net/11536/5618 ISSN: 0022-314X DOI: 10.1016/j.jnt.2009.09.009 期刊: JOURNAL OF NUMBER THEORY Volume: 130 Issue: 4 起始頁: 976 結束頁: 999 Appears in Collections: Articles

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