科研之友
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摘要
Let a(0)(n) and b(0)(n) be the normalized Fourier coefficients of the two holomorphic Hecke eigenforms f(z) is an element of S(2k)(Gamma) and phi(z) is an element of S(2l)(Gamma) respectively. In 1999, Fomenko studied the following average sums of a0(n) and b(0)(n):
Sigma(n <= x) a(0)(n)(3), Sigma(n <= x) a(0)(n)(2)b(0)(n), Sigma(n <= x) a(0)(n)(2)b(0)(n)(2), Sigma(n <= x) a(0)(n)(4).
In this paper, we are able to improve on Fomenko's results.
- 出版日期2009
- 单位山东大学
