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초록· 키워드
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If we let $L(2K;n):=\sum_{s=0}^{k-1}(^{2k}_{2s+1})\sum_{m=1}^{n-1}{\sigma}_{2k-2s-1,1}(m;2){\sigma}_{2s+1,1}(n-m;2)$ with $${\sigma}_{k,l}(n;2):=\sum\limits_{{d{\mid}n}\atop{d{\equiv}l(mod2)}}d^k$$, then we get the formula of L(2u; p)L(2v; p)L(2w; p).
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참고문헌 (11)
참고문헌 신청
A. Alaca / 2007 / The convolution sum P l+24m=n ¾(l)¾(m)and P 3l+8m=n ¾(l)¾(m) / Math. J. Okayama Univ 49:93~111
A. Alaca / 2008 / The convolution sum P m< n 16¾(m)¾(n¡16m) / Canad. Math. Bull 51(1):3~14
B. C. Berndt / 1989 / Ramanujan's Notebooks. Part II / Springer-Verlag
Dario Castellanos / 1989 / A note on bernoulli polynomials / Univ. de Carabobo :98~102
J. W. L. Glaisher / 1884 / On the square of the series in which the coe±cients are the sums of the divisors of the exponents / Mess. Math 14:156~163
A. Alaca / 2008 / The convolution sum P m< n 16¾(m)¾(n¡16m) / Canad. Math. Bull 51(1):3~14
B. C. Berndt / 1989 / Ramanujan's Notebooks. Part II / Springer-Verlag
Dario Castellanos / 1989 / A note on bernoulli polynomials / Univ. de Carabobo :98~102
J. W. L. Glaisher / 1884 / On the square of the series in which the coe±cients are the sums of the divisors of the exponents / Mess. Math 14:156~163
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