Ramanujan’s theta function identities and the relations between sums of squares and sums of triangular numbers

Ramanujan’s theta function identities and the relations between sums of squares and sums of triangular numbers
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DOI:
10.1142/s1793042120500669
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发表时间:
2020-02
影响因子:
0.7
通讯作者:
Min Bian;Shane Chern;Doris D. M. Sang;Ernest X. W. Xia
Min Bian;Shane Chern;Doris D. M. Sang;Ernest X. W. Xia
中科院分区:
数学3区
文献类型:
--
作者:
Min Bian;Shane Chern;Doris D. M. Sang;Ernest X. W. Xia

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对于正整数a,B和c,设T(a,B,c; n)表示非负整数n的表示数为ax 1(x 1 + 1)/2 + bx 2(x 2 + 1)/2 + cx 3(x 3 + 1)/2,其中x 1,x 2和x 3是非负的.
For positive integers a, b and c, let T(a,b,c; n) denote the number of representations of a nonnegative integer n as ax1(x1 + 1)/2 + bx2(x2 + 1)/2 + cx3(x3 + 1)/2 where x1, x2 and x3 are nonnegativ...