On Conjectures of Z.-H. Sun

Author:

Ding Yihao,Gu Dieqi,Huang Tinghao,Jiang Qinghai,Ye DongxiORCID

Funder

Natural Science Foundation of China

Natural Science Foundation of Guangdong Province

Young Teacher Foundation of Sun Yat-sen University

Guangzhou Research Collaborative Innovation Projects

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference20 articles.

1. Baruah, N.D., Kaur, M., Kim, M., Oh, B.-K.: Proofs of some conjectures of Z.-H. Sun on relations between sums of squares and sums of triangular numbers. Indian J. Pure Appl. Math. 51(1), 11–38 (2020)

2. Bian, M., Chern, S., Sang, D.D.M., Xia, E.X.W.: Ramanujan’s theta function identities and the relations between sums of squares and sums of triangular numbers. Int. J. Number Theory 16(6), 1275–1294 (2020)

3. Cooper, S.: Ramanujan’s Theta Functions. Springer, Cham (2017)

4. Jacobi, C.G.J.: Fundamenta Nova Theoriae Functionum Ellipticarum, 1829 (reprinted in Gesammelte Werke, vol. 1, Berlin, 1881, pp. 49–239; see pp. 159, 160, 164, 170; reprinted by Chelsea, New York, 1969)

5. Kim, M., Oh, B.-K.: The number of representations by a ternary sum of triangular numbers. J. Korean Math. Soc. 56(1), 67–80 (2019)

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