Proofs of some conjectures of Sun on the relations between \(N(a,b,c,d;n)\) and \(t(a,b,c,d;n)\)
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Publication:1746740
DOI10.1016/J.JMAA.2018.02.043zbMath1406.11029OpenAlexW2793632102WikidataQ115188961 ScholiaQ115188961MaRDI QIDQ1746740
Publication date: 25 April 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.02.043
Sums of squares and representations by other particular quadratic forms (11E25) Representation problems (11D85)
Related Items (8)
On conjectures of Z.-H. Sun ⋮ Proofs of some conjectures of Sun on the relations between \(T(a, b, c, d; n)\) and \(N(a, b, c, d; n)\) ⋮ Automatic proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers ⋮ Generalizations of some conjectures of Sun on the relations between \(N(a,b,c,d;n)\) and \(T(a,b,c,d;n)\) ⋮ Ramanujan’s theta functions and sums of triangular numbers ⋮ Ramanujan’s theta function identities and the relations between sums of squares and sums of triangular numbers ⋮ Proofs of some conjectures of Z.-H. Sun on relations between sums of squares and sums of triangular numbers ⋮ Relations among representations of integers by certain quadratic forms
Cites Work
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- New congruences modulo powers of 2 for broken 3-diamond partitions and 7-core partitions
- Congruences modulo 9 and 27 for overpartitions
- New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
- The relations between \(N(a,b,c,d;n)\) and \(t(a,b,c,d;n)\) and (\(p,k\))-parametrization of theta functions
- Congruences modulo 16, 32, and 64 for Andrews's singular overpartitions
- SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS INDUCED BY PARTITIONS OF 8
- A GENERAL RELATION BETWEEN SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS
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