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Universal sums of triangular numbers and squares.
- Source :
-
Journal of Number Theory . Jun2024, Vol. 259, p1-15. 15p. - Publication Year :
- 2024
-
Abstract
- In this paper, we study universal sums of triangular numbers and squares. Specifically, we prove that a sum of triangular numbers and squares is universal if and only if it represents 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 10 , 13 , 14 , 15 , 18 , 19 , 20 , 23 , 27 , 28 , 34 , 41 , 47 , and 48. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POLYGONAL numbers
*MODULAR forms
Subjects
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 259
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 175849566
- Full Text :
- https://doi.org/10.1016/j.jnt.2023.12.008