Bibliographic Details
| Title: |
Regular triangular forms of rank exceeding 3. |
| Authors: |
Kim, Mingyu1 (AUTHOR) mingyukim@pusan.ac.kr |
| Source: |
Journal of Number Theory. Mar2026, Vol. 280, p825-860. 36p. |
| Subjects: |
Integers, Mathematical forms, Mathematics, Quadratic equations, Polynomials, Mathematical variables |
| Abstract: |
A triangular form is an integer-valued quadratic polynomial of the form a 1 P 3 (x 1) + a 2 P 3 (x 2) + ⋯ + a k P 3 (x k) , where the coefficients a i are positive integers and P 3 (x) = x (x + 1) / 2. A triangular form is called regular if it represents all positive integers which are locally represented. In this article, we determine all regular triangular forms of more than three variables. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
