Title | : | The Number of Representations of a Positive Integer by Triangular, Square, and Decagonal Numbers |
Author | : |
Uha Isnaini, S.Si., M.Sc., Ph.D. (1) Ray Melham (2) Pee Choon Toh (3) |
Date | : | 30 2019 |
Keyword | : | representations by binary quadratic forms; polygonal numbers representations by binary quadratic forms; polygonal numbers |
Abstract | : | Let $T_a D_b(n), T_a D?_b(n), S_a D_b(n),$ and $S_a D?_b(n)$ denote the number of representations of a positive integer $n$ by $a(x^2?x)/2+b(4y^2?3y), a(x^2?x)/2+b(4y^2?y), ax^2+b(4y^2?3y),$ and $ax^2+b(4y^2?y)$ respectively. In this paper, we prove 162 formulas for these functions. |
Group of Knowledge | : | Matematika |
Original Language | : | English |
Level | : | Internasional |
Status | : |
Published
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Uha_BKMS-56-5-1143-1157.pdf
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Halaman cover.pdf
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Halaman editorial.pdf
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All Issues.pdf
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Scimago.pdf
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THE NUMBER OF REPRESENTATIONS OF A POSITIVE INTEGER BY TRIANGULAR, SQUARE AND DECAGONAL NUMBERS (1).pdf
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THE NUMBER OF REPRESENTATIONS OF A POSITIVE INTEGER BY TRIANGULAR, SQUARE AND DECAGONAL NUMBERS (1).pdf
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