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CREATION
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
Document
No Title Document Type Action
1 Uha_BKMS-56-5-1143-1157.pdf
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2 Halaman cover.pdf
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3 Halaman editorial.pdf
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4 All Issues.pdf
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5 Scimago.pdf
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6 THE NUMBER OF REPRESENTATIONS OF A POSITIVE INTEGER BY TRIANGULAR, SQUARE AND DECAGONAL NUMBERS (1).pdf
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7 THE NUMBER OF REPRESENTATIONS OF A POSITIVE INTEGER BY TRIANGULAR, SQUARE AND DECAGONAL NUMBERS (1).pdf
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