On Graham partitions twisted by the Legendre symbol

  • Kim, Byungchan
  • Kim, Ji Young
  • Lee, Chong Gyu
  • Lee, Sang June
  • Park, Poo-Sung
  • 외 1명
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초록

We investigate when there is a partition of a positive integer n, n = f(lambda(1)) + f(lambda(2))+& ctdot;+f(lambda(& ell;)),satisfying that 1 = chi(p)(lambda(1))/lambda(1 )+ chi(p)(lambda(2))/lambda(2)+& ctdot; + chi(p)(lambda(& ell;))/lambda(& ell;,)where chi(p) is the Legendre symbol modulo prime p and f(k) = k or the k th m -gonal number with m = 3, 4, or 5.

키워드

Graham partitionsum of reciprocalsquadratic twistLegendre symbolpolygonal number
제목
On Graham partitions twisted by the Legendre symbol
저자
Kim, ByungchanKim, Ji YoungLee, Chong GyuLee, Sang JunePark, Poo-SungPark, Yoon Kyung
DOI
10.1515/math-2023-0134
발행일
2023-10
유형
Article
저널명
Open Mathematics
21
1