논문KCI 등재
THE CONVOLUTION SUM
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
참고문헌 (8)
- J. W. L. Glaisher, "Expressions for the five powers of the series in which the coeffcients are the sums of the divisors of the exponents", Mess. Math, 15, pp.33~36 (1885)
- J. W. L. Glaisher, "On certain sums of products of quantities depending upon the divisors of a number", Mess. Math, 15, pp.1~20 (1885)
- J. W. L. Glaisher, "On the square of the series in which the coecients are the sums of the divisors of the exponents", Mess. Math, 14, pp.156~163 (1884)
- H. Hahn, "Convolution sums of some functions on divisors", Rocky Mountain J. Math, 37, pp.1593~1622 (2007)
- J. G. Huard, "Elementary Evaluation of Certain Convolution Sums Involving Divisor Functions, In Number theory for the millennium, II", pp.229~274 (2002)
- G. Melfi, "Number Theory", pp.371~382 (1998), de Gruyter
- S. Ramanujan, "On certain arithmetical functions", Trans. Cambridge Philos. Soc, 22, pp.159~184 (1916)
- K. S. Williams, "Number Theory in the Spirit of Liouville", London Mathematical Society, Student Texts, 76 (2011)
관련 논문AI추천
Convolution sums and their relations to Eisenstein series김대열, 김애란, Ayyadurai Sankaranarayanan대한수학회 · 대한수학회보2013 · 제50권 제4호Some Theorems on Generating FunctionsMahmood Ahmad Pathan, Mohannad Jamal S. Shahwan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제3호The dual of a formula of ViskovFranciszek Hugon Szafraniec대한수학회 · 대한수학회보2003 · 제40권 제4호Boundedness and inversion properties of certain convolution transformsSemyon B. Yakubovich대한수학회 · 대한수학회지2003 · 제40권 제6호Convolution sums arising from divisor functions김대열, 김애란, Li Yan대한수학회 · 대한수학회지2013 · 제50권 제2호The convolution sums sum ∑m<n/8 σ1 (m) σ3 (n-8m) and ∑m<n/8 σ3 (m) σ1 (n-8m)김애란장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제4호
이 간행물의 다른 논문 (14건)
ON THE TWISTED WEAK q-EULER NUMBERS AND POLYNOMIALS WITH WEIGHT 0박진우, 진정희, 정주희, 임석훈pp. 157-164STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS최성규, 강보원, 구남집pp. 165-174NEW METRICS ARISING FROM MATROIDS OF LINEAR CODES김동찬, 김대산, 현종윤pp. 181-193ON THE TWISTED WEAK WEIGHT q-BERNOULLI POLYNOMIALS AND NUMBERS강동진, 박진우, 임석훈, 이선정pp. 195-201EXTENSION OF THE HIGHER-ORDER TWISTED q-EULER NUMBERS AND POLYNOMIALS WITH MULTI WEIGHT βi AND HIGHER hiH.Y. Lee, 정남순, 강정욱, 유천성pp. 203-213
