논문KCI 등재
On Fractional Bernoulli Numbers
1
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
In this paper we have shown that there are infinitely many distinct disjoint equivalence classes of fractional Bernoulli numbers, each distinct equivalence class containing infinitely many positive integers with the same fractional Bernoulli numbers. We have characterized each distinct class with the same fractional Bernoulli numbers. We have also shown each equivalence class has unique subclass with semigroup property.
참고문헌 (4)
- "Introduction to Analytic Number Theory" (1976)
- "Int. to Analytic Number Theory" (1968)
- "An Int. to the Theory of Numbers" (1988)
- "On Primes in Arithmetic Progressions II Annals of Math.", pp.231~243 (1952)
관련 논문AI추천
Some remarks on a q-analogue of Bernoulli numbersJin-Woo Son, Min-Soo Kim대한수학회 · 대한수학회지2002 · 제39권 제2호A Recurrence Relation for Bernoulli NumbersKurt대한수학회 · 대한수학회보2005 · 제42권 제3호$q$-Analogue of Euler-Barnes' numbers and polynomials김태균, 장이채대한수학회 · 대한수학회보2005 · 제42권 제3호On twisted generalized Euler numbersYilmaz Simsek대한수학회 · 대한수학회보2004 · 제41권 제2호Bernstein polynomials and Bernoulli numbers유천성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제3호On $q$-analgue of the twisted $L$-functions and\ $q$-twisted Bernoulli\ numbersYilmaz Simsek대한수학회 · 대한수학회지2003 · 제40권 제6호
이 간행물의 다른 논문 (17건)
A Note on Regularity in Matrix SemiringsShamik Ghoshpp. 1-4On Some Generalization on the Absolute Norlund Summability Factors of Infinite SeriesW. T. Sulaimanpp. 5-10Characterization on Some Related Convergent SeriesW. T. Sulaimanpp. 11-19Commutative Group Algebras of Direct Sums of Countable Abelian GroupsPeter Danchevpp. 21-29The Extension Problem for Exponentially Convex FunctionsA. M. Zabel, Maha A. Bajnaidpp. 31-39