지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
In this paper we present a new family of identities for parametric Euler sums which generalize a result of David Borwein et al. \cite{BBD2008}. We then apply it to obtain a family of identities relating quadratic and cubic sums to linear sums and zeta values. Furthermore, we also evaluate several other series involving harmonic numbers and alternating harmonic numbers, and give explicit formulas.
목차
등록된 정보가 없습니다.
참고문헌 (25)
참고문헌 신청
D. H. Bailey / 1994 / Experimental evaluation of Euler sums / Experiment. Math 3(1):17~30
D. Borwein / 2006 / Parametric Euler sum identities / J. Math. Anal. Appl 316(1):328~338
D. Borwein / 1995 / Explicit evaluation of Euler sums / Proc. Edinburgh Math 38(2):277~294
J. M. Borwein / 2006 / Thirty-two goldbach variations / Int. J. Number Theory 2(1):65~103
J. M. Borwein / 1997 / Evaluations of k-fold Euler/Zagier sums: a compendium of results for arbitrary k / Electron. J. Combin 4(2):21
D. Borwein / 2006 / Parametric Euler sum identities / J. Math. Anal. Appl 316(1):328~338
D. Borwein / 1995 / Explicit evaluation of Euler sums / Proc. Edinburgh Math 38(2):277~294
J. M. Borwein / 2006 / Thirty-two goldbach variations / Int. J. Number Theory 2(1):65~103
J. M. Borwein / 1997 / Evaluations of k-fold Euler/Zagier sums: a compendium of results for arbitrary k / Electron. J. Combin 4(2):21
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Parametric Euler Sums of Harmonic Numbers
대한수학회보
2024 .07
-
Explicit evaluation of harmonic sums
대한수학회논문집
2018 .01
-
Evaluations of some quadratic Euler sums
대한수학회보
2020 .01
-
Special values and integral representations for the Hurwitz-type Euler zeta functions
대한수학회지
2018 .01
-
Some evaluations of infinite series involving Dirichlet type parametric harmonic numbers
대한수학회보
2024 .05
-
Asymptotic behavior of the inverse of tails of Hurwitz zeta function
대한수학회지
2020 .01
-
ON THE RECURRENCE FORMULA OF THE EULER ZETA FUNCTIONS
충청수학회지
2016 .01
-
OBSERVATIONS ON IDENTITIES AND RELATIONS FOR INTERPOLATION FUNCTIONS AND SPECIAL NUMBERS
Advanced Studies in Contemporary Mathematics
2018 .01
-
On Some Sums at the a-points of Derivatives of the Riemann Zeta-Function
Kyungpook Mathematical Journal
2024 .09
-
SOME IDENTITIES FOR (p, q)-HURWITZ ZETA FUNCTION
Journal of applied mathematics & informatics
2019 .01
-
CERTAIN INTEGRAL FORMULAS INVOLVING LOGARITHM FUNCTION
Nonlinear Functional Analysis and Applications
2018 .12
-
SYMMETRIC PROPERTIES FOR GENERALIZED TWISTED q-EULER ZETA FUNCTIONS AND q-EULER POLYNOMIALS
Journal of applied mathematics & informatics
2016 .01
-
Ihara zeta function of dumbbell graphs
한국수학논문집
2018 .01
-
SYMMETRIC IDENTITIES FOR TWISTED q-EULER ZETA FUNCTIONS
Journal of applied mathematics & informatics
2015 .01
-
HARMONIC NUMBERS AT HALF INTEGER AND BINOMIAL SQUARED SUMS
호남수학학술지
2016 .01
-
ON THE IDENTITIES BETWEEN THE ARITHMETIC FUNCTIONS
호남수학학술지
2015 .01
-
A family of functions associated with three term relations and Eisenstein series
대한수학회보
2016 .01
-
An extension of the extended Hurwitz-Lerch Zeta Functions of Two Variables
대한수학회보
2017 .01
-
A RESEARCH ON A NEW APPROACH TO EULER POLYNOMIALS AND BERNSTEIN POLYNOMIALS WITH VARIABLE [x]<sub>q</sub>
Journal of applied mathematics & informatics
2017 .01
-
ZERO-DENSITY ESTIMATES FOR EPSTEIN ZETA FUNCTIONS OF CLASS NUMBERS 2 OR 3
대한수학회지
2017 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0