scholarly journals Symbolic summation methods and congruences involving harmonic numbers

2019 ◽  
Vol 357 (10) ◽  
pp. 756-765
Author(s):  
Guo-Shuai Mao ◽  
Chen Wang ◽  
Jie Wang
Keyword(s):  
Harmonic Numbers ◽  
Summation Methods ◽  
Symbolic Summation

scholarly journals Harmonic series with polylogarithmic functions

2022 ◽  
Vol 70 (1) ◽  
pp. 43-61
Author(s):  
Vuk Stojiljković ◽  
Nicola Fabiano ◽  
Vesna Šešum-Čavić
Keyword(s):  
Zeta Function ◽  
Harmonic Series ◽  
Harmonic Numbers ◽  
Summation Methods ◽  
Function Series

Introduction/purpose: Some sums of the polylogarithmic function associated with harmonic numbers are established. Methods: The approach is based on using the summation methods. Results: This paper generalizes the results of the zeta function series associated with the harmonic numbers. Conclusions: Various interesting series as the consequence of the generalization are obtained.

On 3-adic Valuations of Generalized Harmonic Numbers

Integers ◽  
2012 ◽  
Vol 12 (2) ◽  
Author(s):  
Ken Kamano
Keyword(s):  
Harmonic Numbers ◽  
Generalized Harmonic Numbers

Abstract.We investigate 3-adic valuations of generalized harmonic numbers

scholarly journals Some combinatorial series identities associated with the Digamma function and harmonic numbers

2000 ◽  
Vol 13 (3) ◽  
pp. 101-106 ◽  
Author(s):  
Tsu-Chen Wu ◽  
Shih-Tong Tu ◽  
H.M. Srivastava
Keyword(s):  
Harmonic Numbers ◽  
Digamma Function
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