Euler sums of generalized hyperharmonic numbers
Rusen Li
Abstract
In this paper, we mainly show that Euler sums of generalized hyperharmonic numbers can be expressed in terms of linear combinations of the classical Euler sums.
Topics & Concepts
Euler's formulaEuler number (physics)MathematicsSemi-implicit Euler methodProof of the Euler product formula for the Riemann zeta functionEuler summationApplied mathematicsPure mathematicsBackward Euler methodEuler equationsMathematical analysisPrime zeta functionArithmetic zeta functionRiemann hypothesisAdvanced Mathematical IdentitiesAdvanced Combinatorial MathematicsAnalytic Number Theory Research