Add to ORKGInternational audienceWe study three special Dirichlet series, two of them alternating, related to the Riemann zeta-function. These series are shown to have extensions to the entire complex plane and we find their values at the negative integers (or residues at poles). These values are given in terms of Bernoulli and Euler numbers
In response to a letter from Goldbach, Euler considered sums of the form [unable to replicate formul...
Copyright c © 2013 Huizeng Qin and Youmin Lu. This is an open access article distributed under the C...
International audienceA symbolic computation technique is used to derive closed-form expressions for...
International audienceIn this article, we study a class of conditionally convergent alternating seri...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
For s∈ℂ, the Euler zeta function and the Hurwitz-type Euler zeta function are defined by ζE(s)=2∑n=1...
Abstract: Fourier series for Euler polynomials is used to obtain information about values of the Rie...
In this paper, some new results are reported for the study of Riemann zeta function ζ(s) in the crit...
In this paper, by applying a certain Saalsch ütz–Gelfand type formulafor generalized Bernou...
In these few pages, we try to establish the sum to innity for some alternating series of term the ze...
We use methods of real analysis to continue the Riemann zeta function ζ(s)ζ(s) to all complex ss, an...
We use methods of real analysis to continue the Riemann zeta function ζ(s)ζ(s) to all complex ss, an...
In response to a letter from Goldbach, Euler considered sums of the form [unable to replicate formul...
Copyright c © 2013 Huizeng Qin and Youmin Lu. This is an open access article distributed under the C...
International audienceA symbolic computation technique is used to derive closed-form expressions for...
International audienceIn this article, we study a class of conditionally convergent alternating seri...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
Euler finds the values of ζ(2n), where ζ is now named as the Riemann zeta function. He introduces th...
For s∈ℂ, the Euler zeta function and the Hurwitz-type Euler zeta function are defined by ζE(s)=2∑n=1...
Abstract: Fourier series for Euler polynomials is used to obtain information about values of the Rie...
In this paper, some new results are reported for the study of Riemann zeta function ζ(s) in the crit...
In this paper, by applying a certain Saalsch ütz–Gelfand type formulafor generalized Bernou...
In these few pages, we try to establish the sum to innity for some alternating series of term the ze...
We use methods of real analysis to continue the Riemann zeta function ζ(s)ζ(s) to all complex ss, an...
We use methods of real analysis to continue the Riemann zeta function ζ(s)ζ(s) to all complex ss, an...
In response to a letter from Goldbach, Euler considered sums of the form [unable to replicate formul...
Copyright c © 2013 Huizeng Qin and Youmin Lu. This is an open access article distributed under the C...
International audienceA symbolic computation technique is used to derive closed-form expressions for...