Explicit upper bounds for |L(1,χ)| for primitive even Dirichlet characters
Stéphane Louboutin (2002)
Acta Arithmetica
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying similar documents to “Euler sums with Dirichlet characters”
Explicit upper bounds for |L(1,χ)| for primitive even Dirichlet characters
Some identities for multiple Dedekind sums attached to Dirichlet characters
Kazuhito Kozuka (2011)
Acta Arithmetica
Similarity:
Combinatorial relations for Euler-Zagier sums
Hirofumi Tsumura (2004)
Acta Arithmetica
Similarity:
On the evaluation of Euler sums.
Crandall, Richard E., Buhler, Joe P. (1994)
Experimental Mathematics
Similarity:
Multiplicity results for the functional equation of the Dirichlet L-functions
G. Molteni (2010)
Acta Arithmetica
Similarity:
Multiplicity results for the functional equation of the Dirichlet L-functions: case p=2
G. Molteni (2010)
Acta Arithmetica
Similarity:
On various mean values of Dirichlet L-functions
Takuya Okamoto, Tomokazu Onozuka (2015)
Acta Arithmetica
Similarity:
We give a method of obtaining explicit formulas for various mean values of Dirichlet L-functions which are expressed in terms of the Riemann zeta-function, the Euler function and Jordan's totient functions. Applying those results to mean values of Dirichlet L-functions, we also give an explicit formula for certain mean values of double Dirichlet L-functions.
On Eisenstein series with characters and the values of Dirichlet L-functions
Bruce Berndt (1975)
Acta Arithmetica
Similarity:
On the mean value of L(m,χ )L(n,χ̅) at positive integers m,n ≥ 1
Huaning Liu, Wenpeng Zhang (2006)
Acta Arithmetica
Similarity:
Consecutive evaluation of Euler sums.
Boyadzhiev, Khristo N. (2002)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Experimental evaluation of Euler sums.
Bailey, David H., Borwein, Jonathan M., Girgensohn, Roland (1994)
Experimental Mathematics
Similarity:
Explicit evaluations of quadruple Euler sums
Yao Lin Ong, Minking Eie, Chuan-Sheng Wei (2010)
Acta Arithmetica
Similarity:
A note on the Dirichlet characters of polynomials
Wenpeng Zhang, Weili Yao (2004)
Acta Arithmetica
Similarity:
The equation n₁n₂ = n₃n₄, the gcd-sum function and the mean values of certain character sums
Huaning Liu, Wenguang Zhai (2012)
Acta Arithmetica
Similarity:
Horizontal monotonicity of the modulus of the zeta function, L-functions, and related functions
Yu. Matiyasevich, F. Saidak, P. Zvengrowski (2014)
Acta Arithmetica
Similarity:
As usual, let s = σ + it. For any fixed value of t with |t| ≥ 8 and for σ < 0, we show that |ζ(s)| is strictly decreasing in σ, with the same result also holding for the related functions ξ of Riemann and η of Euler. The following inequality related to the monotonicity of all three functions is proved: ℜ (η'(s)/η(s)) < ℜ (ζ'(s)/ζ(s)) < ℜ (ξ'(s)/ξ(s)). It is also shown that extending the above monotonicity result for |ζ(s)|, |ξ(s)|, or |η(s)|...
On the Mean Value of Dirichlet Series.
Uckath-Variyath Balakrishnan (1984)
Mathematische Zeitschrift
Similarity: