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Screening for Metal-Chelating Activity in Potato Protein Hydrolysates Using Surface Plasmon Resonance and Peptidomics. [PDF]
Bjørlie M +6 more
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Arithmetical identities and zeta‐functions
Mathematische Nachrichten, 2010AbstractIn this paper we establish a class of arithmetical Fourier series as a manifestation of the intermediate modular relation, which is equivalent to the functional equation of the relevant zeta‐functions. One of the examples is the one given by Riemann as an example of a continuous non‐differentiable function.
Yoshio Tanigawa +3 more
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RUELLE TYPE ZETA FUNCTIONS FOR TORI AND SOME ARITHMETICS
International Journal of Mathematics, 2004We introduce various Ruelle type zeta functions ζL(s) according to a choice of homogeneous "length functions" for a lattice L in [Formula: see text] via Euler products. The logarithm of each ζL(s) yields naturally a certain arithmetic function. We study the asymptotic distribution of averages of such arithmetic functions.
Kurokawa Nobushige, Wakayama Masato
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On the zetafunction of an arithmetical semigroup [PDF]
The concept of a commutative additive arithmetical semigroup \(A\) was introduced by John Knopfmacher. Associated to \(A\) there is a Zeta function \(Z(x)\) which reflects the arithmetical properties of \(A\). It is defined by \[ Z(x)=\sum_{n=0}^\infty f(n)x^n=\prod_{n=1}^\infty(1-x^n)^{-g(n)}, \] where \(f(n)\) resp.
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The values of the Riemann zeta-function on generalized arithmetic progressions
Archiv der Mathematik, 2018We study the mean of the values of the zeta-function on a generalized arithmetic progression on the critical line.
Selin Selen Özbek, Jörn Steuding
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A PROBABILISTIC ZETA FUNCTION FOR ARITHMETIC GROUPS
International Journal of Algebra and Computation, 2005A profinite group G is positively finitely generated (PFG) if for some k, the probability P(G,k) that k random elements generate G is positive. It was conjectured that if G is PFG, then the function P(G,k) can be interpolated to an analytic function defined in some right half-plane.
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