Results 41 to 50 of about 73,515 (215)
Multiple finite Riemann zeta functions
, 2004 Observing a multiple version of the divisor function we introduce a new zeta function which we call a multiple finite Riemann zeta function. We utilize some $q$-series identity for proving the zeta function has an Euler product and then, describe the ...
Kimoto, K. +3 more
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Truncated Infinitesimal Shifts, Spectral Operators and Quantized Universality of the Riemann Zeta Function [PDF]
, 2013 We survey some of the universality properties of the Riemann zeta function $\zeta(s)$ and then explain how to obtain a natural quantization of Voronin's universality theorem (and of its various extensions).
Herichi, Hafedh, Lapidus, Michel L.
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On Zeta Functions of Arithmetically Defined Graphs
Finite Fields and Their Applications, 1999 Arithmetically defined graphs \(X(n)\), namely quotients of the Bruhat-Tits tree over a local field, are studied, using results from \textit{I. Rust} [Finite Fields Appl. 4, No. 4, 283-306 (1998; Zbl 0933.20033)]. Explicit formulae for the zeta function of \(X(n)\) for small \(n\) are given and, by employing techniques from \textit{K.
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A $q$-series identity and the arithmetic of Hurwitz zeta functions [PDF]
Proceedings of the American Mathematical Society, 2002 Summary: Using a single variable theta identity, which is similar to the Jacobi Triple Product identity, we produce the generating functions for values of certain expressions of Hurwitz zeta functions at non-positive integers.
Coogan, Gwynneth H., Ono, Ken
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Representation growth and representation zeta functions of groups [PDF]
, 2012 We give a short introduction to the subject of representation growth and representation zeta functions of groups, omitting all proofs. Our focus is on results which are relevant to the study of arithmetic groups in semisimple algebraic groups, such as ...
Klopsch, Benjamin
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Advanced Science, EarlyView.SeZM NPs selectively target M2b macrophages through mannose–MRC1 (CD206) recognition, enhance GPX1 biosynthesis, and suppress mitochondrial ROS generation, oxidative stress, and JAK–STAT signaling. This dual regulation reduces pro‐inflammatory cytokine release, limits immune cell infiltration and fibrosis, and preserves renal function, providing a ...
Haoran Lv +16 more
wiley +1 more source
Modular Calabi-Yau fourfolds and connections to M-theory fluxes
Journal of High Energy PhysicsIn this work, we study the local zeta functions of Calabi-Yau fourfolds. This is done by developing arithmetic deformation techniques to compute the factor of the zeta function that is attributed to the horizontal four-form cohomology.
Hans Jockers +2 more
doaj +1 more source
An arithmetic zeta function respecting multiplicities
, 2020 In this paper, we study the arithmetic zeta function $$\mathscr{Z}_{\mathcal{X}}(s) = \prod_p \prod_{\substack{x \in \mathcal{X}_p \\ \text{closed}}} \Big( \frac{1}{1-|κ(x)|^{-s}} \Big)^{\mathfrak{m}_{p}(x)}$$ associated to a scheme $\mathcal{X}$ of finite type over $\mathbb{Z}$, where $κ(x)$ denotes the residue field and $\mathfrak{m}_{p}(x)$ the ...
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Zeta functions and composition factors for arithmetic orders
Mathematische Zeitschrift, 1987 In earlier papers, the present authors have made a deep study of ''zeta- functions'' associated with the counting of left ideals X in an arithmetic order \(\Lambda\) according to the index (\(\Lambda\) :X) of X in \(\Lambda\) ; see their survey article [Lect. Notes Math. 1142, 50-87 (1985; Zbl 0575.12007)]. Here \(\Lambda\) is a \({\mathbb{Z}}\)-order (
Bushnell, Colin J., Reiner, Irving
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Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]
Duke Mathematical Journal, 2013 62 pages, minor ...
Avni, Nir +3 more
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