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Characteristics and Antitumor Activity of Doxorubicin-Loaded Multifunctional Iron Oxide Nanoparticles in MEC1 and RM1 Cell Lines. [PDF]
J Funct BiomaterMaisuradze N +9 more
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Microneedle-Array-Mediated Transdermal Delivery of GCV-Functionalized Zeolitic Imidazolate Framework-8 Nanoparticles for KSHV Treatment. [PDF]
Int J Mol SciLiu C +8 more
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Characterizing immune heterogeneity in gastric cancer by high-throughput T-cell receptor sequencing: predictive clonotypes and functional signatures. [PDF]
Transl Cancer ResLiu T +6 more
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On the Zeros of the Epstein Zeta Functions(II)
On the Zeros of the Epstein Zeta Functions(II)openaire +1 more source
On Epstein's Zeta Function (I) [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 1949 1. \(ax^2+bxy+cy^2\) sei eine definite quadratische Form, also \(\Delta = 4ac-b^2>0\). Für die Zetafunktion \[ \mathsf{Z}(s)=\mathop{{\sum}'} (am^2+bmn+cn^2)^{-s}, \qquad \text{Re}\,s > 1, \] gilt die Formel \[ \mathsf{Z}(s)= 2\zeta(2s)a^{-s}+\frac{2^{2s}a^{s-1}\sqrt{\pi}}{\Gamma(s)\Delta^{s-\frac12}} \zeta(2s-1)\Gamma(s-\frac12)+Q(s) \] mit einer ...
S Chowla
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Journal of Mathematical Sciences, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Epstein’s zeta function. II
Journal of Mathematical Sciences, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Sum of the Epstein zeta function over the Riemann zeta function zeros
Lithuanian Mathematical JournalThe Epstein zeta function is defined by \[ Z_Q(s)=\sum_{(m, n) \in \mathbb{Z}^2\backslash \{(0,0)\}}\frac{1}{Q(m,n)^s}, \quad \Re(s)>1, \] where \(Q(m,n)=am^2+bmn+cn^2\) is a positive definite binary quadratic form with integer coefficients and discriminant \(b^2 ...
Ramūnas Garunkštis
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Results in Mathematics, 1994
An elementary proof is given of the range of convergence of Epstein zeta functions \[ \zeta(T:s):= \sum_{0\neq g\in \mathbb{Z}^ n} (g^ t Tg)^{- s}, \] with \(T\) any real symmetric positive-definite \(n\times n\) matrix. In particular, a very simple proof of the following theorem is presented: the series converges absolutely for \(\text{Re} (s)> n/2\).
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An elementary proof is given of the range of convergence of Epstein zeta functions \[ \zeta(T:s):= \sum_{0\neq g\in \mathbb{Z}^ n} (g^ t Tg)^{- s}, \] with \(T\) any real symmetric positive-definite \(n\times n\) matrix. In particular, a very simple proof of the following theorem is presented: the series converges absolutely for \(\text{Re} (s)> n/2\).
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