Results 61 to 70 of about 73,475 (298)

Riemann zeta fractional derivative—functional equation and link with primes [PDF]

Advances in Difference Equations, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

New progress on the zeta function: From old conjectures to a major breakthrough

Proceedings of the National Academy of Sciences of the United States of America, 2019
The zeta function ζ ( s ) today is the oldest and most important tool to study the distribution of prime numbers and is the simplest example of a whole class of similar functions, equally important for understanding the deepest problems of number theory.
E. Bombieri
semanticscholar   +1 more source

Low‐Symmetry Weyl Semimetals: A Path to Ideal Topological States

Advanced Functional Materials, EarlyView.
This study presents a theoretical framework for realizing ideal Weyl semimetals, where Weyl nodes are well‐isolated at the Fermi level. The approach is exemplified in the low‐symmetry material Cu2SnSe3, which exhibits tunable topological phases, current‐induced orbital magnetization, and a strong circular photogalvanic effect, making it a promising ...
Darius‐Alexandru Deaconu, Varun Shah, Rodion Vladimirovich Belosludov, Mohammad Saeed Bahramy   +3 more
wiley   +1 more source

Highly Sensitive Electrochemical Biosensor Based on Hairy Particles with Controllable High Enzyme Loading and Activity

Advanced Functional Materials, EarlyView.
For the first time, a highly sensitive electrochemical biosensor based on SiO2‐based hairy particles with a grafted PDMAEMA polymer brush containing a quantifiable and large amount of immobilized Laccase is reported. The fabricated biosensor exhibits a sensitivity of 0.14 A·m⁻¹, a limit of detection (LOD) of 0.1 µm, and a detection range of 0.3–750 µm,
Pavel Milkin, Anila Antony, Hongtao Cai, Antonia Debevc, Ceyda Topal, Anne Linhardt, Alla Synytska, Leonid Ionov   +7 more
wiley   +1 more source

Synergistic Osteogenesis After Co‐Administration of cmRNAs Encoding BMP‐2 and BMP‐7 Utilizing a Transcript‐Activated Matrix

Advanced Functional Materials, EarlyView.
This study demonstrates that the dual delivery of BMP‐2/‐7 coding cmRNAs for bone healing is demonstrated as feasible, safe, and highly osteogenic. Compared to single BMP‐2 or BMP‐7 cmRNAs, the combination enhances the production of both mineral and organic components of the extracellular matrix when delivered using a collagen‐HA scaffold, supporting ...
Claudia Del Toro Runzer, Joanna M. Sadowska, Nadia Roumans, Christian Plank, Christopher H. Evans, Fergal J. O'Brien, Martijn van Griensven, Elizabeth R. Balmayor   +7 more
wiley   +1 more source

Patterning the Void: Combining L‐Systems with Archimedean Tessellations as a Perspective for Tissue Engineering Scaffolds

Advanced Functional Materials, EarlyView.
This study introduces a novel multi‐scale scaffold design using L‐fractals arranged in Archimedean tessellations for tissue regeneration. Despite similar porosity, tiles display vastly different tensile responses (1–100 MPa) and deformation modes. In vitro experiments with hMSCs show geometry‐dependent growth and activity. Over 55 000 tile combinations
Maria Kalogeropoulou, Kenny A. van Kampen, Pierpaolo Fucile, Carlos Mota, Lorenzo Moroni   +4 more
wiley   +1 more source

Next‐Generation Bio‐Reducible Lipids Enable Enhanced Vaccine Efficacy in Malaria and Primate Models

Advanced Functional Materials, EarlyView.
Structure–activity relationship (SAR) optimization of bio‐reducible ionizable lipids enables the development of highly effective lipid nanoparticle (LNP) mRNA vaccines. Lead LNPs show superior tolerability and antibody responses in rodents and primates, outperforming approved COVID‐19 vaccine lipids.
Ruben De Coen, Sabah Kasmi, Shrinivas Dumbre, Lies Baekens, Elise Seynaeve, Louise Van den Hauwe, Niccolò Cantini, Aello Garantoudi, Filipe Branco Madeira, Alain Marrot, Emma Tuypens, Sofie Seghers, Anna Kuchmiy, Elisabeth Brabants, Bart Vanderborght, Ine Maes, Sarah Vandenberghe, Jessica Filtjens, Alícia Gordún Peiró, Daliya Kancheva, Ayla Debraekeleer, Florence Lambolez, Emily De Lombaerde, Yong Chen, Rafael Miyazawa Martins, Pauline Formaglio, Damya Laoui, Sofie Deschoemaeker, Bruno G. De Geest, Rogerio Amino, Stefaan De Koker   +30 more
wiley   +1 more source

DENTA: A Dual Enzymatic Nanoagent for Self‐Activating Tooth Whitening and Biofilm Disruption

Advanced Functional Materials, EarlyView.
The nanoapatite with dual enzymes (DENTA) accumulates in dentinal tubules, reducing hypersensitivity caused by dental nerve exposure and facilitating continuous ROS generation through salivary glucose for effective, long‐term whitening. The dentin structures remain non‐destructive due to the low concentration of ROS, demonstrating excellent cell ...
Junseok Kim, Dai‐Hwan Kim, Priyannth R. Sundharbaabu, Chae Yeon Lee, Jina Bae, Jiyu Hyun, Young‐Ju Jang, Haeni Kim, Min‐Ho Hong, Juewen Liu, Tobias Fey, Suk Ho Bhang, Jun Hyuk Heo, Jung Heon Lee   +13 more
wiley   +1 more source

Asymptotic formulas for Dirichlet convolutions

AIMS Mathematics
In this paper, we use convoluting prime-number-theorem-related functions (Mobius, von Mangoldt, and Liouville) by the Piltz divisor function to research an asymptotic formula for the convolution sum $ (x\ge 1) $.
Ruiyang Li, Hai Yang
doaj   +1 more source

The Riemann Zeta Function and Prime Numbers

, 2023
This thesis is the result of a literature study regarding the relationship between the Riemann zeta function and prime numbers. We introduce the $\zeta$ function, discussing its properties. Then, starting from Riemann's original series, we derive the Euler product formula and functional equation for $\zeta$.
Rune, Oskar, Envall, Linus
openaire   +1 more source