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Zeta-Functions of Modular Curves
2006This work gives an exposition and a generalization of classical results due to M. Eichler [1] and G. Shimura [2], which give the expression of congruence-zeta-functions of some modular curves in terms of Hecke polynomials. The central point in these papers is the famous congruence relation which links the local factor of the Mellin transforms of ...
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Gene regulation by long non-coding RNAs and its biological functions
Nature Reviews Molecular Cell Biology, 2020Luisa Statello +2 more
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1996
For a lattice \(L\) and a group \(G\) a map \(\mu: L\to G\) is called a modular function if for all \(x,y\in L\), we have \(\mu(x\vee y)+ \mu(x\wedge y)= \mu(x)+ \mu(y)\). The important examples that provide much of the motivation for the study of modular functions are furnished by measures on Boolean algebras and linear operators on vector lattices ...
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For a lattice \(L\) and a group \(G\) a map \(\mu: L\to G\) is called a modular function if for all \(x,y\in L\), we have \(\mu(x\vee y)+ \mu(x\wedge y)= \mu(x)+ \mu(y)\). The important examples that provide much of the motivation for the study of modular functions are furnished by measures on Boolean algebras and linear operators on vector lattices ...
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The expanding regulatory mechanisms and cellular functions of circular RNAs
Nature Reviews Molecular Cell Biology, 2020Ling-Ling Chen
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Covalent Organic Frameworks: Design, Synthesis, and Functions
Chemical Reviews, 2020Keyu Geng, Ting He, Ruoyang Liu
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Risk assessment of microplastic particles
Nature Reviews Materials, 2022Albert A Koelmans +2 more
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The regulation and functions of DNA and RNA G-quadruplexes
Nature Reviews Molecular Cell Biology, 2020Jochen Spiegel +2 more
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