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A note on the zeros of zeta and L-functions
, 2015Let $$\pi S(t)$$πS(t) denote the argument of the Riemann zeta-function at the point $$s=\tfrac{1}{2}\,+\,it$$s=12+it. Assuming the Riemann hypothesis, we give a new and simple proof of the sharpest known bound for S(t).
E. Carneiro +2 more
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The Second Moment of Twisted Modular L-Functions
, 2014We prove an asymptotic formula with a power saving error term for the (pure or mixed) second moment $$\underset{\chi \bmod {q}}{\left. \sum \right.^{\ast}} L(1/2, f_1\otimes \chi) \overline{L(1/2, f_2 \otimes \chi)}$$∑*χmodqL(1/2,f1⊗χ)L(1/2,f2⊗χ)¯of ...
V. Blomer, Djordje Milićević
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Families of L -Functions and Their Symmetry
, 2014A few years ago the first-named author proposed a working definition of a family of automorphic L-functions. Then the work by the second and third-named authors on the Sato–Tate equidistribution for families made it possible to give a conjectural answer ...
P. Sarnak, S. Shin, Nicolas Templier
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Derivatives and L-Functions for GL n
, 2017J. Cogdell, I. Piatetski-Shapiro
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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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Gene regulation by long non-coding RNAs and its biological functions
Nature Reviews Molecular Cell Biology, 2020Luisa Statello +2 more
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A framework for understanding the functions of biomolecular condensates across scales
Nature Reviews Molecular Cell Biology, 2020Michael K Rosen
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Global view of human protein glycosylation pathways and functions
Nature Reviews Molecular Cell Biology, 2020Katrine T Schjoldager +2 more
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Long non-coding RNAs: definitions, functions, challenges and recommendations
Nature Reviews Molecular Cell Biology, 2023John S Mattick +2 more
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