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2. Odd degree number fields with odd class number

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3. Search for lepton-number- and baryon-number-violating tau decays at Belle

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   Sahoo, D. ; Mohanty, G. B. ; Trabelsi, K. ; Adachi, I. ; Adamczyk, K. ; Aihara, H. ; Al Said, S. ; Asner, D. M. ; Aushev, T. ; Ayad, R. ; et al ( December 2020 , Physical Review D)
4. Kolmogorov's dissipation number and the number of degrees of freedom for the 3D Navier–Stokes equations

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   Cheskidov, Alexey ; Dai, Mimi ( April 2019 , Proceedings of the Royal Society of Edinburgh: Section A Mathematics)

   Abstract Kolmogorov's theory of turbulence predicts that only wavenumbers below some critical value, called Kolmogorov's dissipation number, are essential to describe the evolution of a three-dimensional (3D) fluid flow. A determining wavenumber, first introduced by Foias and Prodi for the 2D Navier–Stokes equations, is a mathematical analogue of Kolmogorov's number. The purpose of this paper is to prove the existence of a time-dependent determining wavenumber for the 3D Navier–Stokes equations whose time average is bounded by Kolmogorov's dissipation wavenumber for all solutions on the global attractor whose intermittency is not extreme.
5. RepB C-terminus mutation of a pRi-repABC binary vector affects plasmid copy number in Agrobacterium and transgene copy number in plants

   https://doi.org/10.1371/journal.pone.0200972  

   Vaghchhipawala, Z. ( November 2018 , PloS one)

   A native repABC replication origin from pRiA4b was previously reported as a single copy plasmid in Agrobacterium tumefaciens and can improve the production of transgenic plants with a single copy insertion of transgenes when it is used in binary vectors for Agrobacter-ium-mediated transformation. A high copy pRi-repABC variant plasmid, pTF::Ri, which does not improve the frequency of single copy transgenic plants, has been reported in the litera-ture. Sequencing the high copy pTF::Ri repABC operon revealed the presence of two muta-tions: one silent mutation and one missense mutation that changes a tyrosine to a histidine (Y299H) in a highly conserved area of the C-terminus of the RepB protein (RepBY299H). Reproducing these mutations in the wild-type pRi-repABC binary vector showed that Agro-bacterium cells with the RepBY299H mutation grow faster on both solidified and in liquid medium, and have higher plasmid copy number as determined by ddPCR. In order to inves-tigate the impact of the RepBY299H mutation on transformation and quality plant production, the RepBY299H mutated pRi-repABC binary vector was compared with the original wild-type pRi-repABC binary vector and a multi-copy oriV binary vector in canola transformation. Molecular analyses of the canola transgenic plants demonstrated that the multi-copy pRi-repABC with the RepBY299H mutationmore »provides no advantage in generating high frequency single copy, backbone-free transgenic plants in comparison with the single copy wild-type pRi-repABC binary vector.« less