We obtain upper bounds for the torsion in the -groups of the ring of integers of imaginary quadratic number fields, in terms of their discriminants.
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http://dx.doi.org/10.1007/s00229-024-01598-4 | DOI Listing |
Res Number Theory
December 2024
Department of Mathematics, King's College London, Strand, London, WC2R 2LS UK.
Let and be elliptic curves over with complex multiplication by the ring of integers of an imaginary quadratic field and let be the minimal desingularisation of the quotient of by the action of . We study the Brauer groups of such surfaces and use them to furnish new examples of transcendental Brauer-Manin obstructions to weak approximation.
View Article and Find Full Text PDFJ Chem Theory Comput
November 2024
Department of Chemical and Biological Engineering, University at Buffalo, The State University of New York, Buffalo, New York 14260, United States.
Imaginary-time path integral (PI) is a rigorous tool to treat nuclear quantum effects in static properties. However, with its high computational demand, it is crucial to devise precise estimators. We introduce generalized PI estimators for the energy and heat capacity that utilize coordinate mapping.
View Article and Find Full Text PDFManuscr Math
October 2024
Bern University of Applied Sciences, School of Engineering and Computer Science, Quellgasse 21, CH-2501 Bienne, Switzerland.
We obtain upper bounds for the torsion in the -groups of the ring of integers of imaginary quadratic number fields, in terms of their discriminants.
View Article and Find Full Text PDFJ Mol Model
June 2024
Faculty of Environmental Science and Engineering, Kunming University of Science and Technology, Kunming, 650500, China.
Context: Freon, a greenhouse gas that contributes to the depletion of the ozone layer, has been the subject of investigation in this study. The catalytic hydrolysis enhancement of CFC-12 by ZrO was examined using a density functional theory approach. A detailed reaction mechanism and a new reaction pathway were proposed.
View Article and Find Full Text PDFPhys Rev E
November 2023
Department of Engineering, Reykjavik University, Menntavegi 1, IS-102 Reykjavik, Iceland.
In quantum transport calculations, the proper handling of incoming and outgoing modes for retarded Green's functions is achieved via the lead self-energies. Computationally efficient and accurate methods to calculate the self-energies are thus very important. Here we present an alternative method for calculating lead self-energies which improves on a standard approach to solving quadratic eigenvalue problems that arise in quantum transport modeling.
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