Quantum mechanics, molecular dynamics and statistical mechanics methods are used to analyze the importance of neutral Hoogsteen-wobble G.C pairing in the stabilization of triple helices based on the poly-(G.C-C) trio at neutral pH and low ionic strength. In spite of the existence of a single hydrogen bond, the Hoogsteen-wobble G.C pair is found to be quite stable both in gas phase and solvated ...

Some necessary and sufficient conditions are given for the existence of a G-positive (G-repositive) solution to adjointable operator equations $AX=C,AXA^{left( astright) }=C$ and $AXB=C$ over Hilbert $C^{ast}$-modules, respectively. Moreover, the expressions of these general G-positive (G-repositive) solutions are also derived. Some of the findings of this paper extend some known results in the...

Unit group computations are a cryptographic primitive for which one has fast quantum algorithm, but the required number of qubits is $$\tilde{O}(m^5)$$ . In this work we propose modification algorithm $$\tilde{O}(m^2)$$ in case cyclotomic fields. Moreover, under recent conjecture on size class $$\mathbb Q(\zeta _m+\zeta _m^{-1})$$ , much simpler because it hidden subgroup problem (HSP) rather t...