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Experimental Study and Molecular Modeling of Antibody Interactions with Different Fluoroquinolones. [PDF]
Meteleshko YI +7 more
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Influence maximization under the linear threshold model on a CMOS Ising solver. [PDF]
Zeng Z +6 more
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A study of notation dependence in fraction magnitude processing using event related potentials. [PDF]
Lin W +7 more
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On cohomology rings of a cyclic group and a ring of integers
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On cohomology rings of a cyclic group and a ring of integers
SUT Journal of Mathematics, 2002Let \(p\) be a prime number, \(G\) be the cyclic group of order \(p^\nu\), \(\nu\) a positive integer \(\geq 1\), and \(\Gamma\) be the ring of integers of the cyclotomic field \(\mathbb{Q}(\zeta)\) for a primitive \(p^\nu\)-th root of unity \(\zeta\).
Hayami, Takao, Sanada, Katsunori
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Riesz products on the ring of dyadic integers [PDF]
A class of Riesz products on the ring of dyadic integers is introduced. Using almost everywhere convergence of certain series, Hausdorff dimension of these Riesz products is determined.
Zhang, Xiong-Ying
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Representations of Cyclic Groups in Rings of Integers, I
The Annals of Mathematics, 1962Let Gk be a cyclic group of order k, and let ZGk denote its group ring over the ring Z of rational integers. We denote by n(ZGk) the number of non-isomorphic indecomposable left ZGk-modules having finite Z-bases. In 1938 Diederichsen [2] proved that n(ZG,) is finite for p a rational prime, and gave an incorrect proof that n(ZG4) is infinite.
Heller, A., Reiner, Irving
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Sum of Divisors in a Ring of Gaussian Integers
Ukrainian Mathematical Journal, 2001Summary: We construct an asymptotic formula for a summation function for \(\sigma_a(\alpha)\), where \(\sigma_a(\alpha)\) is the sum of the \(a\)-th powers of the norms of divisors of the Gaussian integer \(\alpha\) on an arithmetic progression \(\alpha\sim\alpha_0\pmod\gamma\) and in a narrow sector \(\phi_1\leq\operatorname {arg ...
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