منابع مشابه
2-Amino-5-nitrophenyl 2-chlorophenyl ketone
In the title compound, C(13)H(9)ClN(2)O(3), an intra-molecular hydrogen bond between the carbonyl O and an amine H atom from the 2-amino-benzoyl group stabilizes the mol-ecule, keeping these two groups nearly in the same plane [dihedral angle 14.6 (6)°]. The dihedral angle between the mean planes of the planar 2-amino-benzoyl and 2-chloro-benzoyl groups is 73.8 (6)°. The crystal packing is stab...
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The first examples of the directed, boron-mediated aldol reaction between different ketones are presented. Transformation of a variety of ketones to their corresponding boron enolates with Chx2BCl/Et3N, followed by reaction with acceptor ketones in diethyl ether, and oxidation of the resultant boron aldolate (H2O2, MeOH/pH 7 buffer), provided the aldol addition products. The reaction was most f...
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In this paper we show how one can obtain simultaneous rational approximants for ζq(1) and ζq(2) with a common denominator by means of Hermite-Padé approximation using multiple little q-Jacobi polynomials and we show that properties of these rational approximants prove that 1, ζq(1), ζq(2) are linearly independent over Q. In particular this implies that ζq(1) and ζq(2) are irrational. Furthermor...
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There is only one pair of non-real zeros of ζ′′(s), and of ζ′′′(s), in the left half-plane. The Riemann Hypothesis implies that ζ′′(s) and ζ′′′(s) have no zeros in the strip 0 ≤ <s < 1 2 . It was shown by Speiser [3] that the Riemann Hypothesis is equivalent to ζ′(s) having no zeros in 0 < σ < 12 (as usual we write s = σ + it). Levinson and Montgomery [2] gave a different proof; moreover, they ...
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ژورنال
عنوان ژورنال: Berichte der deutschen chemischen Gesellschaft
سال: 1909
ISSN: 0365-9496,1099-0682
DOI: 10.1002/cber.190904203169