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Publication Date
Tue May 30 2023
Journal Name
Iraqi Journal Of Science
Volume
64
Issue Number
5
DOI
10.24996/ijs.2023.64.5.25
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ijs-6937
A Note on Overpartition Triples
Partitions
Overpartitions
Overpartition triples
Congruences
Sum of divisors
Ali H.
Anaam Mutar
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     Let n be a positive integer and  denotes the number of overpartition triples. In this note, we prove two identities modulo 16 and 32 for . We provide a new method to reprove a result of Lin Wang for completely determining and  modulo 16. Also, we find and prove an infinite family of congruences modulo 32 for . The new method relies on expanding the fourth power of the overpartition infinite product together with the help of Gauss' identity.

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Synthesis, Characterization and Stability Study of V(IV), Zr(IV), Rh(III), Pd(II), Cd(II) and Hg(II) Complexes with Pyrazol Derivative
In this work lactone (1) was prepared from the reaction of p-nitro phenyl hydrazine with ethylacetoacetate
which upon treatment with benzoyl chloride afforded the lactame (2). The reaction of (2) with 2-amino phenol produced a new Schiff base (L) in good yield. Complexes of V(IV)
Zr(IV)
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Cd(II) and Hg(II) with the new Schiff base (L) have been prepared. The compounds (1
2) were characterized by FT-IR and UV spectroscopy
as well as characterizing ligand (L) by the same techniques with elemental analysis (C.H.N) and (1H-NMR). The prepared complexes were identified and their structural geometries were suggested by using elemental analysis (C.H.N)
flame atomic absorption technique
FT-IR and UV-Vis spectroscopy
in addition to magnetic susceptibility and conductivity measurements. Metal to ligand [M:L] ratio was obtained for all complexes in ethanol using molar ratio method
which gave comparable results with those obtained for the solid complexes. As well as the appa
Sinan M.
Enaam M.
Maysoon A
Sarab M
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In this work lactone (1) was prepared from the reaction of p-nitro phenyl hydrazine with ethylacetoacetate, which upon treatment with benzoyl chloride afforded the lactame (2). The reaction of (2) with 2-amino phenol produced a new Schiff base (L) in good yield. Complexes of V(IV), Zr(IV), Rh(III), Pd(II), Cd(II) and Hg(II) with the new Schiff base (L) have been prepared. The compounds (1, 2) were characterized by FT-IR and UV spectroscopy, as well as characterizing ligand (L) by the same techniques with elemental analysis (C.H.N) and (1H-NMR). The prepared complexes were identified and their structural geometries were suggested by using elemental analysis (C.H.N), flame atomic absorption technique, FT-IR and UV-Vis spectroscopy, in additio

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