Multiplicative functions additive on polygonal numbers
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DOI: 10.1007/s00010-021-00824-8
Abstract: We prove that the set $$\mathcal {P}$$ ( $$\mathcal {H}$$ , resp.) of all positive pentagonal (hexagonal, resp.) numbers is an additive uniqueness set for the collection of multiplicative functions; if a multiplicative function f… read more here.
Keywords: polygonal numbers; additive polygonal; resp; multiplicative functions ... See more keywords
On Finitistic Flat Dimension of Rings and Schemes
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DOI: 10.1007/s41980-020-00381-x
Abstract: Assume that $$(X,{\mathcal {O}}_X)$$ ( X , O X ) is an arbitrary scheme. The concept of the big (resp. little) finitistic flat dimension FFD( X ) (resp. fFD( X )) of X will be… read more here.
Keywords: dimension; finitistic flat; fpd; flat dimension ... See more keywords
Can actigraphy be used to define lithium response dimensions in bipolar disorders?
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DOI: 10.1016/j.jad.2021.01.060
Abstract: BACKGROUND Actigraphy is commonly used in case-control studies to explore sleep-wake patterns and circadian rhythmicity in bipolar disorders (BD). However, there is limited ecological research regarding actigraphy parameters associated with response to lithium (Li_Resp). METHODS… read more here.
Keywords: bipolar disorders; response; resp; pca ... See more keywords
The winner takes it all but one
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DOI: 10.1017/jpr.2023.23
Abstract: We study competing first passage percolation on graphs generated by the configuration model with infinite-mean degrees. Initially, two uniformly chosen vertices are infected with a type 1 and type 2 infection, respectively, and the infection… read more here.
Keywords: infection; resp; winner takes; takes one ... See more keywords
Operators between different weighted Fréchet and (LB)-spaces of analytic functions
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DOI: 10.3906/mat-2101-95
Abstract: We study some classical operators defined on the weighted Bergman Fréchet space Apα+ (resp. weighted Bergman (LB)-space Apα− ) arising as the projective limit (resp. inductive limit) of the standard weighted Bergman spaces into the… read more here.
Keywords: chet space; resp; limit; operators different ... See more keywords