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Your search keyword '"*NUMBER theory"' showing total 2 results
2 results on '"*NUMBER theory"'

1. Formulas for partition k-tuples with t-cores.

Author

Chern, Shane

Subjects
*MATHEMATICAL formulas, *NUMBER theory, *MATHEMATICAL forms, *GEOMETRIC congruences, *SET theory, *IDENTITIES (Mathematics)
Abstract

Let A t , k ( n ) denote the number of partition k -tuples of n where each partition is t -core. In this paper, we establish formulas of A t , k ( n ) for some values of t and k by employing the method of modular forms, which extends Wang's result for t = 3 and k = 2 , 3 . [ABSTRACT FROM AUTHOR]

Published
2016
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2. Connectedness of a class of planar self-affine tiles

Author

Deng, Qi-Rong and Lau, Ka-sing

Subjects
*SET theory, *MATRICES (Mathematics), *MATHEMATICAL forms, *NUMBER theory, *TRIANGULARIZATION (Mathematics), *MATHEMATICAL analysis
Abstract

Abstract: We consider a class of planar self-affine tiles T that are generated by the lower triangular expanding matrices and the product-form digit sets. We give necessary and sufficient conditions for T to be connected and disk-like. Also for the disconnect case, we give a condition that enumerates the number of connected components of T. [Copyright &y& Elsevier]

Published
2011
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