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A method for determining the mod-$2^k$ behaviour of recursive sequences, with applications to subgroup counting
Polynomial recurrences symbolic summation subgroup numbers free subgroup numbers Catalan numbers
2011/9/1
Abstract: We present a method to obtain congruences modulo powers of 2 for sequences given by recurrences of finite depth with polynomial coefficients. We apply this method to Catalan numbers, Fu\ss-C...
Applications of density matrix in the fractional quantum mechanics
Applications of density matrix fractional quantum mechanics
2011/2/25
The many-body space fractional quantum system is studied using the density matrix method. We give the new results of the Thomas-Fermi model, and obtain the quantum pressure of the free electron gas. W...