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Analysis of crack propagation path on the anisotropic bi-material rock.

Chen, Chao-Shi; Tu, Chia-Huei; Yang, Chen-Cheng — 2010

Mathematical Problems in Engineering

On the average of the sum-of-a-divisors function

Shi-Chao Chen; Yong-Gao Chen — 2004

Colloquium Mathematicae

We prove an Ω result on the average of the sum of the divisors of n which are relatively coprime to any given integer a. This generalizes the earlier result for a prime proved by Adhikari, Coppola and Mukhopadhyay.

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