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Acknowledgment. The authors gratefully acknowledge correspondence from Armand Borel to whom Theorems 2.10 through 2.12 are due. Both authors are supported by grants from NSF
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Hofmann, K.H., Mukherjea, A. On the density of the image of the exponential function. Math. Ann. 234, 263–273 (1978). https://doi.org/10.1007/BF01420648
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DOI: https://doi.org/10.1007/BF01420648