Abstract
We show that the rational functions associated with the lemniscate functions and primary numbers of Gaussian integers, defined by Eisenstein, has a symmetrical relation with respect to the zeros and the poles. We also consider some polynomials associated with the trigonometric functions and odd integers, and point out a similar symmetry of the polynomials.
Citation
Takuma Ogawa. "Similarities between the trigonometric function and the lemniscate function from arithmetic view point." Tsukuba J. Math. 29 (1) 65 - 77, June 2005. https://doi.org/10.21099/tkbjm/1496164894
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