Abstract
We prove some results of restricted sums of four squares using arithmetic of quaternions in the ring of Lipschitz integers. In particular, we show that every nonnegative integer can be written as , where , , , are integers and is a power of 2.
Citation
Yue-Feng She. Guang-Liang Zhou. "NUMBERS REPRESENTED BY RESTRICTED SUMS OF FOUR SQUARES." Rocky Mountain J. Math. 54 (4) 1141 - 1147, August 2024. https://doi.org/10.1216/rmj.2024.54.1141
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