Abstract
For prime power , let denote the minimal such that for any integers coprime to the congruence
has a primitive solution ( for some ), and the minimal such that there is always a solution with for all , . We obtain a number of estimates for these two quantities when the group of -th powers mod has at least two elements, including, , if is composite, for some absolute constant , where , and for .
Citation
Todd Cochrane. Misty Ostergaard. Craig Spencer. "Homogeneous additive congruences." Rocky Mountain J. Math. 52 (4) 1295 - 1317, August 2022. https://doi.org/10.1216/rmj.2022.52.1295
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