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Unsolved problems in number theory

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Abstract

68 unsolved problems and conjectures in number theory are presented and brie y discussed. The topics covered are: additive representation functions, the Erdős-Fuchs theorem, multiplicative problems (involving general sequences), additive and multiplicative Sidon sets, hybrid problems (i.e., problems involving both special and general sequences), arithmetic functions, the greatest prime factor func- tion and mixed problems.

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Sárközy, A. Unsolved problems in number theory. Periodica Mathematica Hungarica 42, 17–35 (2001). https://doi.org/10.1023/A:1015236305093

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