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Open Conjectures on Congruences

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arxiv 0911.5665 v59 pith:X6B2NFQS submitted 2009-11-30 math.NT math.CO

Zhi-Wei Sun This is my paper · ORCID
classification math.NTmath.CO
keywords conjecturesauthorcongruencesnumberopenpartsometheorists
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We collect here various conjectures on congruences made by the author in a series of papers, some of which involve binary quadratic forms and other advanced theories. Part A consists of 100 unsolved conjectures of the author while conjectures in Part B have been recently confirmed. We hope that this material will interest number theorists and stimulate further research. Number theorists are welcome to work on those open conjectures; for some of them we offer prizes for the first correct proofs.

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