@MISC{Sun10openconjectures, author = {Zhi-wei Sun}, title = { OPEN CONJECTURES ON CONGRUENCES}, year = {2010} }
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Abstract
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 50 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.