Open Conjectures on Congruences
By Zhi-Wei Sun. 2009
100 citations recorded by the source corpus.
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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Citations in the corpus
- Congruences for central binomial sums and finite polylogarithms (2010, result): “n to a comparison with the corresponding infinite sums. As we explain in our Section 7, our results include a few congruences first obtained in [16], but also confirm several conjectures of Z. W. Sun in [13]. 2. General congruences for £ d(x) In this section we collect some functional equations modulo ”