Open Conjectures on Congruences
Number Theory
2015-03-13 v9 Combinatorics
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 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.
Cite
@article{arxiv.0911.5665,
title = {Open Conjectures on Congruences},
author = {Zhi-Wei Sun},
journal= {arXiv preprint arXiv:0911.5665},
year = {2015}
}
Comments
88 pages. For new additions, see Conj. A76-85