Zhi-Hong Sun
Published 2011-03-28, updated 2013-02-06Version 5
Let $p$ be an odd prime. In the paper we collect the author's various conjectures on congruences modulo $p$ or $p^2$, which are concerned with sums of binomial coefficients, Lucas sequences, power residues and special binary quadratic forms.
Comments: Conjecture 4.46 is new
Conjectures and results on $x^2$ mod $p^2$ with $4p=x^2+dy^2$
Proof of some conjectures of Z.-W. Sun on the divisibility of certain double-sums
Congruences for sums involving $\binom{rk}{k}$
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