4 problems

Eventual p-adic periodicity conjecture for generalized j-Euler numbers
Eventual p-adic periodicity conjecture. The numbers $\mathcal{E}_{mpn}^{(mp,j)}$ are $p$ -adic integers, and for every positive integer $r$ there is a positive integer $n_0$ such th…
openFrom papersgeneralized-euler-numbers p-adic-congruences
0 responses
7
Kalinin's polynomial congruence conjecture for Gaussian integers
Kalinin's conjecture. If $p\equiv1\pmod 4$ , then
openFrom papersfinite-fields p-adic-congruences quadratic-fields
0 responses
9
Modulo- $p^3$ conjecture for products of truncated hypergeometric series
Product supercongruence conjecture. For primes $p\geq 5$ ,
openFrom paperselliptic-curves p-adic-congruences supercongruences
0 responses
4
A 5-adic congruence for a weight-1 noncongruence modular form
The 5-adic congruence conjecture. For $p=5$ , $m\geq1$ , and odd $n\geq1$ , one has $c_{5^m}(f)\neq0$ and
openFrom papersmodular-forms noncongruence-modular-forms p-adic-congruences
0 responses
4

Eventual p-adic periodicity conjecture for generalized j-Euler numbers