Using Dwork's theory, Delaygue, Rivoal and Roques prove a broad generalization of his famous p-adic formal congruences
In this section, we establish several infinite families of congruences
modulo powers of 2 and 3.
Chan, "Ramanujan's cubic continued fraction and Ramanujan type congruences
for a certain partition function," International Journal of Number Theory, vol.
However, the use of congruences
plays a significant role in reducing the effort (Andersen and Jenkins, 2013).
Furthermore operations on two good congruences
give good congruences
I thus assume that overall congruence
is a linear combination of issue specific congruences
and that the factor loadings for each issue are the coefficients of this linear combination.
Recently, the author found some congruences
of the coefficients A(n) of the Mathieu mock theta function and we conjectured as follows:
n-1]) the last three congruences
of (4) hold and we get case III) of Proposition 4.
Here we describe the congruences
associated to completely exceptional Monge-Ampere equations for all N [greater than or equal to] 5.
If A is an ideal of KU-algebra G, then the relation ~ is a congruence
392), the statement that "partition congruences
exist for every prime number" should have read, ".
It's just one of those minor congruences
of phenomena that occur,'' Krupp said.
The author covers the division algorithm, the concept of congruence
, quadratic residues, and many other related subjects.
The proposed technique endeavored to keep the elucidation consistently a little low to give advantage in finding the solution of congruences
by means of explicit iteration techniques which proved quite fast in finding these solutions.
Recently, q-analogs of classical congruences
have been studied by several authors including (Cla95), (And99), (SP07), (Pan07), (CP08), (Dil08).