Criteria for Generalized Kummer's Congruences.
L. Carlitz, Harlan Stevens (1961)
Journal für die reine und angewandte Mathematik
Similarity:
Displaying similar documents to “Partial fraction decompositions and Kummer congruences for the normalized coefficients of the Laurent expansion of elliptic functions parametrizing a nonsingular cubic curve in Hessian normal form.”
Criteria for Generalized Kummer's Congruences.
Congruences for the coefficients of quotients of Eisenstein series
Bruce C. Berndt, Ae Ja Yee (2002)
Acta Arithmetica
Similarity:
Classification of smooth congruences of low degree.
Enrique Arrondo, Igancio Sols (1989)
Journal für die reine und angewandte Mathematik
Similarity:
The structure of closure congruences
Stanley Burris (1971)
Colloquium Mathematicae
Similarity:
On the non-existence of simple congruences for quotients of Eisenstein series
Michael Dewar (2010)
Acta Arithmetica
Similarity:
Functoriality and number of solutions of congruences
Henry H. Kim (2007)
Acta Arithmetica
Similarity:
Congruences for Ramanujan's ϕ function
Song Heng Chan (2012)
Acta Arithmetica
Similarity:
Partitions and congruences in algebras. III. Commutativity of congruences
Tran Duc Mai (1974)
Archivum Mathematicum
Similarity:
On Isotropic Congruences in Elliptic Space.
Radu Rosca (1968)
Mathematische Zeitschrift
Similarity:
Some congruences for binomial coefficients
Tsuneo Ishikawa (2006)
Acta Arithmetica
Similarity:
An analog of crank for a certain kind of partition function arising from the cubic continued fraction
Byungchan Kim (2011)
Acta Arithmetica
Similarity:
Some congruences for 3-component multipartitions
Tao Yan Zhao, Lily J. Jin, C. Gu (2016)
Open Mathematics
Similarity:
Let p3(n) denote the number of 3-component multipartitions of n. Recently, using a 3-dissection formula for the generating function of p3(n), Baruah and Ojah proved that for n ≥ 0, p3(9n + 5) ≡ 0 (mod 33) and p3 (9n + 8) ≡ 0 (mod 34). In this paper, we prove several congruences modulo powers of 3 for p3(n) by using some theta function identities. For example, we prove that for n ≥ 0, p3 (243n + 233) ≡ p3 (729n + 638) ≡ 0 (mod 310).
Some q-analogs of congruences for central binomial sums
Roberto Tauraso (2013)
Colloquium Mathematicae
Similarity:
We establish q-analogs for four congruences involving central binomial coefficients. The q-identities necessary for this purpose are shown via the q-WZ method.