Criteria for Generalized Kummer's Congruences.
L. Carlitz, Harlan Stevens (1961)
Journal für die reine und angewandte Mathematik
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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.
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Bruce C. Berndt, Ae Ja Yee (2002)
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Enrique Arrondo, Igancio Sols (1989)
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Radu Rosca (1968)
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Some congruences for 3-component multipartitions
Tao Yan Zhao, Lily J. Jin, C. Gu (2016)
Open Mathematics
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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
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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.