Results 21 to 30 of about 50 (48)
q‐Analogue of a binomial coefficient congruence
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 1, Page 197-200, 1995., 1995 We establish a q‐analogue of the congruence where p is a prime and a and b are positive integers.
W. Edwin Clark
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Some consequences of an identity of B. Gordon [PDF]
, 2004 unavailable at this time... Mathematics Subject Classification (2000): 11P83 Key words: Partitions into distinct parts, self-conjugate partitions, quintuple product identity Quaestiones Mathematicae 26(2003), 327 ...
Robbins, Neville
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Congruences involving generalized Frobenius partitions
, 1992 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 413-415, 1993.
James Sellers
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AN IDENTITY OF RAMANUJAN, AND APPLICATIONS AMS Classification 11P83 [PDF]
, 2008 Dedicated to Dick Askey on the occasion of his 65th ...
Michael D. Hirschhorn
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Two congruences involving 4-cores [PDF]
, 1996 . The goal of this paper is to prove two new congruences involving 4-cores using elementary techniques; namely, if a4(n) denotes the number of 4-cores of n, then a4(9n+2) j 0 (mod 2) and a4(9n + 8) j 0 (mod 4).
Michael D. Hirschhorn, James A. Sellers
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© Hindawi Publishing Corp. CONGRUENCES IN ORDERED PAIRS OF PARTITIONS [PDF]
, 2003 Dyson defined the rank of a partition (as the first part minus the number of parts) whilst investigating certain congruences in the sequence p−1(n). The rank has been widely studied as have been other statistics, such as the crank.
Richard Lewis, Paul Hammond
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©Electronic Publishing House q-SERIES, ELLIPTIC CURVES, AND ODD VALUES OF THE PARTITION FUNCTION [PDF]
, 1997 . Let p(n) be the number of partitions of an integer n. Euler proved the following recurrence for p(n): p(n) = (−1) k+1 p n−ω(k) +p n−ω(−k) k=1 where ω(k) = 3k2 +k /2.
Nicholas Eriksson
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Computer-assisted construction of Ramanujan-Sato series for 1 over π. [PDF]
Ramanujan JHemmecke R, Paule P, Radu CS.
europepmc +1 more source
An extensive analysis of the parity of broken 3-diamond partitions.
J Number Theory, 2013 Radu S, Sellers JA.
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New infinite families of congruences for Andrews’ (K, I)-singular overpartitions [PDF]
Quaestiones Mathematicae, 2018 In a recent work, Andrews dened the singular overpartition functions, denoted by C̄k;i(n), which count the number of overpartitions of n in which no part is divisible by k and only parts ≡±i (mod k) may be overlined.
Olivia X M Yao
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