Results 11 to 20 of about 42 (42)

On congruence properties of the partition function

International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 7, Page 493-496, 2000., 2000
Some congruence properties of the partition function are proved.
Jayce Getz
wiley   +1 more source

On partitions with difference conditions

International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 8, Page 519-527, 2000., 2000
We present two general theorems having interesting special cases. From one of them we give a new proof for theorems of Gordon using a bijection and from another we have a new combinatorial interpretation associated with a theorem of Göllnitz.
José Plínio, O. Santos, Paulo Mondek
wiley   +1 more source

q‐series, elliptic curves, and odd values of the partition function

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 55-65, 1999., 1999
Let p(n) be the number of partitions of an integer n. Euler proved the following recurrence for p(n): where ω(k) = (3k 2 + k)/2. In view of Euler′s result, one sees that it is fairly easy to compute p(n) very quickly. However, many questions remain open even regarding the parity of p(n).
Nicholas Eriksson
wiley   +1 more source

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
wiley   +1 more source

Congruences involving generalized Frobenius partitions

, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 413-415, 1993.
James Sellers
wiley   +1 more source

Ramanujan's Theta Functions and Parity of Parts and Cranks of Partitions. [PDF]

Ann Comb, 2023
Banerjee K, Dastidar MG.
europepmc   +1 more source

On sums of coefficients of polynomials related to the Borwein conjectures. [PDF]

Ramanujan J, 2022
Goswami A, Pantangi VRT.
europepmc   +1 more source

A single-variable proof of the omega SPT congruence family over powers of 5. [PDF]

Ramanujan J, 2023
Smoot NA.
europepmc   +1 more source

The Cause of Lead Poisoning in the Tinning of Metals. [PDF]

J Hyg (Lond), 1908
Duckering GE.
europepmc   +1 more source

Explaining unforeseen congruence relationships between PEND and POND partitions via an Atkin-Lehner involution. [PDF]

Ramanujan J
Sellers JA, Smoot NA.
europepmc   +1 more source