Peter Paule, Silviu Radu,
"The Andrews-Sellers Family of Partition Congruences"
, in Advances in Mathematics, Vol. 230, Nummer 3, Seite(n) 819-838, 2012, ISSN: 0001-8708
Original Titel:
The Andrews-Sellers Family of Partition Congruences
Sprache des Titels:
Englisch
Original Kurzfassung:
In 1994, James Sellers conjectured an infinite family of Ramanujan type congruences for 2-colored Frobenius partitions introduced by George E. Andrews. These congruences arise modulo powers of 5. In 2002 Dennis Eichhorn and Sellers were able to settle the conjecture for powers up to 4. In this article, we prove Sellers? conjecture for all powers of 5. In addition, we discuss why the Andrews?Sellers family is significantly different from classical congruences modulo powers of primes.
Forschungs-