ON SETS SUCH THAT THE PARTITION FUNCTION IS EVEN FROM A CERTAIN POINT ON

DOI10.1142/S1793042109002195zbMath1214.11117MaRDI QIDQ5324324

N. Baccar, Fethi Ben Saïd

Publication date: 3 August 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

partitionscyclotomic polynomialsperiodic sequences2-adic integersorder of a polynomial

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Partitions; congruences and congruential restrictions (11P83) Sequences (mod (m)) (11B50) (p)-adic and power series fields (11D88)

Related Items (5)

On the parity of generalized partition functions. III ⋮ Even partition functions and $2$-adic analysis ⋮ On the elements of sets with even partition function ⋮ Sets with even partition functions and 2-adic integers ⋮ SETS WITH EVEN PARTITION FUNCTIONS AND CYCLOTOMIC NUMBERS

Cites Work

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• On the divisor function of sets with even partition functions
• On the parity of additive representation functions
• Partitions functions with periodic parity
• Ordering the set of antichains of an ordered set
• On the counting function of the sets of parts \(\mathcal A\) such that the partition function \(p(\mathcal {A},n)\) takes even values for \(n\) large enough
• On some sets with even valued partition function
• Sets of parts such that the partition function is even
• Sur une application de la formule de Selberg–Delange
• Elementary Methods in Number Theory
• A search for Wieferich and Wilson primes
• On the parity of generalized partition functions. II

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