Monotonicity of partition functions

DOI10.1112/S002557930000084XzbMath0074.03502OpenAlexW2021607647WikidataQ105673406 ScholiaQ105673406MaRDI QIDQ3238396

Paul T. Bateman, Paul Erdős

Publication date: 1956

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s002557930000084x

zbMATH Keywords

Number Theory

Mathematics Subject Classification ID

Analytic theory of partitions (11P82)

Related Items (21)

Asymptotic analogs of the Rogers-Ramanujan identities ⋮ An undecidable problem in finite combinatorics ⋮ A logical approach to asymptotic combinatorics I. First order properties ⋮ Squares: Additive questions and partitions ⋮ Elementary proofs in the theory of partitions ⋮ PARTITIONS INTO PRIME POWERS ⋮ On the number of partitions into primes ⋮ Kronecker products, characters, partitions, and the tensor square conjectures ⋮ New combinatorial interpretations for the partitions into odd parts greater than one ⋮ On the effective content of asymptotic verifications of Edgeworth's Conjecture ⋮ On summands of general partitions ⋮ A proof of a partition conjecture of Bateman and Erdős. ⋮ Partition identities. II: The results of Bateman and Erdős ⋮ A REMARK ON PRIME DIVISORS OF PARTITION FUNCTIONS ⋮ Asymptotic relations for partitions ⋮ Asymptotic results for partitions (II) and a conjecture of Bateman and Erdoes ⋮ Un problème d'équirépartition modulo 1 lié aux partitions ⋮ Limit Shapes via Bijections ⋮ On Petersson’s partition limit formula ⋮ Asymptotic Relations for Partitions ⋮ Eine Note zur Gleichverteilung additiv erzeugter Folgen. (A note on the uniform distribution of additively generated sequences.)

Cites Work

• On the expansion of the partition functions in a series
• A Tauberian theorem for partitions
• A General Asymptotic Formula for Partition Functions
• SOME ASYMPTOTIC FORMULAE IN THE THEORY OF PARTITIONS
• On a Problem of Partitions

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