On the number of even values of an eta-quotient

DOI10.1142/s1793042123501105arXiv2210.09451OpenAlexW4379982972MaRDI QIDQ6050865

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Publication date: 19 September 2023

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

Full work available at URL: https://arxiv.org/abs/2210.09451

zbMATH Keywords

partition functionmodular formeta-quotientbinary \(q\)-seriesparity of the partition function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Congruences for modular and (p)-adic modular forms (11F33) Analytic theory of partitions (11P82)

Cites Work

• Unnamed Item
• Parity of the coefficients of modular forms
• The nilpotence order of the mod 2 Hecke operators
• Lacunary eta-quotients modulo powers of primes
• Divisibilite de certaines fonctions arithmétiques
• On the parity of additive representation functions
• On the density of the odd values of the partition function. II: An infinite conjectural framework
• On the density of the odd values of the partition function
• On the parity of partition functions
• Nonzero coefficients of half-integral weight modular forms mod \(\ell \)
• Parity of the coefficients of certain eta-quotients
• A proof of Subbarao's conjecture
• Computing the integer partition function
• Parity of the partition function in arithmetic progressions.
• On the Distribution of Parity in the Partition Function

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