Congruence relations for \(r\)-colored partitions

DOI10.1016/j.jnt.2022.11.011OpenAlexW4321793896MaRDI QIDQ2700686

Robert Dicks

Publication date: 27 April 2023

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

Full work available at URL: https://arxiv.org/abs/2206.05449

zbMATH Keywords

Galois representationscongruences for modular forms

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11) Galois representations (11F80)

Related Items (1)

Theta-type congruences for colored partitions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• On \(\ell\)-adic representations attached to modular forms
• Divisibilite de certaines fonctions arithmétiques
• Arithmetic properties of the partition function
• The weight in Serre's conjectures on modular forms
• Distribution of the partition function modulo \(m\)
• On modular forms of half integral weight
• Modular forms of half-integral weights on SL(2, ℤ)
• Congruences Between Systems of Eigenvalues of Modular Forms
• Ramanujan congruences for p_-k (mod 11')
• on l-adic representations attached to modular forms II
• Multiplicative Congruence Properties and Density Problems for p(n)
• Exceptional congruences for powers of the partition function
• CONGRUENCES FOR THE COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS
• Ramanujan Congruences for p_-k(n)
• Congruences like Atkin’s for the partition function

This page was built for publication: Congruence relations for \(r\)-colored partitions