\(\boldsymbol{U_p}\)-operators and congruences for Shimura images

DOI10.1016/j.jnt.2020.08.006zbMath1506.11060OpenAlexW3086504183MaRDI QIDQ2212653

Matthew Boylan

Publication date: 24 November 2020

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.08.006

zbMATH Keywords

congruencesDedekind eta-functionShimura correspondenceprime powers

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• Hecke operators on \(\Gamma_0(m)\)
• On modular forms of half integral weight
• Extension of Ramanujan's congruences for the partition function modulo powers of 5
• The image and kernel of Atkin’s 𝑈_{𝑝} operator modulo 𝑝
• A REFINEMENT OF RAMANUJAN'S CONGRUENCES MODULO POWERS OF 7 AND 11
• Modular forms of half-integral weights on SL(2, ℤ)
• Modular Forms: Basics and Beyond
• Congruences of the Partition Function
• Hecke operators on certain subspaces of integral weight modular forms
• CONGRUENCES FOR ANDREWS' SMALLEST PARTS PARTITION FUNCTION AND NEW CONGRUENCES FOR DYSON'S RANK