Rankin-Cohen brackets and Serre derivatives as Poincaré series

DOI10.1007/s40993-018-0130-1zbMath1444.11061arXiv1801.01906OpenAlexW3103269624MaRDI QIDQ2316278

Brandon Williams

Publication date: 26 July 2019

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

Full work available at URL: https://arxiv.org/abs/1801.01906

zbMATH Keywords

Rankin-Cohen bracketsRamanujan tau functionSerre derivatives

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (2)

Rankin–Cohen brackets of Jacobi forms and Jacobi Poincaré series ⋮ On the adjoint of higher order Serre derivatives

Cites Work

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• Kernels for products of \(L\)-functions
• The adjoint map of the Serre derivative and special values of shifted Dirichlet series
• Cusp forms and special values of certain Dirichlet series
• Modular forms and differential operators
• Poincaré square series for the Weil representation
• The adjoint of some linear maps constructed with the Rankin-Cohen brackets
• Elliptic Modular Forms and Their Applications
• Non-Ordinary Primes: A Story

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