POWERS OF THE ETA-FUNCTION AND HECKE OPERATORS

DOI10.1142/S1793042112500339zbMath1282.11037MaRDI QIDQ2880325

Sarah Pitman, Alexander Carney, Anastassia Etropolski

Publication date: 13 April 2012

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

zbMATH Keywords

Dedekind's eta-functionFaber polynomialsHecke operators

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Dedekind eta function, Dedekind sums (11F20) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (4)

On the best linear approximation of holomorphic functions ⋮ Double coset operators and eta-quotients ⋮ IIB flux non-commutativity and the global structure of field theories ⋮ Congruences in fractional partition functions

Cites Work

• Unnamed Item
• The partition function and Hecke operators
• Distribution of the partition function modulo \(m\)
• The arithmetic of the values of modular functions and the divisors of modular forms

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