Hirzebruch sums and Hecke operators

DOI10.1016/0022-314X(91)90082-MzbMath0734.11030OpenAlexW2017416212MaRDI QIDQ810566

Hongwen Lu

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0022-314x(91)90082-m

zbMATH Keywords

class numberDedekind sumseigenfunctioncontinued fractionHecke operatorsDedekind \(\eta\)-functionirrational numbersidentityHirzebruch sum

Mathematics Subject Classification ID

Quadratic extensions (11R11) Continued fractions (11A55) Class numbers, class groups, discriminants (11R29) Dedekind eta function, Dedekind sums (11F20) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items

Fourier-Eisenstein transform and plancherel formula for rational binary quadratic forms ⋮ Congruences relating class numbers of quadratic orders and Zagier's sums

Cites Work

• Hecke operators and an identity for the Dedekind sums
• The class-number of real quadratic number fields
• On a Pellian equation conjecture
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