Tempered perfect lattices in the binary case

DOI10.1016/J.JNT.2024.02.009MaRDI QIDQ6495507

Mark McConnell, Erik Bahnson, Kyrie McIntosh

Publication date: 30 April 2024

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

zbMATH Keywords

quadratic formsclass groupHecke operatorscohomology of arithmetic groups

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Hecke-Petersson operators, differential operators (one variable) (11F25) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) General binary quadratic forms (11E16) Cohomology of arithmetic groups (11F75)

Cites Work

• Small-dimensional classifying spaces for arithmetic subgroups of general linear groups
• The modular symbol and continued fractions in higher dimensions
• A classical invitation of algebraic numbers and class fields. With two appendices by Olga Taussky: ``Artin's 1932 Göttingen lectures on class field theory and ``Connections between algebraic number theory and integral matrices.
• On the Cohomology of Congruence Subgroups of GL₃ over the Eisenstein Integers
• Computing Heeke Eigenvalues Below the Cohomologieal Dimension
• ON THE GROWTH OF TORSION IN THE COHOMOLOGY OF ARITHMETIC GROUPS
• PARABOLIC POINTS AND ZETA-FUNCTIONS OF MODULAR CURVES
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