Dimension Formulae for Spaces of Lifted Bianchi Modular Forms
Mehmet Haluk Sengun, Panagiotis Tsaknias
TL;DR
This paper calculates the dimensions of specific subspaces within Bianchi modular forms, focusing on base-change forms and their twists, with fixed level and weight, contributing to the understanding of their structure.
Contribution
It provides explicit dimension formulae for subspaces of base-change Bianchi modular forms and their twists, enhancing the understanding of their structure and properties.
Findings
Dimension formulae for base-change subspaces derived
Explicit counts of twisted forms within Bianchi modular forms
Insights into the structure of Bianchi modular form spaces
Abstract
In this note, we work out the dimension of the subspace of base-change forms and their twists inside the space of Bianchi modular forms with fixed (Galois stable) level and weight.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models