Dimension Formulae for Spaces of Lifted Bianchi Modular Forms

2013/10/21 by Mehmet Haluk Şengün, Sengun, Mehmet Haluk, Panagiotis Tsaknias +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1310.5385

openalex publication_date 2013/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Dimensions of spaces of modular forms
• Dimension formulas of modular form spaces with character for Fricke groups
• Genuine Bianchi modular forms of higher level, at varying weight and discriminant
• The dimension of vector-valued modular forms of integer weight
• Sharp bounds for multiplicities of Bianchi modular forms