Congruences for dimensions of spaces of Siegel cusp forms and 4-core partitions

Using the relationship between Siegel cusp forms of degree 2 and cuspidal automorphic representations of GSp ( 4 , A Q ) , we derive some congruences involving dimensions of spaces of Siegel cusp forms of degree 2 and the class number of Q ( - p ) . We also obtain some congruences between the 4-core...

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Bibliographic Details
Published inThe Ramanujan journal Vol. 58; no. 4; pp. 1011 - 1023
Main Authors Ray, Chiranjit, Roy, Manami, Yi, Shaoyun
Format Journal Article
LanguageEnglish
Published New York Springer US 01.08.2022
Springer Nature B.V
Subjects
Combinatorics
Congruences
Cusps
Field Theory and Polynomials
Fourier Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
Number Theory
Partitions (mathematics)
4-Core partition
11P83
Primary: 11F46
Siegel cusp forms
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Summary:Using the relationship between Siegel cusp forms of degree 2 and cuspidal automorphic representations of GSp ( 4 , A Q ) , we derive some congruences involving dimensions of spaces of Siegel cusp forms of degree 2 and the class number of Q ( - p ) . We also obtain some congruences between the 4-core partition function c 4 ( n ) and dimensions of spaces of Siegel cusp forms of degree 2.
ISSN:1382-4090
1572-9303
DOI:10.1007/s11139-021-00481-0