Well-poised hypergeometric data at λ=-1 yield degree-four Galois representations that are automorphic, with traces equal to products of Fourier coefficients of two explicit modular forms.
Hodge numbers of hypergeometric data
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In this paper, based on the toric hypergeometric model given in a paper by Beukers--Cohen--Mellit, we provide two other ways to explain why the zig-zag diagram method can be used to compute Hodge numbers for hypergeometric data defined over $\mathbb Q$.
fields
math.NT 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
The Explicit Hypergeometric-Modularity Method II
Well-poised hypergeometric data at λ=-1 yield degree-four Galois representations that are automorphic, with traces equal to products of Fourier coefficients of two explicit modular forms.