30 citations · 65 across the 19 of their papers we have counts for
20 papers
Galois representations and modularity for twisted moments of Kloosterman sums
Zi Li Lim, Fang-Ting Tu, Jeng-Daw Yu
Associated with the classical Kloosterman sums, we consider the quadratic twisted symmetric power moments. We investigate the cohomological properties and construct the motives ove…
The Explicit Hypergeometric Modularity Method III
Brian Grove, Ling Long, Esme Rosen +1
We refine the Explicit Hypergeometric Modularity Method (EHMM) and develop a variant that applies to a broader class of hypergeometric data. As an application, we establish the mod…
Special -values of certain CM weight three Hecke eigenforms
Paresh Arora, Koustav Mondal, Akio Nakagawa +1
Ramanujan's theory of elliptic functions to alternative bases connects modular forms with hypergeometric series and has led to applications such as the modularity of certain hyperg…
Jacquet-Langlands correspondence for non-Eichler orders
Fang-Ting Tu, Yifan Yang
In this note, we give a concrete realization of the Jacquet-Langlands correspondence for non-Eichler orders of indefinite quaternion algebras defined over . To be more p…
The Explicit Hypergeometric-Modularity Method II
Michael Allen, Brian Grove, Ling Long +1
In the first paper of this sequence, we provided an explicit hypergeometric modularity method by combining different techniques from the classical, -adic, and finite field setti…
QM abelian varieties, hypergeometric character sums and modular forms
Jerome William Hoffman, Fang-Ting Tu
This is a report on recent work, with Wen-Ching Winnie Li and Ling Long. In that work explicit formulas are given, involving hypergeometric character sums, for the traces of Hecke…