2 papers
math.NT2026
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…
math.NT2025
Symmetry of hypergeometric functions over finite fields and geometric interpretation
Akio Nakagawa
We begin by defining general hypergeometric functions over finite fields and obtaining a finite field analogue of a classical symmetry in their complex counterparts. We give a geom…