ON THE MODULARITY OF SOLUTIONS TO CERTAIN DIFFERENTIAL EQUATIONS OF HYPERGEOMETRIC TYPE
نویسندگان
چکیده
Abstract We answer some questions in a paper by Kaneko and Koike [‘On modular forms arising from differential equation of hypergeometric type’, Ramanujan J. 7 (1–3) (2003), 145–164] about the modularity solutions certain equation. In particular, we provide number-theoretic explanation why occurs cases does not occur others. This also proves their conjecture on completeness list after adding missing cases.
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ژورنال
عنوان ژورنال: Bulletin of The Australian Mathematical Society
سال: 2021
ISSN: ['0004-9727', '1755-1633']
DOI: https://doi.org/10.1017/s0004972721000721