Values of modular functions at real quadratics and conjectures of Kaneko
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Annalen"
DOI: 10.1007/s00208-020-01979-6
Abstract: In 2008, Kaneko made several interesting observations about the values of the modular j invariant at real quadratic irrationalities. The values of modular functions at real quadratics are defined in terms of their cycle integrals… read more here.
Keywords: values modular; modular functions; real quadratics; conjectures kaneko ... See more keywords
Modular functions and resolvent problems
Sign Up to like & getrecommendations! Published in 2022 at "Mathematische Annalen"
DOI: 10.1007/s00208-022-02395-8
Abstract: The link between modular functions and algebraic functions was a driving force behind the 19th century study of both. Examples include the solutions by Hermite and Klein of the quintic via elliptic modular functions and… read more here.
Keywords: theory; modular functions; resolvent problems; functions resolvent ... See more keywords