On some automorphic properties of Galois traces of class invariants from generalized Weber functions of level 5
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DOI: 10.1515/math-2019-0115
Abstract: Abstract After the significant work of Zagier on the traces of singular moduli, Jeon, Kang and Kim showed that the Galois traces of real-valued class invariants given in terms of the singular values of the… read more here.
Keywords: weber functions; galois traces; functions level; class invariants ... See more keywords
A Continued Fraction of Ramanujan and Some Ramanujan-Weber Class Invariants
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DOI: 10.2298/fil1713975a
Abstract: On Page 36 of his ``lost" notebook, Ramanujan recorded four $q$-series representations of the famous Rogers-Ramanujan continued fraction. In this paper, we establish two $q$-series representations of Ramanujan's continued fraction found in his ``lost" notebook.… read more here.
Keywords: weber class; class invariants; continued fraction; ramanujan weber ... See more keywords