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math.NT2026
Integrality of Averages of Roots of Unity and Perfect Isometries
Chatchawan Panraksa, Pornrat Ruengrot
We establish a criterion for the integrality of averages of roots of unity and apply it to settle a conjecture regarding the linearity of functions on . Specifically,…
math.NT2012★ 1 cited
Iterated period integrals and multiple Hecke -functions
YoungJu Choie, Kentaro Ihara
In this paper we express the multiple Hecke -function in terms of a linear combination of iterated period integrals associated with elliptic cusp forms, which is introduced by M…