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- W4280506265 abstract "Suppose that OL is the ring of integers of a number field L, and suppose thatf(z)=∑n=1∞af(n)qn∈Sk(Γ0(N)+)∩OL[[q]] is a normalized Hecke eigenform for Γ0(N)+. We say that f is non-ordinary at p if there is a prime ideal p⊂OL above p for which af(p)≡0(modp). In the authors' previous paper with Ken Ono [10] it was proved that there are infinitely many Hecke eigenforms for SL2(Z) such that are non-ordinary at any given finite set of primes. In this paper, we extend this result to some genus 0 subgroups of SL2(R), namely, the normalizers Γ0(N)+ of the congruence subgroups Γ0(N). Our result also generalizes some of Choi and Kim's result in [2]." @default.
- W4280506265 created "2022-05-22" @default.
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- W4280506265 date "2022-12-01" @default.
- W4280506265 modified "2023-10-17" @default.
- W4280506265 title "A note on non-ordinary primes for some genus-zero arithmetic groups" @default.
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- W4280506265 doi "https://doi.org/10.1016/j.jnt.2022.04.003" @default.
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