An upper bound on the least prime for certain modular congruences

DOI10.4064/aa230713-25-5MaRDI QIDQ6653253

Rishabh Agnihotri

Publication date: 16 December 2024

Published in: Acta Arithmetica (Search for Journal in Brave)

zbMATH Keywords

modular formGalois representationChebotarev's density theorem

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80)

Cites Work

• Dimensions of the spaces of cusp forms and newforms on \(\Gamma_0(N)\) and \(\Gamma_1(N)\)
• A bound for the least prime ideal in the Chebotarev density theorem
• Refined dimensions of cusp forms, and equidistribution and bias of signs
• On modular forms of half integral weight
• Modular forms of half-integral weights on SL(2, ℤ)
• The effective Chebotarev density theorem and modular forms modulo $\mathfrak m$
• Congruences like Atkin’s for the partition function

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