School of Mathematical and Statistical Sciences Faculty Publications and Presentations

Document Type

Article

Publication Date

11-4-2024

Abstract

Let p and q be two distinct odd primes. Let K be an imaginary quadratic field over which p and q are both split. Let Ψ be a Hecke character over K of infinity type (k, j) with 0 ≤ − j < k. Under certain technical hypotheses, we show that for a Zariski dense set of finite-order characters κ over K which factor through the Z2q -extension of K, the p-adic valuation of the algebraic part of the L-value L(κΨ¯¯¯¯¯¯¯,k+j) is a constant independent of κ. In addition, when j = 0 and certain technical hypothesis holds, this constant is zero.

Comments

Original published version available at https://doi.org/10.1007/s11856-024-2688-8

Publication Title

Israel Journal of Mathematics

DOI

https://doi.org/10.1007/s11856-024-2688-8

Included in

Mathematics Commons

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