Open Access
June 2023 Hecke L-functions of certain subextensions in an extraspecial extension
Yuta Katayama
Author Affiliations +
SUT J. Math. 59(1): 1-10 (June 2023). DOI: 10.55937/sut/1685448649


In 1925, Hecke found two different quadratic fields having the same L-functions attached to certain ray class groups. In this paper, we show that if K/ is a Galois extension whose Galois group is isoclinic to an extraspecial group, then there are many elementary abelian extensions inside K whose L-functions coincide.


The author would like to express his gratitude to M. Kida for helpful advices and useful comments.


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Yuta Katayama. "Hecke L-functions of certain subextensions in an extraspecial extension." SUT J. Math. 59 (1) 1 - 10, June 2023.


Received: 30 November 2022; Published: June 2023
First available in Project Euclid: 19 July 2023

zbMATH: 07733546
Digital Object Identifier: 10.55937/sut/1685448649

Primary: 11R20 , 11R32 , 11R42

Keywords: Artin L-function , elementary abelian p-extensions , extraspecial p-group , Hecke L-functions , isoclinism

Rights: Copyright © 2023 Tokyo University of Science

Vol.59 • No. 1 • June 2023
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