Reflection theorems for number rings generalizing the Ohno-Nakagawa identity

Published: Nov 18, 2021
Abstract
The Ohno-Nakagawa (O-N) reflection theorem is an unexpectedly simple identity relating the number of \mathrm{GL}_2 \mathbb{Z}classes of binary cubic forms (equivalently, cubic rings) of two different discriminants D -27D it generalizes cubic reciprocity and the Scholz reflection theorem. In this paper, we present a new approach to this theorem using Fourier analysis on the adelic cohomology H^1(\mathbb{A}_K, M)of a finite Galois...
Paper Details
Title
Reflection theorems for number rings generalizing the Ohno-Nakagawa identity
Published Date
Nov 18, 2021
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