Path integrals and p$p$‐adic L$L$‐functions

Author:

Carlson Magnus1,Chung Hee‐Joong2,Kim Dohyeong3ORCID,Kim Minhyong45,Park Jeehoon6,Yoo Hwajong7

Affiliation:

1. Institut für Mathematik Goethe–Universität Frankfurt Frankfurt am Main Germany

2. Department of Science Education Jeju National University Jeju‐si Jeju‐do South Korea

3. Department of Mathematical Sciences and Research Institute of Mathematics Seoul National University Gwanak‐gu Seoul South Korea

4. International Centre for Mathematical Sciences Edinburgh UK

5. Korea Institute for Advanced Study Dongdaemungu Seoul South Korea

6. Center for Quantum Structures in Modules and Spaces Seoul National University Gwanak‐gu Seoul South Korea

7. College of Liberal Studies and Research Institute of Mathematics Seoul National University Gwanak‐gu Seoul South Korea

Abstract

AbstractWe prove an arithmetic ‘path integral’ formula for the inverse ‐adic absolute values of Kubota–Leopoldt ‐adic ‐functions at roots of unity.

Funder

Knut och Alice Wallenbergs Stiftelse

National Research Foundation of Korea

Samsung Science and Technology Foundation

Isaac Newton Institute for Mathematical Sciences

Jeju National University

Deutsche Forschungsgemeinschaft

Publisher

Wiley

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