Sommes de Dedekind associ\'ees \`a un corps de nombres totalement r\'eel
classification
🧮 math.NT
keywords
dedekindnumbertheyassociattachedclassconcludeconjecture
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We define Dedekind sums attached to a totally real number field of class number one. We prove that they satisfy some reciprocity law. Then we relate them to special values of Hecke $L$-functions. We conclude that they are ruled by Stark's conjecture.
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