Adelic Rogers integral formula

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES（2024）

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摘要

We formulate and prove the extension of the Rogers integral formula (Rogers [Acta Math. 94 (1955), 249-287]) to the adeles of number fields. We also prove the second moment formulas for a few important cases, enabling a number of classical and recent applications of the formula to extend immediately to any number field.

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