Adelic Rogers integral formula

Abstract

We formulate and prove the extension of the Rogers integral formula 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.

References in corpus (3)

• Effective density for inhomogeneous quadratic forms I: generic forms and fixed shifts
• On the value distribution of the Epstein zeta function in the critical strip
• On the location of the zero-free half-plane of a random Epstein zeta function