Abstract
The classical theorem of Bombieri and Vinogradov is generalized to a non-abelian, non-Galois setting. This leads to a prime number theorem of "mixed-type" for arithmetic progressions "twisted" by splitting conditions in number fields. One can view this as an extension of earlier work of M. R. Murty and V. K. Murty on a variant of the Bombieri-Vinogradov theorem. We develop this theory with a view to applications in the study of the Euclidean algorithm in number fields and arithmetic orbifolds.
Original language | English (US) |
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Pages (from-to) | 4987-5032 |
Number of pages | 46 |
Journal | Transactions of the American Mathematical Society |
Volume | 365 |
Issue number | 9 |
DOIs | |
State | Published - 2013 |
Externally published | Yes |