Multiplicative functions dictated by Artin symbols.Lemke Oliver, Robert J.
Granville and Soundararajan have recently suggested that a general study of multiplicative functions could form the basis of analytic number theory without zeros of L-functions; this is the so-called pretentious view of analytic number theory. Here we study multiplicative functions which arise from the arithmetic of number fields. For each finite Galois extension K/Q, we construct a natural class ... read more
- Number theory.
- Arithmetic functions.
- Tufts University. Department of Mathematics.
- Permanent URL
- Original publication
- Lemke Oliver, Robert J. "Multiplicative Functions Dictated by Artin Symbols." Acta Arithmetica 161, no. 1 (2013): 21-31. doi:10.4064/aa161-1-2.