Abstract Views :161 |
PDF Views:0
Authors
Affiliations
1 Penn State Univ., 25 Yearsley Mill Rd, Media, PA 19063, US
2 3804 Kelsey St., Silver Spring, MD 20906, US
3 Univ. of Maryland, College Park, MD 20742, US
Source
Journal of the Ramanujan Mathematical Society, Vol 16, No 1 (2001), Pagination: 19-37
Abstract
Let p and q be two odd prime numbers such that q ≡ 1 (mod p) and q is the norm in ℚ(ℂp)/ℚ of some element α in ℤ[ℂp], where ζp is a primitive p-th ischolar_main of unity. Many authors have given criteria for a rational prime r ≠ p, q to be a p -th power residue modulo q. We give a unified approach to such results and obtain criteria in terms of α. These are applied to some simple cases.
AMS (2000) Subject Classification. 11A15, 11R18.