The Lind Lehmer constant for $\mathbb Z_p^n$
HTML articles powered by AMS MathViewer
- by Dilum DeSilva and Christopher Pinner PDF
- Proc. Amer. Math. Soc. 142 (2014), 1935-1941 Request permission
Abstract:
We determine the Lind Lehmer constant for groups of the form $\mathbb Z_p^n$.References
- J. Brillhart, J. Tonascia, and P. Weinberger, On the Fermat quotient, Computers in number theory (Proc. Sci. Res. Council Atlas Sympos. No. 2, Oxford, 1969) Academic Press, London, 1971, pp. 213–222. MR 0314736
- Norbert Kaiblinger, On the Lehmer constant of finite cyclic groups, Acta Arith. 142 (2010), no. 1, 79–84. MR 2601051, DOI 10.4064/aa142-1-7
- Norbert Kaiblinger, Progress on Olga Taussky-Todd’s circulant problem, Ramanujan J. 28 (2012), no. 1, 45–60. MR 2914452, DOI 10.1007/s11139-011-9354-6
- Wilfrid Keller and Jörg Richstein, Solutions of the congruence $a^{p-1}\equiv 1\pmod {p^r}$, Math. Comp. 74 (2005), no. 250, 927–936. MR 2114655, DOI 10.1090/S0025-5718-04-01666-7
- H. Turner Laquer, Values of circulants with integer entries, A collection of manuscripts related to the Fibonacci sequence, Fibonacci Assoc., Santa Clara, Calif., 1980, pp. 212–217. MR 624127
- Douglas Lind, Lehmer’s problem for compact abelian groups, Proc. Amer. Math. Soc. 133 (2005), no. 5, 1411–1416. MR 2111966, DOI 10.1090/S0002-9939-04-07753-6
- Morris Newman, On a problem suggested by Olga Taussky-Todd, Illinois J. Math. 24 (1980), no. 1, 156–158. MR 550657
Additional Information
- Dilum DeSilva
- Affiliation: Department of Mathematics, Kansas State University, Manhattan, Kansas 66506
- Address at time of publication: BGSU Firelands, One University Drive, Huron, Ohio 44839
- Email: dilumd@gmail.com
- Christopher Pinner
- Affiliation: Department of Mathematics, Kansas State University, Manhattan, Kansas 66506
- MR Author ID: 319822
- Email: pinner@math.ksu.edu
- Received by editor(s): March 30, 2012
- Received by editor(s) in revised form: July 10, 2012
- Published electronically: February 26, 2014
- Communicated by: Matthew A. Papanikolas
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 1935-1941
- MSC (2010): Primary 11R06, 11R09; Secondary 11B83, 11C08, 11G50, 11T22
- DOI: https://doi.org/10.1090/S0002-9939-2014-11954-X
- MathSciNet review: 3182012