On a conjecture of D. H. Lehmer
D. Cantor, E. Straus (1982)
Acta Arithmetica
Masakazu Yamagishi (1989)
Mathematische Zeitschrift
Larry Joel Goldstein (1973)
Manuscripta mathematica
K. Kubota (1977)
Acta Arithmetica
David Solomon (1992)
Inventiones mathematicae
J.H. Loxton (1974)
Journal für die reine und angewandte Mathematik
S. Raghavan (1974)
Acta Arithmetica
Hirofumi Tsumura (1996)
Acta Arithmetica
D. GOSS (1982)
Mathematische Annalen
Kay Wingberg (1991)
Journal für die reine und angewandte Mathematik
Li Guo (1993)
Compositio Mathematica
H. Williams (1972)
Acta Arithmetica
Shigeru Kanemitsu, Takako Kuzumaki (2001)
Acta Arithmetica
S. Chowla, M.J. DeLeon, P. Hartung (1973)
Journal für die reine und angewandte Mathematik
Malte Witte (2014)
Journal of the European Mathematical Society
We formulate and prove an analogue of the noncommutative Iwasawa main conjecture for -adic Lie extensions of a separated scheme of finite type over a finite field of characteristic prime to .
Manjul Bhargava, Matthew Satriano (2014)
Journal of the European Mathematical Society
We introduce a notion of “Galois closure” for extensions of rings. We show that the notion agrees with the usual notion of Galois closure in the case of an degree extension of fields. Moreover, we prove a number of properties of this construction; for example, we show that it is functorial and respects base change. We also investigate the behavior of this Galois closure construction for various natural classes of ring extensions.
Pradipto Banerjee, Michael Filaseta (2010)
Acta Arithmetica
Jeffrey C. Lagarias (1999)
Acta Arithmetica
Pierre Dèbes (1995)
Acta Arithmetica
Peter Stevenhagen (1996)
Acta Arithmetica