Number Theory Carbondale 1979: Proceedings of the Southern Illinois Number Theory Conference Carbondale, March 30 and 31, 1979

On certain irrational values of the logarithm....Pages 1-9
Recent results on fractional parts of polynomials....Pages 10-17
On the development of Gelfond's method....Pages 18-44
Transcendental numbers....Pages 45-69
Diophantine equations over ℂ(t) and complex multiplication....Pages 70-81
Abhyankar's lemma and the class group....Pages 82-88
Systems of distinct representatives and minimal bases in additive number theory....Pages 89-107
Conjectures on elliptic curves over quadratic fields....Pages 108-118
Ultrafilters and combinatorial number theory....Pages 119-184
Some results related to minimal discriminants....Pages 185-194
Cyclic cubic fields that contain an integer of given index....Pages 195-199
Unique and almost unique factorization....Pages 200-205
Hecke — Weil — Jacquet — Langlands theorem revisited....Pages 206-220
Where are number fields with small class number?....Pages 221-242
Künneth formula for L-functions....Pages 243-255
The Hausdorff dimension of a set of non-normal well approximable numbers....Pages 256-264
A combinatorial problem in additive number theory....Pages 265-282
The number of bits in a product of odd integers....Pages 283-293
Prime discriminants in real quadratic fields of narrow class number one....Pages 294-301
Additive h-bases for n....Pages 302-327
A running time analysis of Brillhart's continued fraction factoring method....Pages 328-342