Number Theory Carbondale 1979 [electronic resource] : Proceedings of the Southern Illinois Number Theory Conference Carbondale, March 30 and 31, 1979 / edited by Melvyn B. Nathanson.

On certain irrational values of the logarithm -- Recent results on fractional parts of polynomials -- On the development of Gelfond's method -- Transcendental numbers -- Diophantine equations over ?(t) and complex multiplication -- Abhyankar's lemma and the class group -- Systems of distinct representatives and minimal bases in additive number theory -- Conjectures on elliptic curves over quadratic fields -- Ultrafilters and combinatorial number theory -- Some results related to minimal discriminants -- Cyclic cubic fields that contain an integer of given index -- Unique and almost unique factorization -- Hecke — Weil — Jacquet — Langlands theorem revisited -- Where are number fields with small class number? -- Künneth formula for L-functions -- The Hausdorff dimension of a set of non-normal well approximable numbers -- A combinatorial problem in additive number theory -- The number of bits in a product of odd integers -- Prime discriminants in real quadratic fields of narrow class number one -- Additive h-bases for n -- A running time analysis of Brillhart's continued fraction factoring method.