Hilbert's Seventh Problem

This is a list of some references and links related to Hilbert's seventh problem.


1995 R.-P. Holzapfel: The ball and some Hilbert problems. Lectures in Mathematics ETH Zürich. Birkhäuser Verlag.
1993 V. G. Sprindzuk: Classical Diophantine equations. Translated from the 1982 Russian original. Translation edited by Ross Talent and Alf van der Poorten. With a foreword by van der Poorten. Lecture Notes in Mathematics 1559. Springer-Verlag.
1992 N. I. Feldman: Simultaneous approximations of logarithms of algebraic numbers and the number pi. Russian, translation in: Moscow Univ. Math. Bull. 47, no. 6, 26-28.
1976 R. Tijdeman: On the Gel'fond-Baker Method and its application. Proceedings of the Symposium in Pure Mathematics of the American Mathematical Society, Held at Northern Illinois University 1974, (edited by F.E.Browder), 241-268.
1966 A. Baker: Linear forms in the logarithms of algebraic numbers. Mathematika 13, 204-216; II, III: Mathematika 14, 102-107, 220-228 (1967); IV: Mathematika 15, 204-216 (1968).
1934 Th. Schneider: Transzendenzuntersuchungen periodischer Funktionen I: Transzendenz von Potenzen. J. reine angew. Math. 172, 65-69.
1934 A.O. Gelfond: On Hilbert's seventh problem. Dokl. Akad. Nauk SSSR 2, 1-6. Izv. Akad. Nauk SSSR 2, 177-182.
1900 D. Hilbert: Irrationalität und Transcendenz bestimmter Zahlen. Akad. Wiss. Göttingen 1900, 274.   English Translation

Hilbert's Problems, English.   Hilberts Probleme, deutsch.


Copyright © 2000 by Ina Kersten
kersten@mathematik.uni-bielefeld.de