Anticyclotomic main conjectures.
Antieigenvalue analysis for continuum mechanics, economics, and number theory
My recent book Antieigenvalue Analysis, World-Scientific, 2012, presented the theory of antieigenvalues from its inception in 1966 up to 2010, and its applications within those forty-five years to Numerical Analysis, Wavelets, Statistics, Quantum Mechanics, Finance, and Optimization. Here I am able to offer three further areas of application: Continuum Mechanics, Economics, and Number Theory. In particular, the critical angle of repose in a continuum model of granular materials is shown to be exactly...
Anwendung des Perron'schen Beweises eines Satzes von Minkowski
Anwendung einer Summationsformel auf Dirichletsche Reihen und verallgemeinerte Dedekindsche Summen
Anwendung einer zahlengeometrischen Methode von C.L. Siegel auf Probleme der Analysis.
Anwendung eines abgeänderten Roth-Ridoutschen Satzes auf diophantische Gleichungen.
Anzahl der Zerlegungen einer ganzen, rationalen Zahl in Summanden, II.
Anzahl der Zerlegungen einer ganzen rationalen Zahl in Summanden
Aperiodic words on three symbols.
Aperiodic words on three symbols. II.
Aperiodic words on three symbols. III.
Aposyndesis in
We consider the Golomb and the Kirch topologies in the set of natural numbers. Among other results, we show that while with the Kirch topology every arithmetic progression is aposyndetic, in the Golomb topology only for those arithmetic progressions with the property that every prime number that divides also divides , it follows that being connected, being Brown, being totally Brown, and being aposyndetic are all equivalent. This characterizes the arithmetic progressions which are aposyndetic...
Appending digits to generate an infinite sequence of composite numbers.
Appendix: A refinement of the strong multiplicity one theorem for GL(2). (Appendix to R. Taylor).
Appendix on return-time sequences
Appendix on the discriminant quotient formula for global field
Appendix to Kazuya Kato: A Hasse principle for two dimensional global fields.
Appendix to Orloff: Critical values of certain tensor product L-functions.
Application de la logique à un problème de dimension diophantienne sur les corps
Application de la théorie des algèbres de mesures à l'étude des mesures spectrales.