Another generalization of Euler's theorem
Another Look at p-Adic L-Functions for Totally Real Fields.
Another look at real quadratic fields of relative class number 1
The relative class number of a real quadratic field K = ℚ (√m) of discriminant d is defined to be the ratio of the class numbers of and , where denotes the ring of integers of K and is the order of conductor f given by . R. Mollin has shown recently that almost all real quadratic fields have relative class number 1 for some conductor. In this paper we give a characterization of real quadratic fields with relative class number 1 through an elementary approach considering the cases when...
Another note on Hardy-Littlewood's theorem
Another proof of Iwasawa's class number formula
Another relation between π, e, γ and ζ(n).
Another simple proof of the quintuple product identity.
Another smallest part function related to Andrews' spt function
We offer some relations and congruences for two interesting spt-type functions, which together form a relation to Andrews' spt function.
Anticyclotomic Iwasawa theory of CM elliptic curves
We study the Iwasawa theory of a CM elliptic curve in the anticyclotomic -extension of the CM field, where is a prime of good, ordinary reduction for . When the complex -function of vanishes to even order, Rubin’s proof of the two variable main conjecture of Iwasawa theory implies that the Pontryagin dual of the -power Selmer group over the anticyclotomic extension is a torsion Iwasawa module. When the order of vanishing is odd, work of Greenberg show that it is not a torsion module. In...
Anti-cyclotomic Katz -adic -functions and congruence modules
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.