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Korselt is a surname associated with contributions in mathematics, jurisprudence, and European intellectual history. Bearers of the name appear in archival records, legal documents, academic publications, and mathematical literature spanning the 19th to 20th centuries. The name is chiefly noted today for its connection to number theory and a specific primality-related criterion that bears the name in mathematical discourse.
The surname traces to Germanic-language onomastic patterns present in regions such as Prussia, Saxony, Bavaria, Hesse and Alsace-Lorraine. Comparable surname forms occur alongside families recorded in parish registers connected to the Holy Roman Empire and the later territorial realignments following the Napoleonic Wars and the Congress of Vienna. Linguistic scholarship links cognate surnames to regional anthroponymy treated in works published by institutions like the German Historical Institute and studies in the Zeitschrift für Namenforschung. Genealogical registries maintained by archives in Berlin, Dresden, Munich, and Strasbourg document variant spellings that align with broader patterns identified by scholars associated with Max Planck Institute for the History of Science and the Bavarian State Library.
Several individuals sharing the surname have appeared in legal, academic, and civil-service records. Among them are jurists recorded in the administrative circles of the Prussian Ministry of Justice and educators connected to universities such as University of Göttingen and University of Strasbourg. Researchers and civil servants with the name appear in municipal archives of Hamburg and Frankfurt am Main, and contributors to regional periodicals associated with the Historische Kommission für Niedersachsen und Bremen. Scholars with the surname have corresponded with figures linked to the Royal Society and the Académie des Sciences through translated works and reviews appearing in journals like the Journal de Mathématiques Pures et Appliquées and the Mathematische Annalen.
The principal mathematical significance of the name derives from contributions to the theory of composite numbers and primality testing within the branch historically termed number theory. This connection situates the surname within networks of mathematicians including contemporaries and successors from institutions such as the École Normale Supérieure, University of Paris, ETH Zurich, University of Cambridge, Princeton University, and University of Göttingen. Work linked to the name interacts with concepts investigated by scholars associated with the Royal Society of London, the American Mathematical Society, and the Deutsche Mathematiker-Vereinigung. Cross-references in treatises on pseudoprimes, Carmichael numbers, and modular arithmetic place the name alongside mathematical apparatus developed by authors cited in journals like the Annals of Mathematics and the Bulletin de la Société Mathématique de France.
Korselt's Criterion is an eponymous test historically invoked in the characterization of certain composite integers that mimic primality properties; it is cited in literature concerning pseudoprimes and the class of numbers later studied as Carmichael numbers. The criterion appears in expository treatments and research articles published in venues such as the Journal of Number Theory, the Proceedings of the London Mathematical Society, and the Transactions of the American Mathematical Society. Its formulation has been discussed in the context of modular congruences and multiplicative order, topics central to work by mathematicians associated with Évariste Galois's legacy, Carl Friedrich Gauss's foundational texts, and later developments by figures linked to Srinivasa Ramanujan, G. H. Hardy, and Atle Selberg. Subsequent analyses by researchers at institutions like Princeton University and University of Cambridge refined the criterion's scope and linked it to computational methods explored at laboratories such as Bell Labs and computing centers at Massachusetts Institute of Technology.
The reception history of the criterion and writings associated with the name spans periodicals and proceedings across Europe and North America. Early notice appeared in national academies' publications including papers referenced in the proceedings of the Académie des Sciences and communications at meetings of the Deutsche Mathematiker-Vereinigung. Interest in the criterion intensified with studies on Carmichael numbers by researchers connected to University of Waterloo and California Institute of Technology, and with computational verifications carried out using architectures developed at IBM and University of Manchester. Historians of mathematics affiliated with the International Commission on the History of Mathematics and the History of Science Society have contextualized the work within 19th- and 20th-century number-theoretic research traditions exemplified by centers such as Berlin Academy of Sciences and École Polytechnique.
The surname endures in citations across mathematical literature, in archival inventories in national libraries like the Bibliothèque nationale de France and the German National Library, and in catalogues of university special collections at University of Göttingen and University of Strasbourg. The criterion and associated discussions remain part of curricula and monographs published by academic presses including Cambridge University Press, Oxford University Press, and Springer Verlag. Modern computational number theory groups at institutions such as Princeton University, University of California, Berkeley, ETH Zurich, and University of Tokyo continue to reference the criterion in relation to primality-testing algorithms and the study of pseudoprimes.
Category:Surnames