Journal of Number Theory

Contents

Journal of Number Theory is a peer-reviewed scientific journal specializing in number theory and related topics in pure mathematics. Founded in 1969, it publishes original research articles, survey papers, and short communications by mathematicians associated with institutions such as Princeton University, Harvard University, Massachusetts Institute of Technology, University of Cambridge, and École Normale Supérieure. The journal has been cited alongside other major periodicals like Annals of Mathematics, Inventiones Mathematicae, Journal of the American Mathematical Society, Acta Mathematica, and Duke Mathematical Journal.

History

The journal was established in 1969 during a period of expansion in American and international mathematical publishing, contemporaneous with developments at Institute for Advanced Study, University of California, Berkeley, Columbia University, California Institute of Technology, and Stanford University. Early editors and contributors were affiliated with institutions including University of Chicago, University of Michigan, Rutgers University, University of Toronto, and University of Paris. Over decades the journal has documented research linked to major events and programs such as the International Congress of Mathematicians, the activities of the Clay Mathematics Institute, collaborations with the National Science Foundation, and relationships with publishing houses like Elsevier and Academic Press. Editorial transitions involved scholars from University of Oxford, ETH Zurich, École Polytechnique, and University of Bonn.

The journal focuses on research in algebraic number theory, analytic number theory, Diophantine geometry, arithmetic geometry, modular forms, automorphic forms, L-functions, and computational number theory. Articles often engage with conjectures and problems associated with figures and results tied to Andrew Wiles, Gerd Faltings, Yves Hellegouarch, Carl Friedrich Gauss, Bernhard Riemann, Srinivasa Ramanujan, and Paul Erdős. Typical submissions analyze structures related to elliptic curves, Modular curve, Galois representation, Mordell conjecture, Langlands program, Sato–Tate conjecture, and Birch and Swinnerton-Dyer conjecture. The journal also publishes work on explicit computations referencing software and projects linked with SageMath, PARI/GP, Magma, L-Functions and Modular Forms Database, and collaborations involving researchers from Imperial College London and University of Bonn.

The editorial board comprises editors and associate editors drawn from leading universities and research centers such as Princeton University, Harvard University, University of Cambridge, University of California, Berkeley, Université Paris-Saclay, Technical University of Munich, Max Planck Institute for Mathematics, Korean Institute for Advanced Study, and Tokyo Institute of Technology. Editors have included prominent mathematicians who have also been associated with awards and institutions like the Fields Medal, Clay Research Award, Sloan Research Fellowship, American Mathematical Society, European Mathematical Society, and Royal Society. The publisher originally was Academic Press; subsequent arrangements placed production and distribution within imprints related to Elsevier. The journal issues new volumes monthly and assigns Digital Object Identifiers used by aggregators such as CrossRef, libraries at Library of Congress, and consortia like JSTOR and Project Euclid.

The journal is indexed in major bibliographic and citation databases including MathSciNet, Zentralblatt MATH, Scopus, Web of Science, and specialist services used by institutions like National Institutes of Health for bibliometrics. It appears in library catalogs of Harvard Library, Bodleian Library, Bibliothèque nationale de France, British Library, and consortial systems like OCLC. Citation tracking features in tools associated with Google Scholar, CrossRef, Clarivate Analytics, and reference managers used at Massachusetts Institute of Technology and University of Oxford.

Notable papers published in the journal have influenced work connected to researchers such as Serge Lang, John Tate, Goro Shimura, Atle Selberg, Erich Hecke, Andrew Granville, Henryk Iwaniec, Kannan Soundararajan, Ken Ribet, Richard Taylor, and Jean-Pierre Serre. Contributions include advances on analytic estimates, modularity lifting, explicit bounds for primes in arithmetic progressions, and computational verifications of conjectures. The journal’s impact is reflected in citations within landmark works and monographs published by Cambridge University Press, Princeton University Press, Springer-Verlag, and referenced at seminars and workshops hosted by research centers such as Mathematical Sciences Research Institute, Centre National de la Recherche Scientifique, and Institut Henri Poincaré.

Access to articles is provided through institutional subscriptions held by universities and libraries including Yale University, Columbia University, University of Chicago, University of California, and national consortia in countries such as United Kingdom, France, Germany, India, and Japan. The publisher offers hybrid models combining subscription access and author-paid open access options compatible with mandates from funders like the European Research Council, National Science Foundation, Wellcome Trust, and Horizon Europe. Archives are maintained in digital repositories and mirrored via services used by institutions such as Cornell University and University of Michigan.

Category:Mathematics journals