Acta Arithmetica — LLMpedia

Acta Arithmetica
Printer of journal, Panstwowe Wydawnictwo Naukowe, Warszawa · Public domain · source
Title	Acta Arithmetica
Discipline	Number theory
Language	English, Polish
Abbreviation	Acta Arith.
Publisher	Institute of Mathematics of the Polish Academy of Sciences
Country	Poland
History	1935–present
Frequency	Quarterly
Issn	0065-1036

Contents

Acta Arithmetica Acta Arithmetica is a peer-reviewed mathematical journal specializing in number theory and related topics. Founded in 1935 under the auspices of the Polish Academy of Sciences and closely associated with the Banach Center tradition, it has published research by figures such as Paul Erdős, Andrzej Schinzel, Stanisław Ulam, Raphaël Salem, and Wacław Sierpiński. The journal has featured work connected to developments at institutions like the University of Warsaw, the Jagiellonian University, the Steklov Institute of Mathematics, and collaborations involving mathematicians such as Carl Ludwig Siegel, Ivan Vinogradov, Heinz-Dieter Ebbinghaus, and Goro Shimura.

History

The journal was established in 1935 during an era shaped by mathematicians including Stefan Banach, Kazimierz Kuratowski, Hugo Steinhaus, and Marian Rejewski-era Polish scientific revival, with editorial continuity through disruptions of World War II and the Cold War. Early contributors included Wacław Sierpiński, Otto Toeplitz-era contemporaries, and correspondents from the Mathematical Institute of the Polish Academy of Sciences. In postwar decades the pages featured authors such as Ivan Vinogradov, Norbert Wiener, Aleksandr Khinchin, and Louis Mordell, reflecting contacts between the University of Cambridge, Trinity College, Cambridge, Harvard University, and the Moscow State University school. During the late 20th century names like Paul Erdős, Atle Selberg, Andrzej Schinzel, and Andrew Wiles appeared in related citations and influence networks, while editorial policies adapted amid transitions involving the Institute of Mathematics of the Polish Academy of Sciences and publishing practices influenced by Springer-Verlag norms.

The editorial board historically included editors drawn from the Polish Academy of Sciences, Jagiellonian University, University of Warsaw, and international scholars connected to Princeton University, Harvard University, Moscow State University, University of Cambridge, and University of Oxford. Editors and reviewers have included mathematicians from schools of André Weil, Eugène Lalande-era networks, and modern contributors linked to Wiles, Taylor, Conrad, and Mazur-style research clusters. Peer review follows standard practices influenced by editorial models at Annals of Mathematics, Journal of Number Theory, Duke Mathematical Journal, and Inventiones Mathematicae. Publication frequency has been quarterly, with special issues reflecting conferences held at venues like the Banach Center, the International Congress of Mathematicians, and workshops at Mathematical Research Institute of Oberwolfach.

Acta Arithmetica is indexed in major databases and abstracting services used in mathematics, comparable to listings in Zentralblatt MATH, MathSciNet, Scopus, and disciplinary collections curated by the Institute of Mathematics of the Polish Academy of Sciences. Citations to articles appear across bibliographies maintained by researchers at CNRS, Max Planck Institute for Mathematics, National Science Foundation-funded groups, and library catalogs of Library of Congress, Bodleian Library, and the National Library of Poland. Coverage facilitates discoverability alongside journals such as Acta Mathematica, Journal of the American Mathematical Society, and Transactions of the American Mathematical Society.

The journal has published influential papers advancing topics connected to names like Paul Erdős (combinatorial number theory), Heini Halberstam and Hans-Egon Richert (sieve methods), Ivan Vinogradov (trigonometric sums), G. H. Hardy-inspired analyses, and later contributions by K. Ramachandra, R. C. Vaughan, Hua Loo Keng, Serge Lang, and Alan Baker on exponential sums, prime distribution, diophantine equations, and transcendence. Work appearing in the pages has been cited in developments by researchers at University of Toronto, University of California, Berkeley, Columbia University, University of Michigan, and collaborative programs involving European Research Council grants. The journal also contains expository notes that influenced courses taught at ETH Zurich, Scuola Normale Superiore di Pisa, and summer schools organized by CIME.

Back issues and current volumes are available through the Institute of Mathematics of the Polish Academy of Sciences distribution channels, academic libraries at institutions like University of Warsaw, Jagiellonian University, University of Oxford, and consortia such as JSTOR and national repositories maintained by the Polish Digital Library. Subscription and individual access policies mirror those of scholarly publishers collaborating with societies including the Polish Mathematical Society and distribution agreements used by Springer Nature and other academic publishers. Many universities provide access via library subscriptions and interlibrary loan networks connecting to repositories at Mathematical Reviews and institutional archives.

Category:Mathematics journals Category:Number theory