Acta Mathematica

Acta Mathematica (commonly abbreviated as ''Acta Math.') is a peer-reviewed academic journal owned and published by the Institut Mittag-Leffler, issued four times a year. One of the most prestigious research journals in mathematics and among the very few top titles hosted by a research institute rather than a learned society, it has not changed ownership since its founding more than a century and a half ago.《数学 Acta》（Acta Mathematica'，常用缩写为 Acta Math.'''''）是由米塔格-勒弗勒研究所（Institut Mittag-Leffler）所有并出版的同行评审学术期刊，每年出版四期。该刊是数学领域最负盛名的研究刊物之一，也是极少数由研究所而非学会主办的顶级数学刊，创刊至今一百四十余年间所有权从未易手。

Scope

The journal exists to communicate pure mathematical research: it runs no application-oriented sections and takes no review-centred articles, publishing only original research whose substance lies in proof and argument. That genre choice matches its ownership structure. Hosted by an institute, its editorial judgement is made by mathematicians rather than by a publisher, and length and influence serve the adequate presentation of the research itself. Its principal subject areas include:本刊的定位是纯粹的数学研究传播：不设应用导向的板块，也不接受以综述为主的稿件，只刊载以证明与论证为核心的原创研究论文。这一体裁选择与它的所有权结构一致——由研究所主办意味着编辑判断由数学研究者而非出版机构作出，篇幅与影响力则服务于研究本身的完整呈现。收文覆盖的主要方向包括：^[1]

• Analysis: partial differential equations, harmonic and spectral analysis, complex and several complex variables, and calculus of variations.分析学： 偏微分方程、调和分析与谱分析、复分析与多复分析、变分法。

• Algebra and geometry: algebraic geometry, commutative algebra, representation theory, and arithmetic geometry.代数与几何： 代数几何、交换代数、表示论、算术几何。

• Number theory: analytic and algebraic number theory, Diophantine geometry, and number-theoretic problems arising in cryptography.数论： 解析数论、代数数论、丢番图几何、密码学相关的数论问题。

• Topology and manifolds: differential and symplectic geometry, topology, fibre bundles and index theory.拓扑与流形： 微分几何、符号几何、拓扑学、纤维丛与指标理论。

• Mathematical physics: operator theory, mathematical problems in quantum field theory and statistical mechanics, and stochastic processes.数学物理： 算子理论、量子场论与统计力学中的数学问题、随机过程。

• Logic, combinatorics and computational mathematics: model theory and set theory, combinatorics and graph theory, computational complexity, and constructive questions in mathematical logic.逻辑、组合与计算数学： 模型论与集合论、组合与图论、计算复杂性、数理逻辑中的构造性问题。

The journal appears quarterly in March, June, September and December, at roughly eight hundred pages to two volumes. Its publishing arrangement is unusual: by special arrangement with the institute, the entire content back to the founding volume of 1882 is freely available online with no article charge, while the printed edition still exists and may be subscribed to at International Press, producing a dual track of fully open electronic content alongside a subscribable print edition. The publisher reports Journal Citation Reports data only: a 2025 impact factor of 7.3, a five-year factor of 6.8 and an immediacy index of 1.200. Neither CiteScore nor an acceptance rate is published, and acceptance requires the agreement of the editorial board.本刊为季刊，每年 3、6、9、12 月出版，每两卷约八百页。出版形态有一项特殊安排：自一九八二年创刊号起全部内容在线免费开放、不收发表费，而印刷版仍存在并可在波士顿国际出版社订阅，形成电子完全开放与印刷可订阅并存的双轨形态。出版社只公布期刊引证报告数据，二〇二五年影响因子为 7.3、五年影响因子 6.8、即时指数 1.200；引用分数与录用比例均未公布，且录用须经编委会一致同意。^[2]

History

• Founding context (1882): the journal was founded in 1882, its first issue being volume 1 of December that year, by the Swedish mathematician Gösta Mittag-Leffler, who in the same year established the Swedish mathematical institute that hosts the title创刊背景（1882年）： 本刊于 1882 年创刊，首期为 1882 年 12 月的第 1 卷，由瑞典数学家哥斯塔·米塔格-勒弗勒创办；他同年创立了瑞典数学研究所，本刊即由该研究所主办，创办的动因可追溯至稍早由马里乌斯·索菲斯·李提出的建议。创刊之初即获得瑞典国王与瑞典皇家科学院的财政支持，早期作者包括庞加莱、康托尔、柯瓦列夫斯卡娅、希尔伯特、阿达马与博雷尔——这份名单说明本刊从创刊起就是跨国际的顶级数学刊物，而非一国的区域性刊物。 the initiative is traceable to a proposal made a little earlier by Marius Sophus Lie. Financial support from the Swedish king and the Royal Swedish Academy of Sciences was secured at the outset, and the early authors included Poincaré, Cantor, Kovalevskaya, Hilbert, Hadamard and Borel, which shows the title was international from the start rather than a regional journal of one country.^[3]

• Forty-five years in the editorial chair: Mittag-Leffler edited the journal from its founding until his death in 1927, one of the longest tenures of any editor in mathematics, and both the institution and its standards were established under him.创办人亲任主编四十五年： 米塔格-勒弗勒自创刊起任主编达四十五年，直至 1927 年去世方卸任，是数学界任期最长的主编之一。在其手上本刊既确立了制度，也确立了标准。^[4]

• Ownership unchanged since founding: the owner of the journal has always been the Institut Mittag-Leffler, an international institute for mathematics under the auspices of the Royal Swedish Academy of Sciences. The widely repeated claim that ownership passed to a commercial publisher in 2010 corresponds to no event in any official or authoritative source.所有权自创刊起未变： 本刊的所有者始终是米塔格-勒弗勒研究所，该研究所是瑞典皇家科学院下属的国际数学研究机构。常见的「本刊所有权于 2010 年转予出版社」一说在任何官方或权威来源中都找不到对应事件，属以讹传讹。^[3]

• Change of printer and distributor (2006–2017): printing and distribution passed through several hands, the documented stage being Springer from 2006 to 2016. With volume 218, that is from 2017, International Press of Boston took over printing and online distribution exclusively and, by special arrangement with the institute, opened the entire content including the founding volume to the public free of charge. The institute's own formulation is that from January 2017 the journal is produced and distributed by International Press of Boston and is freely available online without subscription.印制与发行权的更替（2006—2017年）： 本刊早年的印刷发行由多方承担，其中可考的阶段为二〇〇六至二〇一六年由施普林格承担。自第 218 卷即 2017 年起，波士顿国际出版社独家承担全部印制与线上发行，并依与研究所的特别安排，向公众免费开放包括创刊号在内的全部内容。研究所对此的表述是：本刊自 2017 年 1 月起由波士顿国际出版社印制发行，在线阅读无需订阅。^[5]

Editors

There is a conflict between official sources over who edits the journal, and it is best recorded as it stands rather than resolved by preference. The institute's own page for the title names Hans Ringström, while International Press's newer page and the institute's 2025 annual report both name Tobias Ekholm. What can be confirmed is a timeline: in the 2019 annual report Ekholm already edited this journal while Ringström edited another title of the institute, Arkiv för matematik本刊的主编归属存在官方来源冲突，应如实并列而非择一：研究所官网的本刊页面列汉斯·林斯特伦为主编，而国际出版社的新版页面与研究所二〇二五年年报均列托比亚斯·埃克霍尔姆。可确认的时间线是二〇一九年年报中本刊主编已是埃克霍尔姆、林斯特伦任同院旗下另一刊物《数学 Acta 档案》的主编，其后林斯特伦一度接任本刊，至二〇二五年前后又回到埃克霍尔姆。林斯特伦单独接任本刊的确切起止年份未获证实。本刊的投稿与录用程序由研究所公布，录用须经编委会一致同意。 Ringström then held this journal for a time, before Ekholm returned around 2025. The precise years of Ringström's tenure here are not established. Submission and acceptance procedures are published by the institute, and acceptance requires the agreement of the editorial board.^[6]

• Tobias Ekholm (editor-in-chief as given by the press and the institute's annual report): based at the Institut Mittag-Leffler and the University of Uppsala, working in applied mathematics and spectral theory. The 2019 annual report already records him as editor of this journal, and the 2025 report continues the attribution.托比亚斯·埃克霍尔姆（国际出版社与研究所年报所载主编）： 供职于米塔格-勒弗勒研究所与乌普萨拉大学，在应用数学与谱理论方向工作。二〇一九年年报即记其为本刊主编，二〇二五年年报延续这一记载。^[7]

• Hans Ringström (editor-in-chief as given by the institute's page): based at the Institut Mittag-Leffler and the Royal Institute of Technology, he edited Arkiv för matematik for the institute in 2019 and subsequently took over this journal for a time. The institute's website still names him editor here, an attribution inconsistent with the press.汉斯·林斯特伦（研究所页面所载主编）： 供职于米塔格-勒弗勒研究所与瑞典皇家理工学院，二〇一九年时任本院旗下《数学 Acta 档案》主编，其后一度接任本刊。研究所官网至今仍以他为本刊主编，这一记载与出版社口径不一致。^[8]

• Acceptance procedure: submission and acceptance procedures are published on the institute's own site, and acceptance requires the agreement of the editorial board. This procedure explains why no acceptance rate is published: under a board-consensus system the proportion is not a meaningful public figure.录用程序： 本刊的投稿与录用程序由研究所官方页面公布，录用须经编委会一致同意。这一程序解释了为何本刊不公布录用比例——在一致同意制下，比例本身不是一个有意义的公开指标。^[9]

• Standing in the field: the press describes the journal as one of the most prestigious mathematical research journals in the world, consistently ranking among the top ten titles in mathematics by impact factor, and the institute states that ever since the start it has been among the most prestigious journals in mathematics. Those official positions, together with the founding-era author list, show that the journal's standing is not the product of any one period but is as old as its institution.学科地位： 出版社的官方表述是本刊为世界数学领域最负盛名的研究刊物之一，在影响因子上稳定位列数学类前十；研究所的表述则是「自创刊起即是最负盛名的数学刊物之一」。这两项官方定位加上创刊者的名单，说明本刊在数学界的地位并非某一时段的产物，而是与制度同龄。^[8]