ACTA ARITHMETICA

Scope & Guideline

Connecting researchers through rigorous mathematical exploration.

Introduction

Welcome to the ACTA ARITHMETICA information hub, where our guidelines provide a wealth of knowledge about the journal’s focus and academic contributions. This page includes an extensive look at the aims and scope of ACTA ARITHMETICA, highlighting trending and emerging areas of study. We also examine declining topics to offer insight into academic interest shifts. Our curated list of highly cited topics and recent publications is part of our effort to guide scholars, using these guidelines to stay ahead in their research endeavors.
LanguageMulti-Language
ISSN0065-1036
PublisherPOLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
Support Open AccessNo
CountryPoland
TypeJournal
Convergefrom 1996 to 2024
AbbreviationACTA ARITH / Acta Arith.
Frequency20 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
Address8 SNIADECKICH ST, PL 00 656 WARSZAWA, POLAND

Aims and Scopes

ACTA ARITHMETICA is a journal dedicated to the field of number theory, with a strong emphasis on rigorous mathematical research and innovative methodologies. It publishes original research articles that explore various aspects of arithmetic, including but not limited to diophantine equations, modular forms, algebraic structures, and analytic number theory.
  1. Diophantine Equations and Approximations:
    The journal frequently publishes work related to diophantine equations, focusing on their solutions, properties, and approximations. This includes studies on the distribution of solutions and their relationships with prime numbers.
  2. Modular Forms and L-functions:
    A significant portion of the research covers modular forms and their associated L-functions, examining their properties, congruences, and applications in number theory.
  3. Algebraic Number Theory:
    The journal emphasizes research in algebraic number theory, exploring topics such as class groups, Galois theory, and the properties of number fields.
  4. Analytic Number Theory:
    ACTA ARITHMETICA publishes articles addressing problems in analytic number theory, including the distribution of prime numbers, zeta functions, and asymptotic results.
  5. Arithmetic Geometry and Algebraic Geometry:
    Research involving arithmetic geometry is a core focus, particularly studies that link algebraic geometry with number theory, such as the analysis of rational points on varieties.
  6. Additive and Multiplicative Number Theory:
    The journal includes works that delve into additive and multiplicative properties of integers, including partition theory and the behavior of arithmetic functions.
The recent publications in ACTA ARITHMETICA reflect a dynamic evolution of research themes within number theory. Several emerging scopes indicate a shift towards more complex and interdisciplinary approaches to classical problems. Below are the trending themes observed in the latest issues.
  1. Analytic Techniques in Number Theory:
    There is a growing trend towards using analytic methods to address classical problems in number theory, such as those involving the distribution of primes and values of L-functions.
  2. Interplay Between Number Theory and Geometry:
    Emerging research increasingly explores the connections between number theory and geometry, particularly in the context of arithmetic geometry and the study of rational points on algebraic varieties.
  3. Computational Number Theory:
    With advancements in computational techniques, there is a noticeable increase in publications focused on algorithmic approaches to number-theoretic problems, including those involving large datasets and computational proofs.
  4. Higher-Dimensional Number Theory:
    Research exploring number-theoretic problems in higher dimensions, such as higher-rank algebraic structures and their properties, is becoming more prevalent.
  5. Randomness and Distribution in Number Theory:
    Themes related to the randomness in number theory, including probabilistic methods and statistical distributions of arithmetic functions, are increasingly featured in the journal.

Declining or Waning

While ACTA ARITHMETICA continues to thrive in many areas of number theory, certain themes appear to be declining in prominence based on recent publications. The following themes are observed to be less frequently addressed in the latest issues of the journal.
  1. Elementary Number Theory:
    Research that primarily focuses on elementary techniques in number theory seems to be waning. The journal has shifted towards more advanced topics requiring deeper analytical methods and algebraic structures.
  2. Combinatorial Number Theory:
    The scope of combinatorial number theory, which traditionally included topics like partitions and additive combinatorics, appears to be less represented in recent publications.
  3. Classical Approaches to Number Theory:
    There is a noticeable decline in classical approaches to number theory, such as those focusing solely on integer sequences or simple congruences, as more complex and abstract methodologies gain favor.
  4. Elementary Methods in Diophantine Analysis:
    The use of elementary methods in tackling Diophantine problems, while still relevant, is becoming less frequent as the journal emphasizes more sophisticated techniques and computational approaches.

Similar Journals

Journal de Theorie des Nombres de Bordeaux

Charting New Territories in Number Theory
Publisher: UNIV BORDEAUX, INST MATHEMATIQUES BORDEAUXISSN: 1246-7405Frequency: 3 issues/year

Journal de Theorie des Nombres de Bordeaux is a distinguished publication dedicated to the realms of algebra and number theory, emerging from the esteemed University of Bordeaux and specifically the Institut Mathématiques Bordeaux. With its ISSN number 1246-7405 and E-ISSN 2118-8572, this journal has been a pivotal platform for researchers since its inception in 1996, and it continues to foster innovative mathematical scholarship through 2024. Notably, the journal is recognized in the Q2 category of 2023 in both Algebra and Number Theory, affirming its significance within the academic community where it ranks #99 out of 119 in its field according to Scopus metrics. Although it operates without open access, it provides valuable insights and peer-reviewed articles that contribute to the ongoing dialogue in mathematics. As the global interest in number theory intensifies, the Journal de Theorie des Nombres de Bordeaux remains an essential resource for mathematicians, researchers, and students alike, encouraging rigorous exploration and dissemination of knowledge in this vital area of study.

PUBLICATIONES MATHEMATICAE DEBRECEN

Charting the Course of Mathematical Excellence
Publisher: Univ Debrecen, Inst MathematicsISSN: 0033-3883Frequency: 4 issues/year

Publicationes Mathematicae Debrecen is a renowned international journal published by the University of Debrecen, Institute of Mathematics, situated in Hungary. This journal, with both ISSN 0033-3883 and E-ISSN 2064-2849, has established itself in the field of mathematics since its inception, with coverage extending from 1997 to 2024. Recognized for its rigorous academic standards, it currently holds a Q3 ranking in the mathematics (miscellaneous) category for 2023 and ranks at the 42nd percentile among general mathematics journals in Scopus. Publicationes Mathematicae Debrecen aims to disseminate high-quality research across various areas of mathematics, contributing to the advancement of knowledge and practice in this dynamic field. Although it is not an open-access journal, its readers can access a wealth of scholarly work that addresses both theoretical and applied mathematical issues, making it an invaluable resource for researchers, professionals, and students alike.

Kodai Mathematical Journal

Bridging Tradition and Novelty in Mathematics
Publisher: KINOKUNIYA CO LTDISSN: 0386-5991Frequency: 3 issues/year

Kodai Mathematical Journal is a distinguished publication dedicated to advancing the field of mathematics, particularly in miscellaneous areas. Established in 1949, this esteemed journal has been a reputable source for researchers and practitioners who seek to contribute to the rich landscape of mathematical knowledge. Published by KINOKUNIYA CO LTD, the journal is based in the academic environment of Tokyo Institute of Technology and serves a global audience with rigorous and insightful research articles. Despite its current Q3 quartile ranking in the Scopus Mathematics category, which reflects its niche but impactful contributions, the journal is poised for growth; the convergence of traditional and novel mathematical techniques promises to enhance its relevance further. Researchers, professionals, and students are encouraged to engage with the rich content of the journal, aimed at fostering collaboration and nurturing innovation in the mathematical community. While currently not available as Open Access, Kodai Mathematical Journal remains a critical resource for those passionate about mathematics and its applications.

ARCHIV DER MATHEMATIK

Shaping the Future of Mathematics with Every Publication
Publisher: SPRINGER BASEL AGISSN: 0003-889XFrequency: 12 issues/year

ARCHIV DER MATHEMATIK is a distinguished journal published by SPRINGER BASEL AG, renowned for its contributions to the field of mathematics. Established in 1948 and continuing its legacy through to 2024, the journal provides a platform for innovative research and scholarly articles that push the boundaries of mathematical theory and application. With an ISSN of 0003-889X and an E-ISSN of 1420-8938, it holds a reputable position within the academic community, reflected by its Q2 ranking in the 2023 Mathematics (Miscellaneous) category. Despite not being an open access publication, ARCHIV DER MATHEMATIK remains accessible to a global audience through various databases, ensuring the dissemination of high-quality research. The journal’s commitment to enhancing mathematical discourse makes it an essential resource for researchers, professionals, and students seeking to expand their understanding of this vital discipline.

Periodica Mathematica Hungarica

Advancing Mathematical Frontiers, One Study at a Time.
Publisher: SPRINGERISSN: 0031-5303Frequency: 4 issues/year

Periodica Mathematica Hungarica is a prestigious academic journal published by Springer, focusing on the field of mathematics, with a particular emphasis on miscellaneous mathematical studies. Established in 1971, this journal has maintained its commitment to advancing mathematical research and its applications, making significant contributions over its converged years through 2024. With a Q2 ranking in the mathematics category as of 2023, it establishes itself as a vital resource within the mathematical community. Researchers and academics will find its inclusion in the Scopus database, ranking #189 out of 399 in general mathematics, indicative of its impact and relevance. Although it does not feature open access, the journal provides a wealth of high-quality peer-reviewed articles, thereby serving as an essential platform for the dissemination of innovative mathematical theories, methodologies, and findings. Engaging with the content of Periodica Mathematica Hungarica is crucial for anyone looking to stay at the forefront of mathematical research and development.

Documenta Mathematica

Connecting Mathematicians with Cutting-Edge Research
Publisher: EUROPEAN MATHEMATICAL SOC-EMSISSN: 1431-0643Frequency:

Documenta Mathematica is a premier academic journal published by the European Mathematical Society (EMS), making significant contributions to the field of mathematics since its inception. With an Open Access model established in 1996, the journal ensures that scholarly works are freely available to a global audience, promoting widespread dissemination of mathematical research. Based in Germany, it serves as a vital platform for mathematicians, covering a wide array of topics within the discipline, evidenced by its impressive Q1 ranking in the miscellaneous category of mathematics as of 2023. Featuring rigorous peer-reviewed articles that span the latest trends and breakthroughs in the discipline, Documenta Mathematica also retains a commendable position among its peers with a Scopus rank of 163 out of 399, placing it in the 59th percentile for general mathematics. Researchers, professionals, and students alike will benefit from the robust scholarly content and the journal's commitment to advancing mathematical knowledge.

ANNALES DE L INSTITUT FOURIER

Elevating Mathematical Discourse Globally
Publisher: ANNALES INST FOURIERISSN: 0373-0956Frequency: 6 issues/year

ANNALES DE L INSTITUT FOURIER is a premier academic journal published by ANNALES INST FOURIER, specializing in the fields of Algebra and Number Theory as well as Geometry and Topology. Since its establishment, the journal has garnered a distinguished reputation, evidenced by its Q1 quartile ranking in the 2023 category assessments and its Scopus Rank of #37 out of 119 in Algebra and Number Theory, and #34 out of 106 in Geometry and Topology, placing it within the top percentile of its field. The journal serves as a vital platform for disseminating groundbreaking research and innovative methodologies, catering to a global audience of researchers, professionals, and students. With a commitment to the advancement of mathematical sciences, ANNALES DE L INSTITUT FOURIER invites contributions that push the boundaries of knowledge and foster collaboration across disciplines. Although it does not offer open access, the rigorous peer-review process ensures that published papers meet the highest academic standards, making it a critical resource for anyone engaged in advanced mathematical research.

QUARTERLY JOURNAL OF MATHEMATICS

Championing Excellence in Mathematical Scholarship
Publisher: OXFORD UNIV PRESSISSN: 0033-5606Frequency: 4 issues/year

Quarterly Journal of Mathematics, published by Oxford University Press, stands as a pivotal resource for the mathematical community, focusing on a broad spectrum of topics in the field of mathematics. With its esteemed history dating back to 1930, this journal continues to foster innovative research and discussions, providing a platform for scholars to share their findings and insights. Although the journal currently holds a Q3 classification in mathematics (miscellaneous) and is ranked #207 among general mathematics publications in the Scopus database, its commitment to quality and rigorous peer review ensures that it remains relevant and insightful. Researchers, professionals, and students alike will find the Quarterly Journal of Mathematics an invaluable tool for advancing knowledge and understanding in various mathematical disciplines, making it an essential addition to any academic library.

NAGOYA MATHEMATICAL JOURNAL

Elevating Mathematical Discourse Through Quality Research
Publisher: CAMBRIDGE UNIV PRESSISSN: 0027-7630Frequency: 4 issues/year

NAGOA MATHEMATICAL JOURNAL, published by Cambridge University Press, is a prestigious journal that has been at the forefront of advancing mathematical scholarship since its inception in 1950. With an ISSN of 0027-7630 and an E-ISSN of 2152-6842, this journal has gained recognition for its high-quality research contributions in the field of mathematics, achieving a Q1 classification in Mathematics (miscellaneous) as of 2023. The journal’s impact is further reflected in its Scopus rank of #164 out of 399 in the General Mathematics category, positioning it within the 59th percentile of its peers. Scholars, researchers, and students can access a range of innovative mathematical studies that explore diverse topics, fostering a vibrant dialogue within the mathematical community. By catering to a global audience, the NAGOYA MATHEMATICAL JOURNAL continues to play a critical role in shaping contemporary mathematical discourse and research.

MICHIGAN MATHEMATICAL JOURNAL

Shaping the Future of Mathematics with Quality Contributions
Publisher: MICHIGAN MATHEMATICAL JOURNALISSN: 0026-2285Frequency: 4 issues/year

The MICHIGAN MATHEMATICAL JOURNAL is a prestigious and influential publication in the field of mathematics, founded by the University of Michigan. With an ISSN of 0026-2285 and an E-ISSN of 1945-2365, this journal is recognized for its high-quality research and has achieved a commendable Q1 ranking in the category of Mathematics (miscellaneous) as of 2023. Published by the esteemed Michigan Mathematical Journal, it provides a platform for the dissemination of innovative mathematical theories and findings, playing a crucial role in advancing knowledge and scholarship within the mathematical community. With coverage spanning from 1996 to 2024, the journal emphasizes rigorous theoretical development and fosters collaboration among researchers, professionals, and students alike. While not an open-access journal, its contributions are invaluable for those looking to stay abreast of cutting-edge mathematical research.