ACTA ARITHMETICA

Scope & Guideline

Pioneering insights for the mathematical community.

Introduction

Explore the comprehensive scope of ACTA ARITHMETICA through our detailed guidelines, including its aims and scope. Stay updated with trending and emerging topics, and delve into declining areas to understand shifts in academic interest. Our guidelines also showcase highly cited topics, featuring influential research making a significant impact. Additionally, discover the latest published papers and those with high citation counts, offering a snapshot of current scholarly conversations. Use these guidelines to explore ACTA ARITHMETICA in depth and align your research initiatives with current academic trends.
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.

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