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Utilitas Mathematica
ISSN: 0315-3681 (print)
Utilitas Mathematica is a historical journal in statistical designs and combinatorial mathematics, established in 1972. Over more than five decades, it has provided a respected platform for high-quality research contributions, earning strong recognition in the global mathematical community.
Open Access: The journal follows the Diamond Open Access model—completely free for both authors and readers, with no article processing charges (APCs).
Publication Frequency: From 2024 onward, Utilitas Mathematica publishes four issues annually—in March, June, September, and December.
Scope: Publishes research in statistical designs and all areas of combinatorics, including graph theory, design theory, extremal combinatorics, enumeration, algebraic combinatorics, combinatorial optimization, discrete geometry, convex geometry, Ramsey theory, coding theory, automorphism groups, finite geometries, and chemical graph theory.
Indexing & Abstracting: The journal is indexed in MathSciNet, Zentralblatt MATH, and EBSCO, ensuring visibility and accessibility for the international mathematics community.
Rapid Publication: Submissions are reviewed efficiently, with accepted papers scheduled for prompt publication in the upcoming issue.
Print & Online Editions: Issues are published in both print and online formats to serve a wide range of readers.
- Research article
- https://doi.org/10.61091/um118-01
- Full Text
- Utilitas Mathematica
- Volume 118
- Pages: 3-13
- Published: 30/12/2023
By combining the telescoping method with Cassini–like formulae, we evaluate, in closed forms, four classes of sums about products of two arctangent functions with their argument involving Pell and Pell–Lucas polynomials. Several infinite series identities for Fibonacci and Lucas numbers are deduced as consequences.
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