International Journal of Maps in Mathematics https://simadp.com/journalmim <p>International Journal of Maps in Mathematics (Int. J. Maps Math.) is a fully refereed international journal dealing with maps in mathematics and related structures. The language of the Journal is English. International Journal of Maps in Mathematics will have 2 issues per year (in March and September) and it welcomes the original submission of papers from all parts of the world. International Journal of Maps in Mathematics provides an international forum for researchers and professionals to share their work and report new advances on all topics related to certain maps in mathematics and mathematical sciences.</p> <p>The journal emphasizes timely processing of submissions and minimal backlogs in publication time. We review papers and advise authors of their paper status with a target turnaround time of 2 months.</p> <p>International Journal of Maps in Mathematics provides immediate open access to its content on the principle that making research freely available to the academic community. No page charges for publications in this journal.</p> <p> </p> Bayram Sahin en-US International Journal of Maps in Mathematics 2636-7467 <p>The copyright to the article is transferred to body International Journal of Maps in Mathematics effective if and when the article is accepted for publication.</p> <ul> <li>The copyright transfer covers the exclusive right to reproduce and distribute the article, including reprints, translations, photographic reproductions, microform, electronic form (offline, online) or any other reproductions of similar nature.</li> <li>An author may make his/her article published by body&nbsp;International Journal of Maps in Mathematics available on his/her home page provided the source of the published article is cited and body&nbsp;International Journal of Maps in Mathematics is mentioned as copyright owner.</li> <li>The author warrants that this contribution is original and that he/she has full power to make this grant. The author signs for and accepts responsibility for releasing this material on behalf of any and all co-authors. After submission of this agreement signed by the corresponding author, changes of authorship or in the order of the authors listed will not be accepted by body&nbsp;International Journal of Maps in Mathematics.</li> </ul> Faulhaber-type formulas for the sums of powers of arithmetic sequences https://simadp.com/journalmim/article/view/380 <p>In this article, we derive explicit formulas for computing the sums of powers in arithmetic sequences. We begin with a historical odyssey, tracing the contributions of some of the world’s most influential mathematicians whose work has shaped and inspired our approach. We then present two distinct Faulhaber-type formulas--one involving Bernoulli numbers and closely resembling the classical formula for sums of powers of integers. To establish these results, we employ two different techniques: the first is based on the principle of invariance, while the second uses the differencing operator applied to polynomials. Although the methods differ in form, we emphasize that they share the similar computational complexity, a point we demonstrate with illustrative examples at the end.</p> Morgan Schreffler Türkay Yolcu Copyright (c) 2025 International Journal of Maps in Mathematics 2025-09-28 2025-09-28 8 2 769 790 Analytical exploration of weyl-conformal curvature tensor in Lorentzian β-Kenmotsu manifolds endowed with generalized Tanaka-Webster connection https://simadp.com/journalmim/article/view/367 <p class="p1">This paper investigates the conformal curvature properties of Lorentzian β-Kenmotsu (LβK) manifolds admitting a generalized Tanaka-Webster (g-TW) connection. We begin by establishing the fundamental preliminaries of LβK manifolds and exploring their curvature properties under the influence of g-TW connection. The study then focuses on specific curvature conditions, including R· S = 0, S· R = 0, conformally flat, ζ-conformally flat, and pseudo-conformally flat conditions, to examine their geometric and structural implications. Additionally, we construct an explicit example of a 3-dimensional LβK manifold that admits a g-TW connection, providing concrete validation of our theoretical results. The findings contribute to the broader understanding of curvature behaviors in almost contact pseudo-Riemannian geometry and extend the study of non-Riemannian connections in Lorentzian manifolds.</p> Gyanvendra Pratap Singh Pranjal Sharma Zohra Fatma Copyright (c) 2025 International Journal of Maps in Mathematics 2025-09-28 2025-09-28 8 2 567 588