Şaban Alaca

661 total citations
34 papers, 351 citations indexed

About

Şaban Alaca is a scholar working on Algebra and Number Theory, Discrete Mathematics and Combinatorics and Geometry and Topology. According to data from OpenAlex, Şaban Alaca has authored 34 papers receiving a total of 351 indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Algebra and Number Theory, 9 papers in Discrete Mathematics and Combinatorics and 9 papers in Geometry and Topology. Recurrent topics in Şaban Alaca's work include Analytic Number Theory Research (23 papers), Advanced Mathematical Identities (21 papers) and Advanced Combinatorial Mathematics (7 papers). Şaban Alaca is often cited by papers focused on Analytic Number Theory Research (23 papers), Advanced Mathematical Identities (21 papers) and Advanced Combinatorial Mathematics (7 papers). Şaban Alaca collaborates with scholars based in Canada and Türkiye. Şaban Alaca's co-authors include Kenneth S. Williams, Ayşe Alaca, Michel Kulhandjian, Halim Yanıkömeroğlu, Claude D’Amours and Blair K. Spearman and has published in prestigious journals such as American Mathematical Monthly, Proceedings of the American Mathematical Society and IEEE Wireless Communications Letters.

In The Last Decade

Şaban Alaca

32 papers receiving 325 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Şaban Alaca Canada 11 302 109 105 98 50 34 351
Kaisa Matomäki Finland 9 218 0.7× 103 0.9× 122 1.2× 102 1.0× 18 0.4× 44 245
Timothy S. Trudgian Australia 9 198 0.7× 65 0.6× 48 0.5× 82 0.8× 48 1.0× 25 204
Régis de la Bretèche France 11 212 0.7× 70 0.6× 98 0.9× 188 1.9× 71 1.4× 54 280
Emré Alkan Türkiye 10 309 1.0× 48 0.4× 137 1.3× 96 1.0× 91 1.8× 59 338
C. Y. Yıldırım Türkiye 8 195 0.6× 110 1.0× 28 0.3× 110 1.1× 22 0.4× 22 214
Angel Kumchev United States 10 272 0.9× 127 1.2× 67 0.6× 160 1.6× 21 0.4× 34 290
Линг Лонг United States 8 261 0.9× 73 0.7× 99 0.9× 104 1.1× 102 2.0× 26 308
Wenguang Zhai China 10 317 1.0× 76 0.7× 147 1.4× 121 1.2× 64 1.3× 78 340
H.-E. Richert Germany 9 165 0.5× 66 0.6× 56 0.5× 91 0.9× 37 0.7× 23 237
Tauno Metsänkylä Finland 10 195 0.6× 56 0.5× 82 0.8× 178 1.8× 16 0.3× 35 280

Countries citing papers authored by Şaban Alaca

Since Specialization
Citations

This map shows the geographic impact of Şaban Alaca's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Şaban Alaca with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Şaban Alaca more than expected).

Fields of papers citing papers by Şaban Alaca

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Şaban Alaca. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Şaban Alaca. The network helps show where Şaban Alaca may publish in the future.

Co-authorship network of co-authors of Şaban Alaca

This figure shows the co-authorship network connecting the top 25 collaborators of Şaban Alaca. A scholar is included among the top collaborators of Şaban Alaca based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Şaban Alaca. Şaban Alaca is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Kulhandjian, Michel, et al.. (2022). Low-Density Spreading Design Based on an Algebraic Scheme for NOMA Systems. IEEE Wireless Communications Letters. 11(4). 698–702. 5 indexed citations
2.
Alaca, Ayşe, Şaban Alaca, & Kenneth S. Williams. (2020). Representation numbers of seven quaternary quadratic forms each in a genus consisting of only two classes. TURKISH JOURNAL OF MATHEMATICS. 44(6). 1955–1981.
3.
Alaca, Şaban, et al.. (2015). Evaluation of the convolution sums ∑l+27m=nσ(l)σ(m) and ∑l+32m=nσ(l)σ(m). International Journal of Number Theory. 12(1). 1–13. 8 indexed citations
4.
Alaca, Şaban, et al.. (2014). On the number of representations of a positive integer as a sum of two binary quadratic forms. International Journal of Number Theory. 10(6). 1395–1420. 2 indexed citations
5.
Alaca, Şaban, et al.. (2013). REPRESENTATIONS BY CERTAIN OCTONARY QUADRATIC FORMS WHOSE COEFFICIENTS ARE 1, 2, 3 AND 6. International Journal of Number Theory. 10(1). 133–150. 6 indexed citations
6.
Alaca, Şaban, et al.. (2012). Some arithmetic identities involving divisor functions. Functiones et Approximatio Commentarii Mathematici. 46(2). 8 indexed citations
7.
Alaca, Şaban, et al.. (2012). SOME PRODUCT-TO-SUM IDENTITIES. 1 indexed citations
8.
Alaca, Şaban & Kenneth S. Williams. (2010). The number of representations of a positive integer by certain octonary quadratic forms. Functiones et Approximatio Commentarii Mathematici. 43(1). 29 indexed citations
9.
Alaca, Ayşe, Şaban Alaca, & Kenneth S. Williams. (2010). SEXTENARY QUADRATIC FORMS AND AN IDENTITY OF KLEIN AND FRICKE. International Journal of Number Theory. 6(1). 169–183. 3 indexed citations
10.
Alaca, Ayşe, Şaban Alaca, & Kenneth S. Williams. (2009). Some Infinite Products of Ramanujan Type. Canadian Mathematical Bulletin. 52(4). 481–492. 4 indexed citations
11.
Alaca, Ayşe, Şaban Alaca, & Kenneth S. Williams. (2008). Liouville's sextenary quadratic forms x2 + y2 + z2 + t2 + 2u2 + 2v2, x2 + y2 + 2z2 + 2t2 + 2u2 + 2v2 and x2 + 2y2 + 2z2 + 2t2 + 2u2 + 4v2. Far East Journal of Mathematical Sciences (FJMS). 30(3). 547–556. 3 indexed citations
12.
Alaca, Ayşe, Şaban Alaca, & Kenneth S. Williams. (2008). Arithmetic Progressions and Binary Quadratic Forms. American Mathematical Monthly. 115(3). 252–254. 2 indexed citations
13.
Alaca, Ayşe, Şaban Alaca, & Kenneth S. Williams. (2007). Evaluation of the Convolution Sums ∑ l+24m=n σ(l) σ(m) and ∑3l+8m=n σ(l) σ(m). Okayama University Scientific Achievement Repository (Okayama University). 49(1). 93–111. 9 indexed citations
14.
Alaca, Ayşe, et al.. (2007). Nineteen quaternary quadratic forms. Acta Arithmetica. 130(3). 277–310. 30 indexed citations
15.
Alaca, Ayşe, et al.. (2007). Lambert series and Liouville's identities. Carleton University's Institutional Repository (MacOdrum Library, Carleton University). 445. 1–72. 1 indexed citations
16.
Alaca, Ayşe, Şaban Alaca, & Kenneth S. Williams. (2007). Evaluation of the convolution sums \sum_{l+18m=n} \sigma(l) \sigma(m) and \sum_{2l+9m=n} \sigma(l) \sigma(m). International Mathematical Forum. 2. 45–68. 24 indexed citations
17.
Alaca, Şaban & Kenneth S. Williams. (2006). Evaluation of the convolution sums ∑l+6m=nσ(l)σ(m) and ∑2l+3m=nσ(l)σ(m). Journal of Number Theory. 124(2). 491–510. 34 indexed citations
18.
Alaca, Şaban, Blair K. Spearman, & Kenneth S. Williams. (2006). Explicit decomposition of a rational prime in a cubic field. International Journal of Mathematics and Mathematical Sciences. 2006(1).
19.
Alaca, Şaban. (2005). Congruences for Brewer sums. Finite Fields and Their Applications. 13(1). 1–19. 4 indexed citations
20.
Alaca, Şaban. (1998). 𝑝-integral bases of a cubic field. Proceedings of the American Mathematical Society. 126(7). 1949–1953. 7 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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