Stéphane Louboutin

1.2k total citations
113 papers, 750 citations indexed

About

Stéphane Louboutin is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Stéphane Louboutin has authored 113 papers receiving a total of 750 indexed citations (citations by other indexed papers that have themselves been cited), including 84 papers in Geometry and Topology, 71 papers in Algebra and Number Theory and 28 papers in Mathematical Physics. Recurrent topics in Stéphane Louboutin's work include Algebraic Geometry and Number Theory (79 papers), Analytic Number Theory Research (67 papers) and Coding theory and cryptography (26 papers). Stéphane Louboutin is often cited by papers focused on Algebraic Geometry and Number Theory (79 papers), Analytic Number Theory Research (67 papers) and Coding theory and cryptography (26 papers). Stéphane Louboutin collaborates with scholars based in France, South Korea and Japan. Stéphane Louboutin's co-authors include Michel Olivier, Franz Lemmermeyer, Hywel C Williams, Junho Lee, R. A. Mollin, Joël Rivat, Andràs Sárközy and Young-Ho Park and has published in prestigious journals such as Mathematics of Computation, Transactions of the American Mathematical Society and Pacific Journal of Mathematics.

In The Last Decade

Stéphane Louboutin

104 papers receiving 656 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Stéphane Louboutin France 15 624 482 269 196 167 113 750
Georges Gras France 11 397 0.6× 194 0.4× 159 0.6× 78 0.4× 89 0.5× 55 449
Franz Lemmermeyer United States 13 344 0.6× 156 0.3× 149 0.6× 126 0.6× 125 0.7× 49 420
Jean-François Jaulent France 10 295 0.5× 141 0.3× 123 0.5× 67 0.3× 46 0.3× 47 317
Kay Wingberg Germany 8 557 0.9× 177 0.4× 416 1.5× 38 0.2× 89 0.5× 27 591
M. Z. Garaev Mexico 13 144 0.2× 323 0.7× 84 0.3× 156 0.8× 269 1.6× 48 475
Ernst Kani Canada 11 304 0.5× 77 0.2× 168 0.6× 42 0.2× 50 0.3× 27 334
Frank Gerth United States 9 220 0.4× 139 0.3× 121 0.4× 72 0.4× 75 0.4× 48 285
Hershy Kisilevsky Canada 9 216 0.3× 120 0.2× 126 0.5× 35 0.2× 44 0.3× 28 271
Helmut Völklein United States 10 311 0.5× 93 0.2× 194 0.7× 48 0.2× 133 0.8× 40 367
Grigori Kolesnik United States 9 163 0.3× 378 0.8× 141 0.5× 50 0.3× 158 0.9× 21 468

Countries citing papers authored by Stéphane Louboutin

Since Specialization
Citations

This map shows the geographic impact of Stéphane Louboutin'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 Stéphane Louboutin with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Stéphane Louboutin more than expected).

Fields of papers citing papers by Stéphane Louboutin

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Stéphane Louboutin. 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 Stéphane Louboutin. The network helps show where Stéphane Louboutin may publish in the future.

Co-authorship network of co-authors of Stéphane Louboutin

This figure shows the co-authorship network connecting the top 25 collaborators of Stéphane Louboutin. A scholar is included among the top collaborators of Stéphane Louboutin 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 Stéphane Louboutin. Stéphane Louboutin 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.
Louboutin, Stéphane, et al.. (2023). Mean square values of L-functions over subgroups for nonprimitive characters, Dedekind sums and bounds on relative class numbers. Canadian Journal of Mathematics. 75(5). 1711–1743. 1 indexed citations
2.
Louboutin, Stéphane. (2019). ON THE DENOMINATOR OF DEDEKIND SUMS. Bulletin of the Korean Mathematical Society. 56(4). 815–827. 1 indexed citations
3.
Louboutin, Stéphane, et al.. (2019). Representation of the elements of the finite field $${\mathbb {F}}_p$$ by fractions. Periodica Mathematica Hungarica. 79(2). 218–220. 1 indexed citations
4.
Lee, Junho & Stéphane Louboutin. (2016). Discriminants of cyclic cubic orders. Journal of Number Theory. 168. 64–71.
5.
Louboutin, Stéphane. (2009). On the Ono invariants of imaginary quadratic number fields. Journal of Number Theory. 129(10). 2289–2294.
6.
Louboutin, Stéphane, et al.. (2004). The non-normal quartic CM-fields and the dihedral octic CM-fields with ideal class groups of exponent $\le 2$. Mathematica Slovaca. 54(5). 535–574. 2 indexed citations
7.
Louboutin, Stéphane. (2004). The simplest quartic fields with ideal class groups of exponents less than or equal to 2. Journal of the Mathematical Society of Japan. 56(3). 7 indexed citations
8.
Louboutin, Stéphane. (2003). Note on a hypothesis implying the non-vanishing of Dirichlet L-series L(s,χ) for s>0 and real characters χ. Colloquium Mathematicum. 96(2). 207–212. 1 indexed citations
9.
10.
11.
Louboutin, Stéphane, et al.. (1999). Determination of all quaternion CM-fields with ideal class groups of exponent 2. Osaka Journal of Mathematics. 36(2). 229–257. 3 indexed citations
12.
Louboutin, Stéphane. (1999). On the mean value of $|L(1, \chi )|^2$ for odd primitive Dirichlet characters. Proceedings of the Japan Academy Series A Mathematical Sciences. 75(7). 8 indexed citations
13.
Louboutin, Stéphane. (1998). Upper Bounds on |L(1, χ)| and Applications. Canadian Journal of Mathematics. 50(4). 794–815. 10 indexed citations
14.
Louboutin, Stéphane. (1998). Majorations explicites du résidu au point 1 des fonctions zêta de certains corps de nombres. Journal of the Mathematical Society of Japan. 50(1). 11 indexed citations
15.
Louboutin, Stéphane. (1996). Corps quadratiques à corps de classes de Hilbert principaux et à multiplication complexe. Acta Arithmetica. 74(2). 121–140. 2 indexed citations
16.
Louboutin, Stéphane. (1995). Determination of all nonquadratic imaginary cyclic number fields of 2-power degrees with ideal class groups of exponents ≤2. Mathematics of Computation. 64(209). 323–340. 5 indexed citations
17.
Louboutin, Stéphane, et al.. (1994). Determination of all quaternion octic CM-fields with ideal class groups of exponents $2$. Abridged version. Proceedings of the Japan Academy Series A Mathematical Sciences. 70(2). 1 indexed citations
18.
Louboutin, Stéphane. (1994). The Exponent 2-Class-Group Problem for Non-Galois Over Q Quartic Fields That Are Quadratic Extensions of Imaginary Quadratic Fields. Journal of Number Theory. 49(2). 133–141. 3 indexed citations
19.
Louboutin, Stéphane. (1992). Détermination des corps quartiques cycliques totalement imaginaires à groupe des classes d'idéaux d'exposant ≤2. manuscripta mathematica. 77(1). 385–404. 5 indexed citations
20.
Louboutin, Stéphane. (1988). Continued fractions and real quadratic fields. Journal of Number Theory. 30(2). 167–176. 20 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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