Juan Carlos Peral

524 total citations
26 papers, 253 citations indexed

About

Juan Carlos Peral is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Juan Carlos Peral has authored 26 papers receiving a total of 253 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Geometry and Topology, 11 papers in Algebra and Number Theory and 9 papers in Mathematical Physics. Recurrent topics in Juan Carlos Peral's work include Algebraic Geometry and Number Theory (14 papers), Analytic Number Theory Research (11 papers) and Advanced Algebra and Geometry (5 papers). Juan Carlos Peral is often cited by papers focused on Algebraic Geometry and Number Theory (14 papers), Analytic Number Theory Research (11 papers) and Advanced Algebra and Geometry (5 papers). Juan Carlos Peral collaborates with scholars based in Spain, Croatia and United States. Juan Carlos Peral's co-authors include Andrej Dujella, Todd Cochrane, Miguel Escobedo, Ph. Tchamitchian, Alberto Torchinsky, Santiago Lavı́n, Emmanuel Serrano, Ramón Perea and Ireneo Peral and has published in prestigious journals such as Mathematics of Computation, Journal of Functional Analysis and Proceedings of the American Mathematical Society.

In The Last Decade

Juan Carlos Peral

22 papers receiving 208 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Juan Carlos Peral Spain	8	142	140	59	53	38	26	253
Juan Arias de Reyna Spain	9	98 0.7×	114 0.8×	45 0.8×	57 1.1×	49 1.3×	35	215
Dmitry S. Kaliuzhnyi-Verbovetskyi United States	8	75 0.5×	90 0.6×	56 0.9×	71 1.3×	70 1.8×	13	198
Julius Borcea Sweden	7	54 0.4×	76 0.5×	69 1.2×	30 0.6×	61 1.6×	21	206
Gerd Mockenhaupt Germany	10	267 1.9×	314 2.2×	30 0.5×	28 0.5×	31 0.8×	15	386
Ludwig Reich Austria	9	87 0.6×	153 1.1×	106 1.8×	83 1.6×	38 1.0×	64	255
Szymon Głąb Poland	10	225 1.6×	191 1.4×	96 1.6×	82 1.5×	40 1.1×	47	305
Bertram M. Schreiber United States	10	184 1.3×	167 1.2×	85 1.4×	73 1.4×	62 1.6×	22	348
Tirthankar Bhattacharyya India	10	154 1.1×	202 1.4×	48 0.8×	84 1.6×	62 1.6×	42	278
Alexandru Buium United States	12	282 2.0×	76 0.5×	420 7.1×	128 2.4×	166 4.4×	61	527
Peter Bundschuh Germany	12	95 0.7×	133 0.9×	82 1.4×	158 3.0×	80 2.1×	65	336

Countries citing papers authored by Juan Carlos Peral

Since Specialization

Citations

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

Fields of papers citing papers by Juan Carlos Peral

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Juan Carlos Peral. 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 Juan Carlos Peral. The network helps show where Juan Carlos Peral may publish in the future.

Co-authorship network of co-authors of Juan Carlos Peral

This figure shows the co-authorship network connecting the top 25 collaborators of Juan Carlos Peral. A scholar is included among the top collaborators of Juan Carlos Peral 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 Juan Carlos Peral. Juan Carlos Peral is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Dujella, Andrej, et al.. (2021). Elliptic curves with torsion groups $${ \mathbb {Z}}/ 8 {\mathbb {Z} } $$ and $${ \mathbb {Z}}/ 2 {\mathbb {Z}} \times {\mathbb {Z}}/ 6 {\mathbb {Z}}$$. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 115(4). 1 indexed citations

Peral, Juan Carlos, et al.. (2021). Early life investment in antlers and body growth reflects adult performance in roe deer population under supplementary feeding conditions. Integrative Zoology. 17(3). 396–407. 1 indexed citations

Dujella, Andrej, et al.. (2020). High rank elliptic curves induced by rational Diophantine triples. Glasnik Matematicki. 55(2). 237–252. 1 indexed citations

Peral, Juan Carlos, et al.. (2016). ELLIPTIC CURVES AND BIQUADRATES.

Dujella, Andrej & Juan Carlos Peral. (2014). High-rank elliptic curves with torsion induced by Diophantine triples. LMS Journal of Computation and Mathematics. 17(1). 282–288. 9 indexed citations

Dujella, Andrej & Juan Carlos Peral. (2014). Elliptic curves coming from Heron triangles. Rocky Mountain Journal of Mathematics. 44(4). 8 indexed citations

Dujella, Andrej & Juan Carlos Peral. (2013). Elliptic curves and Triangles with three rational medians. Journal of Number Theory. 133(6). 2083–2091. 2 indexed citations

Peral, Juan Carlos, et al.. (2013). Sums of biquadrates and elliptic curves. Glasnik Matematicki. 48(1). 49–58. 1 indexed citations

Dujella, Andrej, et al.. (2012). On the rank of elliptic curves coming from rational Diophantine triples. Rocky Mountain Journal of Mathematics. 42(6). 8 indexed citations

10.

Peral, Juan Carlos, et al.. (2007). The integer Chebyshev constant of Farey intervals. Publicacions Matemàtiques. EXTRA. 11–27. 8 indexed citations

11.

Peral, Juan Carlos, et al.. (2005). The trace of totally positive algebraic integers. Mathematics of Computation. 75(253). 385–393. 12 indexed citations

12.

Cochrane, Todd & Juan Carlos Peral. (2001). An Asymptotic Formula for a Trigonometric Sum of Vinogradov. Journal of Number Theory. 91(1). 1–19. 10 indexed citations

13.

Peral, Juan Carlos, et al.. (2000). High rank elliptic curves of the form y2= x3+Bx. Revista Matemática Complutense. 13(1). 1 indexed citations

14.

Escobedo, Miguel, et al.. (1991). Basis of Wavelets and Atomic Decompositions of H 1 (ℝ n ) and H 1 (ℝ n × ℝ n ). Proceedings of the American Mathematical Society. 111(3). 683–683. 3 indexed citations

15.

Escobedo, Miguel, et al.. (1991). Basis of wavelets and atomic decompositions of $H\sp 1({\bf R}\sp n)$ and $H\sp 1({\bf R}\sp n\times {\bf R}\sp n)$. Proceedings of the American Mathematical Society. 111(3). 683–683. 2 indexed citations

16.

Peral, Juan Carlos. (1990). On a sum of Vinogradov. Colloquium Mathematicum. 60(1). 225–233. 5 indexed citations

17.

Peral, Ireneo, et al.. (1982). L p -estimates for hyperbolic operators applications to □ u = u k . Annales de la faculté des sciences de Toulouse Mathématiques. 4(2). 143–152. 1 indexed citations

18.

Peral, Juan Carlos. (1980). Lp estimates for the wave equation. Journal of Functional Analysis. 36(1). 114–145. 134 indexed citations

19.

Peral, Juan Carlos & Alberto Torchinsky. (1979). Multipliers in Hp(Rn), 0< p<∞. Arkiv för matematik. 17(1-2). 225–235. 2 indexed citations

20.

Peral, Juan Carlos. (1978). L[p] estimates for the wave equation. University Microfilms International eBooks. 25 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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