Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Jorge Jiménez Urroz"'
Autor:
Fernando Chamizo, Jorge Jiménez-Urroz
Publikováno v:
Biblos-e Archivo. Repositorio Institucional de la UAM
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Motivated by a model in quantum computation, we study orthogonal sets of integral vectors of the same norm that can be extended with new vectors keeping the norm and the orthogonality. Our approach involves some arithmetic properties of the quaternio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4d947dc9bc92f83d59d8fcd8b72e49f
https://doi.org/10.1007/s40687-022-00357-9
https://doi.org/10.1007/s40687-022-00357-9
We derived an asymptotic formula for the number of pairs of integers which are mutually squares. Earlier results dealt with pairs of integers subject to the restriction that they are both odd, co-prime and squrefree. Here we remove all these restrict
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::813404861b2d61e87b71a9b165e98ffa
http://engine.scichina.com/publisher/scp/journal/SCM?slug=Overview
http://engine.scichina.com/publisher/scp/journal/SCM?slug=Overview
Publikováno v:
Mathematics of Computation. 81:1093-1110
We give an upper bound on the number of finite fields over which elliptic curves of cryptographic interest with a given embedding degree and small complex multiplication discriminant may exist, and present some heuristic arguments which indicate that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::260783ce0119ea8935f24691e16c2948
https://doi.org/10.1090/s0025-5718-2011-02543-3
https://doi.org/10.1090/s0025-5718-2011-02543-3
Autor:
Chantal David, Jorge Jiménez Urroz
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
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Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname
Let E be an elliptic curve over Q. It is well known that the ring of endomorphisms of $E_p$, the reduction of E modulo a prime p of ordinary reduction, is an order of the quadratic imaginary field $Q(\pi_p)$ generated by the Frobenius element $\pi_p$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05231d960ed555fcb2ed7293fd091c76
https://doi.org/10.1142/s1793042110003599
https://doi.org/10.1142/s1793042110003599
Autor:
Jorge Jiménez Urroz, Carles Padró, Ignacio Gracia, Vanesa Daza, Jaume Martí-Farré, Gregor Leander, Ronald Cramer
Publikováno v:
Recercat. Dipósit de la Recerca de Catalunya
instname
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Error-correcting codes and matroids have been widely used in the study of ordinary secret sharing schemes. In this paper, the connections between codes, matroids, and a special class of secret sharing schemes, namely, multiplicative linear secret sha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c1d96fe53159e7c641ccdd737d78465
https://doi.org/10.1109/tit.2008.921692
https://doi.org/10.1109/tit.2008.921692
Publikováno v:
Recercat. Dipósit de la Recerca de Catalunya
Universitat Jaume I
Dieulefait, LV; Urroz, JJ; & Ribet, KA. (2015). Modular forms with large coefficient fields via congruences. Research in Number Theory, 1(1). doi: 10.1007/s40993-015-0003-9. UC Berkeley: Retrieved from: http://www.escholarship.org/uc/item/04t5c157
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Research in Number Theory, vol 1, iss 1
Universitat Jaume I
Dieulefait, LV; Urroz, JJ; & Ribet, KA. (2015). Modular forms with large coefficient fields via congruences. Research in Number Theory, 1(1). doi: 10.1007/s40993-015-0003-9. UC Berkeley: Retrieved from: http://www.escholarship.org/uc/item/04t5c157
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Research in Number Theory, vol 1, iss 1
In this paper we apply results from the theory of congruences of modular forms (control of reducible primes, level-lowering), the modularity of elliptic curves and Q-curves, and a couple of Frey curves of Fermat-Goldbach type, to show the existence o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a03e3a6f4227c3ed8b351fb2fa9d828f
https://doi.org/10.1007/s40993-015-0003-9
https://doi.org/10.1007/s40993-015-0003-9
Publikováno v:
Journal of Number Theory. 96:388-399
Motivated by a conjecture of Mazur, Kuwata and Wang proved that for elliptic curves E1 and E2 whose j-invariants are not simultaneously 0 or 1728, there exist infinitely many square-free integers d for which the rank of the Mordell–Weil group of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9edd9851ad396856144bdad83ac219c7
https://doi.org/10.1006/jnth.2002.2788
https://doi.org/10.1006/jnth.2002.2788
Autor:
Jorge Jiménez-urroz, Andrew Granville
Publikováno v:
The Quarterly Journal of Mathematics. 51:343-352
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef14fbd5552efc7df5e977b61d0da093
https://doi.org/10.1093/qjmath/51.3.343
https://doi.org/10.1093/qjmath/51.3.343
Autor:
Jorge Jiménez-Urroz, Javier Cilleruelo
Publikováno v:
Journal de Théorie des Nombres de Bordeaux. 12:87-92
On montre plusieurs resultats a propos de la longueur minimale d'un arc de l'hyperbole xy = N contenant k points entiers.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a80115530c96c64ec05d75308d3d1260
https://doi.org/10.5802/jtnb.267
https://doi.org/10.5802/jtnb.267
Autor:
Jorge Jiménez-Urroz
Publikováno v:
Journal of Number Theory. 78:140-143
We prove a special case of a conjecture of Erdos and Rosenfeld regarding factor– difference sets of integers.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a09cb1082ac62600d1cc44e5dfb8bc6d
https://doi.org/10.1006/jnth.1999.2407
https://doi.org/10.1006/jnth.1999.2407