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Note on Equality of L-functions of Elliptic Curves


Gusić, Ivica
Note on Equality of L-functions of Elliptic Curves // Archiv der Mathematik, 70 (1998), 137-141 (međunarodna recenzija, članak, znanstveni)


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Naslov
Note on Equality of L-functions of Elliptic Curves

Autori
Gusić, Ivica

Izvornik
Archiv der Mathematik (0003-889X) 70 (1998); 137-141

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Elliptic Curve; number field; abelian variety; Weil functor; Serre theorem; Faltings theorem

Sažetak
We study the equality L(A, K, s)=L(B, M, s) where A, B are elliptic curves defined over Q, and K, M Galois number fields. Using Faltings theorem on isogenies of abelian varieties, Serre theorem on supersingular reduction of elliptic curves and properties of Weil functor of restriction of scalars, the equality is described completely.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Kemijsko inženjerstvo



POVEZANOST RADA


Projekti:
125014

Ustanove:
Fakultet kemijskog inženjerstva i tehnologije, Zagreb

Profili:

Avatar Url Ivica Gusić (autor)


Citiraj ovu publikaciju:

Gusić, Ivica
Note on Equality of L-functions of Elliptic Curves // Archiv der Mathematik, 70 (1998), 137-141 (međunarodna recenzija, članak, znanstveni)
Gusić, I. (1998) Note on Equality of L-functions of Elliptic Curves. Archiv der Mathematik, 70, 137-141.
@article{article, author = {Gusi\'{c}, Ivica}, year = {1998}, pages = {137-141}, keywords = {Elliptic Curve, number field, abelian variety, Weil functor, Serre theorem, Faltings theorem}, journal = {Archiv der Mathematik}, volume = {70}, issn = {0003-889X}, title = {Note on Equality of L-functions of Elliptic Curves}, keyword = {Elliptic Curve, number field, abelian variety, Weil functor, Serre theorem, Faltings theorem} }
@article{article, author = {Gusi\'{c}, Ivica}, year = {1998}, pages = {137-141}, keywords = {Elliptic Curve, number field, abelian variety, Weil functor, Serre theorem, Faltings theorem}, journal = {Archiv der Mathematik}, volume = {70}, issn = {0003-889X}, title = {Note on Equality of L-functions of Elliptic Curves}, keyword = {Elliptic Curve, number field, abelian variety, Weil functor, Serre theorem, Faltings theorem} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • CC
  • Mathematic reviews
  • Zentralblatt fuer Mathematik





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