La hipòtesi de Riemann: El gran repte pendent

Autor: Pilar Bayer

Publikováno v: Mètode Science Studies Journal: Annual Review, Iss 8 (2018)

La hipòtesi de Riemann és una afirmació, no demostrada, que fa referència als zeros de la funció zeta de Riemann. Bernhard Riemann calculà els sis primers zeros no trivials d’aquesta funció i observà que tots estaven sobre una mateixa recta

Externí odkaz: https://doaj.org/article/4632dc43702443e9a1bbcd5434045017

Pilar Bayer, medalla d'honor 2015 de la Xarxa Vives

Autor: Alsina Aubach, Montserrat|||0000-0003-0600-2253

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::8ef1a33777cdb1a21bc9e773878dc5bc
http://hdl.handle.net/2117/84659

A reduction point algorithm for cocompact Fuchsian groups and applications

Autor: Pilar Bayer, Dionís Remón

Publikováno v: Advances in Mathematics of Communications. 8:223-239

In the present article we propose a reduction point algorithm for any Fuchsian group in the absence of parabolic transformations. We extend to this setting classical algorithms for Fuchsian groups with parabolic transformations, such as the flip flop

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b66ec9e6f6ecb3fcd6ec7a7f875bd41e
https://doi.org/10.3934/amc.2014.8.223

Quadratic modular symbols

Autor: Iván Blanco-Chacón, Pilar Bayer

Publikováno v: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas. 106:429-441

We study a special kind of homology cycles of the modular curve X0(N). For a newform of weight 2 for Γ0(N), we construct a p-adic L-function by using these cycles. If the newform is defined over \({\mathbb{Q}}\), this p-adic L-function gives rise to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::472bc993fc7b2a7631d1be8102e2ddad
https://doi.org/10.1007/s13398-012-0061-y

Contributions to Shimura curves

Autor: Pilar Bayer

Publikováno v: WIN—Women in Numbers. :15-33

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2be071257c338f780f7610f45d54e58f
https://doi.org/10.1090/fic/060/02