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Pregled bibliografske jedinice broj: 587031

Modular forms, de Rham cohomology and congruences

Kazalicki, Matija; Scholl, Anthony J.
Modular forms, de Rham cohomology and congruences // 5th Croatian Mathematical Congress / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja (ur.).
Rijeka: Fakultet za matematiku Sveučilišta u Rijeci, 2012. str. 42-42 (predavanje, domaća recenzija, sažetak, ostalo)

CROSBI ID: 587031 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Modular forms, de Rham cohomology and congruences

Autori
Kazalicki, Matija ; Scholl, Anthony J.

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, ostalo

Izvornik
5th Croatian Mathematical Congress / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja - Rijeka : Fakultet za matematiku Sveučilišta u Rijeci, 2012, 42-42

ISBN
037-0372781-2821

Skup
5th Croatian Mathematical Congress

Mjesto i datum
Rijeka, Hrvatska, 18.06.2012. - 21.06.2012

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Domaća recenzija

Ključne riječi
modular forms; Atkin and Swinnerton-Dyer congruences; de Rham

Sažetak
In 1971 Atkin and Swinnerton-Dyer discovered remarkable congruences involving Fourier coefficients of modular forms for noncongruence subgroups. Substantial part of these congruences have been proved by Scholl in 1985 (following work of Cartier, Ditter and Katz). We will explain that similar congruences hold for weakly modular forms. Using interaction of weakly modular forms and modular forms on certain quotient of Fermat curve, we will show that original Atkin and Swinnerton-Dyer type of congruences for modular forms do not hold in this particular example.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
037-0372781-2821 - Diofantske jednadžbe i eliptičke krivulje (Dujella, Andrej, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Avatar Url Matija Kazalicki (autor)

www.math.uniri.hr

Citiraj ovu publikaciju:

Kazalicki, Matija; Scholl, Anthony J.
Modular forms, de Rham cohomology and congruences // 5th Croatian Mathematical Congress / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja (ur.).
Rijeka: Fakultet za matematiku Sveučilišta u Rijeci, 2012. str. 42-42 (predavanje, domaća recenzija, sažetak, ostalo)
Kazalicki, M. & Scholl, A. (2012) Modular forms, de Rham cohomology and congruences. U: Crnković, D., Mikulić Crnković, V. & Rukavina, S. (ur.)5th Croatian Mathematical Congress.
@article{article, author = {Kazalicki, Matija and Scholl, Anthony J.}, year = {2012}, pages = {42-42}, keywords = {modular forms, Atkin and Swinnerton-Dyer congruences, de Rham}, isbn = {037-0372781-2821}, title = {Modular forms, de Rham cohomology and congruences}, keyword = {modular forms, Atkin and Swinnerton-Dyer congruences, de Rham}, publisher = {Fakultet za matematiku Sveu\v{c}ili\v{s}ta u Rijeci}, publisherplace = {Rijeka, Hrvatska} }
@article{article, author = {Kazalicki, Matija and Scholl, Anthony J.}, year = {2012}, pages = {42-42}, keywords = {modular forms, Atkin and Swinnerton-Dyer congruences, de Rham}, isbn = {037-0372781-2821}, title = {Modular forms, de Rham cohomology and congruences}, keyword = {modular forms, Atkin and Swinnerton-Dyer congruences, de Rham}, publisher = {Fakultet za matematiku Sveu\v{c}ili\v{s}ta u Rijeci}, publisherplace = {Rijeka, Hrvatska} }

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