KOBV Portal

1

Online Resource

Minimizing representations over number fields

Fieker, Claus

Elsevier BV ; 2004

In: Journal of Symbolic Computation Vol. 38, No. 1 ( 2004-07), p. 833-842

add to watchlist on the watchlist

Details

In: Journal of Symbolic Computation, Elsevier BV, Vol. 38, No. 1 ( 2004-07), p. 833-842

Type of Medium: Online Resource

ISSN: 0747-7171

URL: Article

DOI: 10.1016/j.jsc.2004.03.001

Language: English

Publisher: Elsevier BV

Publication Date: 2004

detail.hit.zdb_id: 1470813-9

SSG: 17,1

Bookmarklink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Online Resource

Open Access Request

Availability (electronic / print)

Link to publisher

2

Online Resource

Computing splitting fields using Galois theory and other Galois constructions

Fieker, Claus ; Sutherland, Nicole

Elsevier BV ; 2023

In: Journal of Symbolic Computation Vol. 116 ( 2023-05), p. 243-262

add to watchlist on the watchlist

Details

In: Journal of Symbolic Computation, Elsevier BV, Vol. 116 ( 2023-05), p. 243-262

Type of Medium: Online Resource

ISSN: 0747-7171

URL: Article

DOI: 10.1016/j.jsc.2022.10.001

Language: English

Publisher: Elsevier BV

Publication Date: 2023

detail.hit.zdb_id: 1470813-9

SSG: 17,1

Bookmarklink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Online Resource

Open Access Request

Availability (electronic / print)

Link to publisher

3

Online Resource

On the construction of class fields

Fieker, Claus ; Hofmann, Tommy ; Sircana, Carlo

Mathematical Sciences Publishers ; 2019

In: The Open Book Series Vol. 2, No. 1 ( 2019-1-28), p. 239-255

add to watchlist on the watchlist

Details

In: The Open Book Series, Mathematical Sciences Publishers, Vol. 2, No. 1 ( 2019-1-28), p. 239-255

Type of Medium: Online Resource

ISSN: 2329-907X , 2329-9061

URL: Issue

URL: Journal

URL: Article

DOI: 10.2140/obs.2019.2-1

DOI: 10.2140/obs

DOI: 10.2140/obs.2019.2.239

Language: English

Publisher: Mathematical Sciences Publishers

Publication Date: 2019

Bookmarklink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Online Resource

Open Access Request

Availability (electronic / print)

Link to publisher

4

Online Resource

Improved techniques for computing the ideal class group and a system of fundamental units in number fields

Biasse, Jean-François ; Fieker, Claus

Mathematical Sciences Publishers ; 2013

In: The Open Book Series Vol. 1, No. 1 ( 2013-11-14), p. 113-133

add to watchlist on the watchlist

Details

In: The Open Book Series, Mathematical Sciences Publishers, Vol. 1, No. 1 ( 2013-11-14), p. 113-133

Type of Medium: Online Resource

ISSN: 2329-907X , 2329-9061

URL: Issue

URL: Journal

URL: Article

DOI: 10.2140/obs.2013.1-1

DOI: 10.2140/obs

DOI: 10.2140/obs.2013.1.113

Language: English

Publisher: Mathematical Sciences Publishers

Publication Date: 2013

Bookmarklink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Online Resource

Open Access Request

Availability (electronic / print)

Link to publisher

5

Online Resource

Computing equations of curves with many points

Ducet, Virgile ; Fieker, Claus

Mathematical Sciences Publishers ; 2013

In: The Open Book Series Vol. 1, No. 1 ( 2013-11-14), p. 317-334

add to watchlist on the watchlist

Details

In: The Open Book Series, Mathematical Sciences Publishers, Vol. 1, No. 1 ( 2013-11-14), p. 317-334

Type of Medium: Online Resource

ISSN: 2329-907X , 2329-9061

URL: Issue

URL: Journal

URL: Article

DOI: 10.2140/obs.2013.1-1

DOI: 10.2140/obs

DOI: 10.2140/obs.2013.1.317

Language: English

Publisher: Mathematical Sciences Publishers

Publication Date: 2013

Bookmarklink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Online Resource

Open Access Request

Availability (electronic / print)

Link to publisher

6

Online Resource

Norm relations and computational problems in number fields

Biasse, Jean‐François ; Fieker, Claus ; Hofmann, Tommy ; [et al.]

Wiley ; 2022

In: Journal of the London Mathematical Society Vol. 105, No. 4 ( 2022-06), p. 2373-2414

add to watchlist on the watchlist

Details

In: Journal of the London Mathematical Society, Wiley, Vol. 105, No. 4 ( 2022-06), p. 2373-2414

Type of Medium: Online Resource

ISSN: 0024-6107 , 1469-7750

URL: Issue

URL: Article

DOI: 10.1112/jlms.v105.4

DOI: 10.1112/jlms.12563

Language: English

Publisher: Wiley

Publication Date: 2022

detail.hit.zdb_id: 1476428-3

SSG: 17,1

Bookmarklink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Online Resource

Open Access Request

Availability (electronic / print)

Link to publisher

7

Online Resource

Feynman integral reduction using Gröbner bases

Barakat, Mohamed ; Brüser, Robin ; Fieker, Claus ; [et al.]

Springer Science and Business Media LLC ; 2023

In: Journal of High Energy Physics Vol. 2023, No. 5 ( 2023-05-19)

add to watchlist on the watchlist

Details

In: Journal of High Energy Physics, Springer Science and Business Media LLC, Vol. 2023, No. 5 ( 2023-05-19)

Abstract: We investigate the reduction of Feynman integrals to master integrals using Gröbner bases in a rational double-shift algebra Y in which the integration-by-parts (IBP) relations form a left ideal. The problem of reducing a given family of integrals to master integrals can then be solved once and for all by computing the Gröbner basis of the left ideal formed by the IBP relations. We demonstrate this explicitly for several examples. We introduce so-called first-order normal-form IBP relations which we obtain by reducing the shift operators in Y modulo the Gröbner basis of the left ideal of IBP relations. For more complicated cases, where the Gröbner basis is computationally expensive, we develop an ansatz based on linear algebra over a function field to obtain the normal-form IBP relations.

Type of Medium: Online Resource

ISSN: 1029-8479

URL: Article

DOI: 10.1007/JHEP05(2023)168

Language: English

Publisher: Springer Science and Business Media LLC

Publication Date: 2023

detail.hit.zdb_id: 2027350-2

Bookmarklink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Online Resource

Open Access Request

Availability (electronic / print)

Link to publisher

8

Online Resource

On the computation of the endomorphism rings of abelian surfaces

Fieker, Claus ; Hofmann, Tommy ; Sanon, Sogo Pierre

Elsevier BV ; 2021

In: Journal of Number Theory Vol. 229 ( 2021-12), p. 39-52

add to watchlist on the watchlist

Details

In: Journal of Number Theory, Elsevier BV, Vol. 229 ( 2021-12), p. 39-52

Type of Medium: Online Resource

ISSN: 0022-314X

URL: Article

DOI: 10.1016/j.jnt.2021.04.024

Language: English

Publisher: Elsevier BV

Publication Date: 2021

detail.hit.zdb_id: 1469778-6

Bookmarklink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Online Resource

Open Access Request

Availability (electronic / print)

Link to publisher

9

Online Resource

A lower regulator bound for number fields

Fieker, Claus ; Pohst, Michael E.

Elsevier BV ; 2008

In: Journal of Number Theory Vol. 128, No. 10 ( 2008-10), p. 2767-2775

add to watchlist on the watchlist

Details

In: Journal of Number Theory, Elsevier BV, Vol. 128, No. 10 ( 2008-10), p. 2767-2775

Type of Medium: Online Resource

ISSN: 0022-314X

URL: Article

DOI: 10.1016/j.jnt.2008.04.005

Language: English

Publisher: Elsevier BV

Publication Date: 2008

detail.hit.zdb_id: 1469778-6

Bookmarklink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Online Resource

Open Access Request

Availability (electronic / print)

Link to publisher

10

Online Resource

Minimal discriminants for fields with small Frobenius groups as Galois groups

Fieker, Claus ; Klüners, Jürgen

Elsevier BV ; 2003

In: Journal of Number Theory Vol. 99, No. 2 ( 2003-04), p. 318-337

add to watchlist on the watchlist

Details

In: Journal of Number Theory, Elsevier BV, Vol. 99, No. 2 ( 2003-04), p. 318-337

Type of Medium: Online Resource

ISSN: 0022-314X

URL: Article

DOI: 10.1016/S0022-314X(02)00071-9

Language: English

Publisher: Elsevier BV

Publication Date: 2003

detail.hit.zdb_id: 1469778-6

Bookmarklink

Library	Location	Call Number	Volume/Issue/Year	Availability

Others were also interested in ...

Online Resource

Open Access Request

Availability (electronic / print)

Link to publisher

Kooperativer Bibliotheksverbund

Berlin Brandenburg