Advanced search
Publication Cover
Experimental Mathematics Volume 13, 2004 - Issue 2
Submit an article Journal homepage
43
Views
43
CrossRef citations to date
0
Altmetric
Original Articles

Computing Special Values of Motivic L-Functions

Tim Dokchitser Department of Math. Sciences, University of Durham, Durham, DH1 3LE, United Kingdom E-mail: [email protected]
Pages 137-149 | Published online: 03 Apr 2012

Citations (43)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (6)

Raymond van Bommel. (2022) Numerical Verification of the Birch and Swinnerton-Dyer Conjecture for Hyperelliptic Curves of Higher Genus over ℚ up to Squares. Experimental Mathematics 31:1, pages 138-145.
Read now
Jonas Bergström, Neil Dummigan, Thomas Mégarbané, Tomoyoshi Ibukiyama & Hidenori Katsurada. (2018) Eisenstein Congruences for SO(4, 3), SO(4, 4), Spinor, and Triple Product L-values. Experimental Mathematics 27:2, pages 230-250.
Read now
Michel Börner, Irene I. Bouw & Stefan Wewers. (2017) The Functional Equation for L-Functions of Hyperelliptic Curves. Experimental Mathematics 26:4, pages 396-411.
Read now
Jack Fearnley & Hershy Kisilevsky. (2012) Critical Values of Higher Derivatives of Twisted Elliptic L-Functions. Experimental Mathematics 21:3, pages 213-222.
Read now
Werner Bley. (2011) Numerical Evidence for the Equivariant Birch and Swinnerton-Dyer Conjecture. Experimental Mathematics 20:4, pages 426-456.
Read now
Andreas-Stephan Elsenhans. (2011) Rational Points on Some Fano Quadratic Bundles. Experimental Mathematics 20:4, pages 373-379.
Read now

Articles from other publishers (37)

Sachi Hashimoto. (2023) Quadratic Chabauty and 𝑝-adic Gross–Zagier. Transactions of the American Mathematical Society 376:5, pages 3725-3760.
Crossref
Vasily Golyshev. (2023) On L -derivatives and biextensions of Calabi–Yau motives . Experimental Results 4.
Crossref
Henri Cohen. 2023. Mathematics Going Forward. Mathematics Going Forward 561 578 .
Nikola Adžaga, Shiva Chidambaram, Timo Keller & Oana Padurariu. (2022) Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings. Research in Number Theory 8:4.
Crossref
Nikolaos Diamantis & Fredrik Strömberg. (2022) Derivatives of L-series of weakly holomorphic cusp forms. Research in the Mathematical Sciences 9:4.
Crossref
NEIL DUMMIGAN. (2021) CONGRUENCES OF SAITO–KUROKAWA LIFTS AND DENOMINATORS OF CENTRAL SPINOR L -VALUES . Glasgow Mathematical Journal 64:2, pages 504-525.
Crossref
Josha Box. (2022) Elliptic curves over totally real quartic fields not containing √5 are modular. Transactions of the American Mathematical Society.
Crossref
Stevan Gajović. 2021. Arithmetic Geometry, Number Theory, and Computation. Arithmetic Geometry, Number Theory, and Computation 461 484 .
Jim Brown & Krzysztof Klosin. (2020) Congruence primes for automorphic forms on unitary groups and applications to the arithmetic of Ikeda lifts. Kyoto Journal of Mathematics 60:1.
Crossref
Shih-Yu Chen. (2019) Pullback formulae for nearly holomorphic Saito–Kurokawa lifts. manuscripta mathematica 161:3-4, pages 501-561.
Crossref
David Loeffler & Sarah Livia Zerbes. (2019) Iwasawa theory for the symmetric square of a modular form. Journal für die reine und angewandte Mathematik (Crelles Journal) 2019:752, pages 179-210.
Crossref
Henri Cohen. 2019. Notes from the International Autumn School on Computational Number Theory. Notes from the International Autumn School on Computational Number Theory 171 266 .
David Broadhurst & David P. Roberts. 2019. 2017 MATRIX Annals. 2017 MATRIX Annals 401 403 .
Andrew R. Booker & Holger Then. (2018) Rapid computation of L-functions attached to Maass forms. International Journal of Number Theory 14:05, pages 1459-1485.
Crossref
David BurnsDaniel Macias Castillo & Christian Wuthrich. (2018) On Mordell–Weil groups and congruences between derivatives of twisted Hasse–Weil L -functions . Journal für die reine und angewandte Mathematik (Crelles Journal) 2018:734, pages 187-228.
Crossref
Werner Bley & Daniel Macias Castillo. (2017) Congruences for critical values of higher derivatives of twisted Hasse–Weil L -functions . Journal für die reine und angewandte Mathematik (Crelles Journal) 2017:722, pages 105-135.
Crossref
IRENE I. BOUW & STEFAN WEWERS. (2016) COMPUTING L -FUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES . Glasgow Mathematical Journal 59:1, pages 77-108.
Crossref
Andrew R. Booker, Jeroen Sijsling, Andrew V. Sutherland, John Voight & Dan Yasaki. (2016) A database of genus-2 curves over the rational numbers. LMS Journal of Computation and Mathematics 19:A, pages 235-254.
Crossref
Hiraku Atobe. (2015) Pullbacks of Hermitian Maass lifts. Journal of Number Theory 153, pages 158-229.
Crossref
David W. Farmer & Nathan C. Ryan. (2014) Evaluating -functions with few known coefficients. LMS Journal of Computation and Mathematics 17:1, pages 245-258.
Crossref
Jonathan Bober, Alyson Deines, Ariah Klages-Mundt, Benjamin LeVeque, Andrew Ohana, Ashwath Rabindranath, Paul Sharaba & William Stein. (2013) A database of elliptic curves over ℚ( √5): a first report. The Open Book Series 1:1, pages 145-166.
Crossref
Robert Bradshaw & William Stein. (2012) Heegner points and the arithmetic of elliptic curves over ring class extensions. Journal of Number Theory 132:8, pages 1707-1719.
Crossref
Hershy Kisilevsky. 2012. Number Theory, Analysis and Geometry. Number Theory, Analysis and Geometry 369 383 .
Bernhard Heim. 2012. Multiple Dirichlet Series, L-functions and Automorphic Forms. Multiple Dirichlet Series, L-functions and Automorphic Forms 173 191 .
XANDER FABER, BENJAMIN HUTZ & MICHAEL STOLL. (2012) ON THE NUMBER OF RATIONAL ITERATED PREIMAGES OF THE ORIGIN UNDER QUADRATIC DYNAMICAL SYSTEMS. International Journal of Number Theory 07:07, pages 1781-1806.
Crossref
NATHAN C. RYAN & GONZALO TORNARÍA. (2011) A BÖCHERER-TYPE CONJECTURE FOR PARAMODULAR FORMS. International Journal of Number Theory 07:05, pages 1395-1411.
Crossref
Markus Kirschmer & John Voight. (2010) Algorithmic Enumeration of Ideal Classes for Quaternion Orders. SIAM Journal on Computing 39:5, pages 1714-1747.
Crossref
Tobias Berger. (2009) On the Eisenstein ideal for imaginary quadratic fields. Compositio Mathematica 145:03, pages 603-632.
Crossref
Dimitar Jetchev, Kristin Lauter & William Stein. (2009) Explicit Heegner points: Kolyvagin's conjecture and non-trivial elements in the Shafarevich–Tate group. Journal of Number Theory 129:2, pages 284-302.
Crossref
Takeo Okazaki & Takuya Yamauchi. (2008) A Siegel modular threefold and Saito-Kurokawa type lift to S 3(Γ1,3(2)). Mathematische Annalen 341:3, pages 589-601.
Crossref
Michael Stoll. (2010) Rational 6-Cycles Under Iteration of Quadratic Polynomials. LMS Journal of Computation and Mathematics 11, pages 367-380.
Crossref
Tejaswi Navilarekallu. (2008) Equivariant Birch–Swinnerton–Dyer Conjecture for the Base Change of Elliptic Curves: An Example. International Mathematics Research Notices 2008.
Crossref
Kiran S. Kedlaya & Andrew V. Sutherland. 2008. Algorithmic Number Theory. Algorithmic Number Theory 312 326 .
C. Bauer & Y. Wang. (2007) Real zeros of Eisenstein series and Rankin-Selberg L-functions. Acta Mathematica Hungarica 115:1-2, pages 13-27.
Crossref
T. Dokchitser, V. Dokchitser, J. Coates & R. Sujatha. (2007) Computations in non-commutative Iwasawa theory. Proceedings of the London Mathematical Society 94:1, pages 211-272.
Crossref
Phil Martin & Mark Watkins. 2006. Algorithmic Number Theory. Algorithmic Number Theory 377 392 .
Atsushi Ichino. (2005) Pullbacks of Saito-Kurokawa lifts. Inventiones mathematicae 162:3, pages 551-647.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.