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Experimental Mathematics Volume 14, 2005 - Issue 4
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Original Article

Explicit Computations of Hilbert Modular Forms on ℚ(√5)

Lassina Dembélé Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N.W., Calgary, AB, T2N 1N4 Canada
Pages 457-466 | Published online: 30 Jan 2011

Citations (18)

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Read on this site (2)

Christopher Birkbeck. (2021) Slopes of Overconvergent Hilbert Modular Forms. Experimental Mathematics 30:3, pages 295-314.
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PaulE. Gunnells, Farshid Hajir & Dan Yasaki. (2013) Modular Forms and Elliptic Curves over the Field of Fifth Roots of Unity. Experimental Mathematics 22:2, pages 203-216.
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Articles from other publishers (16)

Christopher Birkbeck. (2020) 2‐adic slopes of Hilbert modular forms over Q(5). Bulletin of the London Mathematical Society 52:4, pages 716-729.
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LASSINA DEMBÉLÉ, FRED DIAMOND & DAVID P. ROBERTS. (2016) SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS. Forum of Mathematics, Sigma 4.
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Richard A. Moy & Joel Specter. (2015) There Exist Non-CM Hilbert Modular Forms of Partial Weight 1: Table 1.. International Mathematics Research Notices 2015:24, pages 13047-13061.
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Nicolás Sirolli. (2014) Preimages for the Shimura map on Hilbert modular forms. Journal of Number Theory 145, pages 79-98.
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Debargha Banerjee. (2014) Differential modular forms on Shimura curves over totally real fields. Journal of Number Theory 135, pages 353-373.
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David Loeffler. 2014. Computations with Modular Forms. Computations with Modular Forms 47 68 .
Dan Yasaki. 2014. Computations with Modular Forms. Computations with Modular Forms 363 376 .
John Voight & John Willis. 2014. Computations with Modular Forms. Computations with Modular Forms 331 361 .
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.
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PAUL E. GUNNELLS & DAN YASAKI. (2012) MODULAR FORMS AND ELLIPTIC CURVES OVER THE CUBIC FIELD OF DISCRIMINANT –23. International Journal of Number Theory 09:01, pages 53-76.
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Lassina Dembélé, Matthew Greenberg & John Voight. (2011) Nonsolvable number fields ramified only at 3 and 5. Compositio Mathematica 147:3, pages 716-734.
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John Voight. 2010. Algorithmic Number Theory. Algorithmic Number Theory 357 371 .
Dan Yasaki. (2009) Binary Hermitian forms over a cyclotomic field. Journal of Algebra 322:11, pages 4132-4142.
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Michael M. Schein. (2008) Weights in Serre?s conjecture for Hilbert modular forms: The ramified case. Israel Journal of Mathematics 166:1, pages 369-391.
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Paul E. Gunnells & Dan Yasaki. 2008. Algorithmic Number Theory. Algorithmic Number Theory 387 401 .
Lassina Dembélé & Steve Donnelly. 2008. Algorithmic Number Theory. Algorithmic Number Theory 371 386 .

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