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papers [2018/09/05 00:21]
admin [In preparation]
papers [2018/10/05 18:36]
admin [Published papers]
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 ===== Published papers ===== ===== Published papers =====
-    - {{:​wiki:​higher_eisenstein_ii_new.pdf |On higher congruences between cusp forms and Eisenstein series II}}, to appear in Notes from the International Autumn School on Computational Number Theory: Izmir Institute of Technology 2017, Springer, 2019+    - {{:​wiki:​higher_eisenstein_ii_new.pdf |On higher congruences between cusp forms and Eisenstein series II}}, to appear in Notes from the International Autumn School on Computational Number Theory: Izmir Institute of Technology 2017, Springer, 2019 ([[http://​arxiv.org/​abs/​1810.02134|preprint version]])
     - [[http://​nyjm.albany.edu/​j/​2016/​22-46.html|Divisibility sequences of polynomials and heights estimates]],​ New York J. Math. 22 (2016) 989–1020. ([[http://​arxiv.org/​abs/​1609.04750|preprint version]])     - [[http://​nyjm.albany.edu/​j/​2016/​22-46.html|Divisibility sequences of polynomials and heights estimates]],​ New York J. Math. 22 (2016) 989–1020. ([[http://​arxiv.org/​abs/​1609.04750|preprint version]])
   - {{:​bnaskrecki_distribution_of_mw_ranks.pdf|Distribution of Mordell-Weil ranks of families of elliptic curves}}, Banach Center Publications 108 (2016), 201-229,​[[https://​www.impan.pl/​pl/​wydawnictwa/​banach-center-publications/​all/​108|DOI:​ 10.4064/​bc108-0-16]] ([[http://​arxiv.org/​abs/​1609.04731|preprint version]])   - {{:​bnaskrecki_distribution_of_mw_ranks.pdf|Distribution of Mordell-Weil ranks of families of elliptic curves}}, Banach Center Publications 108 (2016), 201-229,​[[https://​www.impan.pl/​pl/​wydawnictwa/​banach-center-publications/​all/​108|DOI:​ 10.4064/​bc108-0-16]] ([[http://​arxiv.org/​abs/​1609.04731|preprint version]])
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 ===== In preparation ===== ===== In preparation =====
     - Primitive divisors of elliptic divisiblity sequences over function fields with constant j-invariant,​ with Marco Streng, in preparation     - Primitive divisors of elliptic divisiblity sequences over function fields with constant j-invariant,​ with Marco Streng, in preparation
-    - On realisations of weight 0 hypergeometric motives of small degrees, in preparation+    - On realisations of weight 0 hypergeometric motives of small degrees, in preparation ​(with [[http://​magma.maths.usyd.edu.au/​magma/​handbook/​text/​1516#​17286|Magma package]])
     - {{:​hyper24111.pdf|On a certain hypergeometric motive of weight 2 and rank 3}}, submitted ([[https://​arxiv.org/​abs/​1702.07738|preprint]])     - {{:​hyper24111.pdf|On a certain hypergeometric motive of weight 2 and rank 3}}, submitted ([[https://​arxiv.org/​abs/​1702.07738|preprint]])
     - {{:​genfermat-export.pdf|The generalized Fermat equation with exponents 2, 3, n}}, with Nuno Freitas and Michael Stoll ([[https://​arxiv.org/​abs/​1703.05058|preprint]]),​ submitted. See also a [[http://​www.setforbritain.org.uk/​2017psr/​M-NASKRECKI-3706-PSR.pdf| poster]] for [[http://​www.setforbritain.org.uk/​index.asp | STEM for Britain]]     - {{:​genfermat-export.pdf|The generalized Fermat equation with exponents 2, 3, n}}, with Nuno Freitas and Michael Stoll ([[https://​arxiv.org/​abs/​1703.05058|preprint]]),​ submitted. See also a [[http://​www.setforbritain.org.uk/​2017psr/​M-NASKRECKI-3706-PSR.pdf| poster]] for [[http://​www.setforbritain.org.uk/​index.asp | STEM for Britain]]