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Elliptic curves over real quadratic fields are modular

Inventiones mathematicae, 2014-11, Vol.201 (1), p.159-206

2014

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Recipes to Fermat-type equations of the form $$x^r + y^r =Cz^p$$ x r + y r = C z p

Mathematische Zeitschrift, 2015-04, Vol.279 (3-4), p.605-639

Freitas, Nuno

2015

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A multi-Frey approach to Fermat equations of signature (r,r,p)

Transactions of the American Mathematical Society, 2019, Vol.371 (12), p.8651-8677

2019

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Automatic detection of small bowel tumors in wireless capsule endoscopy images using ensemble learning

Medical physics (Lancaster), 2020-01, Vol.47 (1), p.52-63

2020

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Multi-pathology detection and lesion localization in WCE videos by using the instance segmentation approach

Artificial intelligence in medicine, 2021-09, Vol.119, p.102141-102141, Article 102141

2021

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Multiple mask and boundary scoring R-CNN with cGAN data augmentation for bladder tumor segmentation in WLC videos

Artificial intelligence in medicine, 2024-01, Vol.147, p.102723-102723, Article 102723

2024

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Detection of bladder cancer with feature fusion, transfer learning and CapsNets

Artificial intelligence in medicine, 2022-04, Vol.126, p.102275-102275, Article 102275

2022

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Automatic T1 bladder tumor detection by using wavelet analysis in cystoscopy images

Physics in medicine & biology, 2018-02, Vol.63 (3), p.035031-035031

2018

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A result on the equation x^p + y^p = z^r using Frey abelian varieties

Proceedings of the American Mathematical Society, 2017-10, Vol.145 (10), p.4111-4117, Article 4111

2017

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On the Fermat-type equation

Commentarii mathematici Helvetici, 2016, Vol.91 (2), p.295

Freitas, Nuno

2016

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Two results on ^{ }+ ^{ }= ^{ }

Proceedings of the American Mathematical Society, 2023-11

2023

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The Fermat-type equations x^5 + y^5 = 2z^p or 3z^p solved through \mathbb{Q}-curves

Mathematics of computation, 2014-04, Vol.83 (286), p.917-933

2014

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Deep Edge Detection Methods for the Automatic Calculation of the Breast Contour

Bioengineering (Basel), 2023-03, Vol.10 (4), p.401

2023

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The asymptotic Fermat’s Last Theorem for five-sixths of real quadratic fields

Compositio mathematica, 2015-08, Vol.151 (8), p.1395-1415

2015

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On the symplectic type of isomorphisms of the -torsion of elliptic curves

Memoirs of the American Mathematical Society, 2022-05, Vol.277 (1361)

2022

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Anatomical and physico-mechanical characteristics of Cenostigma pluviosum var. pelthophoroides (Fabaceae) wood decayed by Ganoderma australe (Basidiomycota, Polyporales)

Lilloa, 2022-12, Vol.59 (2), p.285-300

2022

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Class field theory, Diophantine analysis and the asymptotic Fermat's Last Theorem

Advances in mathematics (New York. 1965), 2020-03, Vol.363, p.106964, Article 106964

2020

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Local criteria for the unit equation and the asymptotic Fermat's Last Theorem

Proceedings of the National Academy of Sciences - PNAS, 2021-03, Vol.118 (12)

2021

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On the degree of the $p$-torsion field of elliptic curves over $\mathbb Q_\ell $ for $\ell \not =p

Acta arithmetica, 2020, Vol.195 (1), p.13-55

2020

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On Darmon’s program for the generalized Fermat equation, II

Mathematics of computation, 2024-09

2024

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On the Fermat-type equation $x^3 + y^3 = z^p

Commentarii mathematici Helvetici, 2016-04, Vol.91 (2), p.295-304

Freitas, Nuno

2016

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Fermat’s last theorem over some small real quadratic fields

Algebra & Number Theory, 2015-01, Vol.9 (4), p.875-895

2015

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Recipes to Fermat-type equations of the form xr+yr=Czp

Mathematische Zeitschrift, 2015, Vol.279 (3-4), p.605-639

Freitas, Nuno

2015

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Criteria for Irreducibility of mod p Representations of Frey Curves

Journal de theorie des nombres de bordeaux, 2015, Vol.27 (1), p.67-76

2015

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An application of the symplectic argument to some Fermat-type equations

Comptes rendus. Mathématique, 2016-08, Vol.354 (8), p.751-755

2016

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Elliptic curves over real quadratic fields are modular

Recipes to Fermat-type equations of the form $$x^r + y^r =Cz^p$$ x r + y r = C z p

A multi-Frey approach to Fermat equations of signature (r,r,p)

Automatic detection of small bowel tumors in wireless capsule endoscopy images using ensemble learning

Multi-pathology detection and lesion localization in WCE videos by using the instance segmentation approach

Multiple mask and boundary scoring R-CNN with cGAN data augmentation for bladder tumor segmentation in WLC videos

Detection of bladder cancer with feature fusion, transfer learning and CapsNets

Automatic T1 bladder tumor detection by using wavelet analysis in cystoscopy images

A result on the equation x^p + y^p = z^r using Frey abelian varieties

On the Fermat-type equation

Two results on ^{ }+ ^{ }= ^{ }

The Fermat-type equations x^5 + y^5 = 2z^p or 3z^p solved through \mathbb{Q}-curves

Deep Edge Detection Methods for the Automatic Calculation of the Breast Contour

The asymptotic Fermat’s Last Theorem for five-sixths of real quadratic fields

On the symplectic type of isomorphisms of the -torsion of elliptic curves

Anatomical and physico-mechanical characteristics of Cenostigma pluviosum var. pelthophoroides (Fabaceae) wood decayed by Ganoderma australe (Basidiomycota, Polyporales)

Class field theory, Diophantine analysis and the asymptotic Fermat's Last Theorem

Local criteria for the unit equation and the asymptotic Fermat's Last Theorem

On the degree of the $p$-torsion field of elliptic curves over $\mathbb Q_\ell $ for $\ell \not =p

On Darmon’s program for the generalized Fermat equation, II

On the Fermat-type equation $x^3 + y^3 = z^p

Fermat’s last theorem over some small real quadratic fields

Recipes to Fermat-type equations of the form xr+yr=Czp

Criteria for Irreducibility of mod p Representations of Frey Curves

An application of the symplectic argument to some Fermat-type equations

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