A Robust Implementation for Solving the S-Unit Equation and Several Applications A Alvarado, A Koutsianas, B Malmskog, C Rasmussen, C Vincent, M West Arithmetic geometry, number theory, and computation, 1-41, 2021 | 18 | 2021 |
Computing all elliptic curves over an arbitrary number field with prescribed primes of bad reduction A Koutsianas Experimental Mathematics 28 (1), 1-15, 2019 | 18 | 2019 |
Perfect powers that are sums of squares in a three term arithmetic progression A Koutsianas, V Patel International Journal of Number Theory 14 (10), 2729-2735, 2018 | 18 | 2018 |
Conductor and discriminant of Picard curves II Bouw, A Koutsianas, J Sijsling, S Wewers Journal of the London Mathematical Society 102 (1), 368-404, 2020 | 16 | 2020 |
On the solutions of the Diophantine equation for a prime power A Koutsianas arXiv preprint arXiv:1708.00928, 2017 | 8* | 2017 |
Applications of S-unit Equations to the Arithmetic of Elliptic Curves A Koutsianas University of Warwick, 2016 | 7 | 2016 |
The equation MA Bennett, A Koutsianas arXiv preprint arXiv:2006.10349, 2020 | 5 | 2020 |
On the generalized Fermat equation A Koutsianas arXiv preprint arXiv:1805.07127, 2018 | 5 | 2018 |
Perfect powers in sum of three fifth powers P Das, PK Dey, A Koutsianas, N Tzanakis Journal of Number Theory 236, 443-462, 2022 | 3 | 2022 |
An application of the modular method and the symplectic argument to a Lebesgue-Nagell equation A Koutsianas arXiv preprint arXiv:1811.10118, 2018 | 3 | 2018 |
A modular approach to Fermat equations of signature using Frey hyperelliptic curves I Chen, A Koutsianas arXiv preprint arXiv:2210.02316, 2022 | 2 | 2022 |
Weak approximation for 0-cycles on a product of elliptic curves E Gazaki, A Koutsianas Mathematische Annalen 388 (2), 1539-1568, 2024 | | 2024 |
Darmon's Program: A survey I Chen, K Angelos https://drive.google.com/file/d/1UM_4KnwfWZsTfadtM0J0fdPcAECH86jG/view?pli=1, 2023 | | 2023 |
ON THE SOLUTIONS OF THE DIOPHANTINE EQUATION (x-d) ²+ x²+(x+ d) ²= yn FOR d A PRIME POWER. A Koutsianas Functiones et Approximatio Commentarii Mathematici 64 (2), 2021 | | 2021 |
Weak Approximation for zero-cycles on a product of elliptic curves E Gazaki, A Koutsianas 2022 Spring Central Sectional Meeting, 0 | | |