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Number of items: 21.
CONACyT
Luca, Florian and Siksek, Samir (2010) On factorials expressible as sums of at most three Fibonacci numbers. Proceedings of the Edinburgh Mathematical Society, Vol.53 (No.3). pp. 747-763. doi:10.1017/S0013091508000874 ISSN 0013-0915 .
Abu Muriefah, Fadwa S., Luca, Florian, Siksek, Samir and Tengely, Szabolcs (2009) On the diophantine equation x(2) + C=2y(n). International Journal of Number Theory, Vol.5 (No.6). pp. 1117-1128. doi:10.1142/S1793042109002572 ISSN 1793-0421.
EPSRC
Siksek, Samir and Stoll, M. (2012) Partial descent on hyperelliptic curves and the generalized Fermat equation x3+y4+z5=0. Bulletin of the London Mathematical Society , Vol.44 (No.1). pp. 151-166. doi:10.1112/blms/bdr086 ISSN 0024-6093.
Engineering and Physical Sciences Research Council (EPSRC)
Bennett, Michael A., Patel, Vandita and Siksek, Samir (2017) Perfect powers that are sums of consecutive cubes. Mathematika, 63 (1). pp. 230-249. doi:10.1112/S0025579316000231 ISSN 0025-5793.
Siksek, Samir (2016) Every integer greater than 454 is the sum of at most seven positive cubes. Algebra & Number Theory, 10 (10). pp. 2093-2119. doi:10.2140/ant.2016.10.2093 ISSN 1944-7833.
Anni, Samuele and Siksek, Samir (2016) Modular elliptic curves over real abelian fields and the generalized Fermat equation $x^{2\ell}+y^{2m}=z^p$. Algebra & Number Theory, 10 (6). pp. 1147-1172. ISSN 1937-0652.
Bennett, Michael A., Patel, Vandita and Siksek, Samir (2016) Superelliptic equations arising from sums of consecutive powers. Acta Arithmetica, 172 . pp. 377-393. doi:10.4064/aa8305-12-2015 ISSN 0065-1036.
Anni, Samuele, Lemos, Pedro and Siksek, Samir (2016) Residual representations of semistable principally polarized abelian varieties. Research in Number Theory, 2 (1). pp. 1-12. doi:10.1007/s40993-015-0032-4 ISSN 2363-9555.
Deajim, Abdulaziz and Siksek, Samir (2011) On the Q-linear independence of the sums ∑n=1∞σk(n)/n! Journal of Number Theory, Volume 131 (Number 4). pp. 745-749. doi:10.1016/j.jnt.2010.11.009 ISSN 0022-314X.
Luca, Florian and Siksek, Samir (2010) On factorials expressible as sums of at most three Fibonacci numbers. Proceedings of the Edinburgh Mathematical Society, Vol.53 (No.3). pp. 747-763. doi:10.1017/S0013091508000874 ISSN 0013-0915 .
Abu Muriefah, Fadwa S., Luca, Florian, Siksek, Samir and Tengely, Szabolcs (2009) On the diophantine equation x(2) + C=2y(n). International Journal of Number Theory, Vol.5 (No.6). pp. 1117-1128. doi:10.1142/S1793042109002572 ISSN 1793-0421.
Siksek, Samir (2009) Chabauty for symmetric powers of curves. Algebra & Number Theory, Vol.3 (No.2). pp. 209-236. doi:10.2140/ant.2009.3.209 ISSN 1937-0652.
Bright, M. (Martin) and Siksek, Samir (2008) Functions, reciprocity and the obstruction to divisors on curves. Journal of the London Mathematical Society, Vol.77 (Pt.3). pp. 789-807. doi:10.1112/jlms/jdn007 ISSN 0024-6107.
France-Mexico ANUIES-ECOS
Bugeaud, Yann, Luca, Florian, Mignotte, Maurice and Siksek, Samir (2005) ON PERFECT POWERS IN LUCAS SEQUENCES. INTERNATIONAL JOURNAL OF NUMBER THEORY, 1 (3). pp. 309-332. doi:10.1142/S1793042105000236 ISSN 1793-0421.
Marie Curie International
Siksek, Samir (2009) Chabauty for symmetric powers of curves. Algebra & Number Theory, Vol.3 (No.2). pp. 209-236. doi:10.2140/ant.2009.3.209 ISSN 1937-0652.
Marie Curie International Reintegration
Luca, Florian and Siksek, Samir (2010) On factorials expressible as sums of at most three Fibonacci numbers. Proceedings of the Edinburgh Mathematical Society, Vol.53 (No.3). pp. 747-763. doi:10.1017/S0013091508000874 ISSN 0013-0915 .
MarieCurie International Reintegration
Abu Muriefah, Fadwa S., Luca, Florian, Siksek, Samir and Tengely, Szabolcs (2009) On the diophantine equation x(2) + C=2y(n). International Journal of Number Theory, Vol.5 (No.6). pp. 1117-1128. doi:10.1142/S1793042109002572 ISSN 1793-0421.
Natural Sciences and Engineering Research Council of Canada (NSERC)
Bennett, Michael A., Patel, Vandita and Siksek, Samir (2017) Perfect powers that are sums of consecutive cubes. Mathematika, 63 (1). pp. 230-249. doi:10.1112/S0025579316000231 ISSN 0025-5793.
Bennett, Michael A., Patel, Vandita and Siksek, Samir (2016) Superelliptic equations arising from sums of consecutive powers. Acta Arithmetica, 172 . pp. 377-393. doi:10.4064/aa8305-12-2015 ISSN 0065-1036.
Seventh Framework Programme (European Commission) (FP7)
Bright, M. (Martin) and Siksek, Samir (2008) Functions, reciprocity and the obstruction to divisors on curves. Journal of the London Mathematical Society, Vol.77 (Pt.3). pp. 789-807. doi:10.1112/jlms/jdn007 ISSN 0024-6107.
Sultan Qaboos University (Oman)
Bugeaud, Yann, Mignotte, Maurice and Siksek, Samir (2006) Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers. Annals of Mathematics, Vol.163 (No.3). pp. 969-1018. doi:10.4007/annals.2006.163.969 ISSN 0003-486X.
This list was generated on Thu Mar 28 11:56:01 2024 GMT.