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• Author = Watkins M     [web profile page]

1. Watkins M
Mark Watkins: Distribution of the 2-Selmer rank under twisting, Publications Mathematiques de Besancon - Algebre et Theorie des Nombres, 2022 (2022),

2. Watkins M
Mark Watkins: Comments on Deuring's zero-spacing phenomenon, Journal of Number Theory, 218 (2021), 1–43.

3. Watkins M
Mark Watkins: A spectral proof of class number one, Mathematische Zeitschrift, 293 (2019), no. 1-2, 383–406. MR4002281

4. Watkins M
M. Watkins: Class number one from analytic rank two, Mathematika, 65 (2019), no. 2, 333–374. MR3896132

5. Watkins M
M. Watkins: Jacobi sums and Grössencharacters, Publications mathématiques de Besançon, 2018 (2018), 111–122. MR3838691

6. Watkins M
Mark Watkins: Losing Chess: 1. E3 Wins for White, ICGA Journal, 39 (2017), no. 2, 123–125.

7. Watkins M, Donnelly S, Elkies ND, Fisher T, Granville A, Rogers NF
M. Watkins, S. Donnelly, N. D. Elkies, T. Fisher, A. Granville, N. F. Rogers: Ranks of elliptic curves in quadratic twist families, Publications mathématiques de Besan\con, 2014/2 (2014), 63–98. MR3381037

8. Watkins M
M. Watkins: Solved openings in Losing Chess, ICGA Journal, 37 (2014), no. 2, 106–110.

9. Dailey D, Hair A, Watkins M
D Dailey, A Hair, M Watkins: Move similarity analysis in chess programs, Entertainment Computing, 5 (2014), no. 3, 159–171.

10. Villegas FR, Roberts D, Watkins M
F. Rodriguez Villegas, D. Roberts, M. Watkins and others: Hypergeometric Motives, Explicit Methods in Number Theory, Explicit Methods in Number Theory, K. Belabas, B. Poonen, D. B. Zagier (eds.), Oberwolfach Reports, European Mathematical Society Publishing House, Zürich, (2013), 2039–2041. ISBN 1660-8933.

11. Watkins M
M. Watkins: Some remarks on Heegner point computations, Explicit Methods in Number Theory, Panoramas et Synthèses, Société Mathématique de France, Paris, France, (2012), 81–97. ISBN 1272-3835. MR3098131

12. Watkins M
Mark Watkins: Another 80-dimensional extremal lattice, Journal de theorie des nombres de Bordeaux, 24 (2012), no. 1, 237–255. MR2914908

13. Watkins M, Granville A
M. Watkins, A. Granville: Rank 7 quadratic twist(s) of the congruent number curve, Explicit Methods in Number Theory, Explicit Methods in Number Theory, K. Belabas, H. W. Lenstra Jr., D. B. Zagier (eds.), Oberwolfach Reports, European Mathematical Society, Basel, (2011), 2022–2024. ISBN 1660-8933.

14. Watkins M
M. Watkins: Some Comments about Indefinite LLL, Diophantine Methods, Lattics, and Arithmetic Theory of Quadratic Forms, Diophantine Methods, Lattics, and Arithmetic Theory of Quadratic Forms, W. K. Chan, L. Fukshansky, R. Schulze-Pillot, J. D. Vaaler (eds.), Contemporary Mathematics, AMS, Providence, RI, (2011), 233–243. ISBN 0271-4132. MR3074817

15. Watkins M
Mark Watkins: Computing with Hecke Grossencharacters, Publications Mathematiques de Besancon, 2011 (2011), 119–135.

16. Hart WB, Tornaria G, Watkins M
William B Hart, Gonzalo Tornaria and Mark Watkins: Congruent number Theta coefficients to \(10^{12}\), Lecture Notes in Computer Science, 6197 (2010), 186–200.

17. Stehlé D, Watkins M
Damien Stehlé and Mark Watkins: On the extremality of an 80-dimensional Lattice, Lecture Notes in Computer Science, 6197 (2010), 340–356.

18. Cannon JJ, Donnelly S, Fieker C, Watkins M
John Cannon, Steve Donnelly, Claus Fieker and Mark Watkins: Magma - A tool for number theory, Lecture Notes in Computer Science, 6327 (2010), 253–255.

19. Watkins M
M. Watkins: On the extremality of an 80-dimensional lattice, Explicit Methods in Number Theory, Explicit Methods in Number Theory, K. Belabas, H. W. Lenstra Jr., D. B. Zagier (eds.), European Mathematical Society Publishing House, Zürich, (2009), 1886–1889. ISBN 1660-8933.

20. Dummigan N, Martin P, Watkins M
Neil Dummigan, Phil Martin and Mark Watkins: Euler factors and local root numbers for symmetric powers of elliptic curves, Pure and Applied Mathematics, Quarterly, 5 (2009), no. 4, 1311–1341. MR2560318

21. Dummigan N, Watkins M
Neil Dummigan and Mark Watkins: Critical values of symmetric power \(L\)-functions, Pure and Applied Mathematics, Quarterly, 5 (2009), no. 1, 127–162.

22. Watkins M
Mark Watkins: Some heuristics about elliptic curves, Experiment. Math., 17 (2008), no. 1, 105–125. MR2410120

23. Martin P, Watkins M
Phil Martin and Mark Watkins: Symmetric powers of elliptic curve L-functions, Algorithmic Number Theory: ANTS-VII, 7th International Symposium, ANTS-VII, Florian Hess, Sebastian Pauli, Michael Post (eds.), Lecture Notes in Computer Science, 4076 Springer-Verlag, Berlin, (2006), 377–392. ISBN 3-540-36075-1. MR2282937