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Number Theory

Zeta and L-functions: Analytic Theory

11Mxx

[1] P. Borwein, G. Fee, R. Ferguson, and A. van der Waall. Zeros of partial sums of the Riemann zeta function. Experiment. Math., 16(1):21–39, 2007.
[2] B. Conrad, K. Conrad, and H. Helfgott. Root numbers and ranks in positive characteristic. Adv. Math., 198(2):684–731, 2005.
[3] M. P. F. du Sautoy, J. J. McDermott, and G. C. Smith. Zeta functions of crystallographic groups and analytic continuation. Proc. London Math. Soc. (3), 79(3):511–534, 1999.
[4] Marcus du Sautoy and Luke Woodward. Nilpotent groups: Explicit examples. In Zeta Functions of Groups and Rings, volume 1925/2008 of Lecture Notes in Computer Science, pages 21–68. Springer Berlin / Heidelberg, 2008.
[5] Ralf Gerkmann. Relative rigid cohomology and deformation of hypersurfaces. Int. Math. Res. Pap. IMRP, (1):Art. ID rpm003, 67, 2007.
[6] Kiran S. Kedlaya and Andrew V. Sutherland. Computing L-series of hyperelliptic curves. In Algorithmic Number Theory, volume 5011 of Lecture Notes in Computer Science, pages 312–326. 2008.
[7] Emmanuel Kowalski. The large sieve, monodromy, and zeta functions of algebraic curves. II. Independence of the zeros. Int. Math. Res. Not. IMRN, pages Art. ID rnn 091, 57, 2008.
[8] Alan G. B. Lauder. A recursive method for computing zeta functions of varieties. LMS J. Comput. Math., 9:222–269 (electronic), 2006.
[9] Phil Martin and Mark Watkins. Symmetric powers of elliptic curve L-functions. In Algorithmic number theory, volume 4076 of Lecture Notes in Comput. Sci., pages 377–392. Springer, Berlin, 2006.
[10] Christopher Voll. Normal subgroup growth in free class-2-nilpotent groups. Math. Ann., 332(1):67–79, 2005.

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