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Number Theory

Elementary Number Theory

11Axx except 11A41 and 11A51, 11Cxx

[1] David H. Bailey and Jonathan M. Borwein. Experimental mathematics: Examples, methods and implications. Notices Amer. Math. Soc., 52(5):502–514, 2005.
[2] Wieb Bosma. Some computational experiments in number theory. In Discovering Mathematics with Magma, volume 19 of Algorithms Comput. Math., pages 1–30. Springer, Berlin, 2006.
[3] Richard P. Brent and Paul Zimmermann. Ten new primitive binary trinomials. Math. Comp., 78(266):1197–1199, 2009.
[4] Henri Cohen. A Course in Computational Algebraic Number Theory, volume 138 of Graduate Texts in Mathematics. Springer-Verlag, Berlin, 1993.
[5] Henri Cohen. Advanced Topics in Computational Number Theory, volume 193 of Graduate Texts in Mathematics. Springer-Verlag, New York, 2000.
[6] J. E. Cremona. Unimodular integer circulants. Math. Comp., 77(263):1639–1652, 2008.
[7] Graham Everest and Valery Mahe. A generalization of Siegel's theorem and Hall's conjecture. Exp. Math., 18(1):1–10, 2009.
[8] Sharon Anne Garthwaite. Convolution congruences for the partition function. Proc. Amer. Math. Soc., 135(1):13–20 (electronic), 2007.
[9] Emmanuel Royer. Evaluating convolution sums of the divisor function with quasimodular forms. Int. J. Number Theory, 3(2):231–261, 2007.
[10] J. Sándor and B. Crstici. Handbook of Number Theory II. Kluwer Academic Publishers, Dordrecht, 2004.

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