Publications and Preprints

JJ. Chi-Domínguez, A. Pizarro-Madariaga and E. Riquelme, Computing Quotient Groups of Smooth Order with Applications to Isogenies over Higher-Dimensional Abelian Varieties (submitted) https://eprint.iacr.org/2023/508

Yu. Bilu, F. Luca and A.Pizarro-Madariaga, Trinomials, singular moduli and Riffaut's conjecture.  Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XXIII (2022), 2003-2048 https://arxiv.org/abs/2003.06547

A. Pizarro-Madariaga, Irreducible characters with bounded root Artin conductor. Algebra and Number Theory 13
(2019), no. 9, 1997–2004. arXiv:1702.01883

T. Komatsu, A. Pizarro-Madariaga, Harmonic numbers associated with inversion numbers in terms of determinants.  Turkish Journal of Mathematics 43 (2019): 340-354 

Yu. Bilu, T. Komatsu, F. Luca, A. Pizarro-Madariaga, P. Stanica, On a divisibility relation for Lucas sequences. J. Number Theory 163 (2016), 1-18. http://arxiv.org/abs/1511.01970

Yu. Bilu, F. Luca and A.Pizarro-Madariaga, Rational Products of Singular Moduli. J. Number Theory 158 (2016), 397–410. http://arxiv.org/abs/1410.1806

J.Cilleruelo, F. Luca and A.Pizarro-Madariaga, Carmichael Numbers in the sequence {2^nk+1}n>1. Math. Comp.85 (2016), no. 297, 357–377. http://arxiv.org/abs/1305.3580v1

B.Allombert, Yu. Bilu and A. Pizarro-Madariaga, CM-Points on Straight Lines. "Analytic Number Theory". In honor of Helmut Maier’s 60th birthday, Springer, New York, 2015. http://arxiv.org/abs/1406.1274

F.Luca, R. Menares and A. Pizarro-Madariaga, On shifted primes with large factors and their products. Bull. Belg. Math. Soc. Simon Stevin 22 (2015) no. 1, 39-47. http://arxiv.org/abs/1311.2527v1

F.Luca, C.Pomerance and A.Pizarro-Madariaga, A counting function of irregular primes. Indagationes Mathematicae 26 (2015) no. 1 , 147–161. 

F. Luca and A. Pizarro-Madariaga, Some remarks on the Riemann zeta function and prime factors of numerators of Bernoulli numbers. Bulletin of the Australian Mathematical Society, 86 (2012), pp 216-223. 

A. Pizarro-Madariaga, Lower bound for the Artin Conductor. Math. Comp. 80 (2011), no. 273, 539-561.