Publications
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A. Alahmadi, F. Luca, On a result of Fujita and Le,
Acta Sci. Math. (Szeged) 88 (2022), 577–580.
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A. Alahmadi, F. Luca,
On the multiplicative independence of the roots of generalized Fibonacci and Pell polynomials,
Int. J. Number Theory 18 (2022), 1887–1894.
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P. Autissier, M. Hindry, F. Pazuki
Regulators of elliptic curves, IMRN, 2021, 976-4993.
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A. Basso, F. Pazuki,
On the supersingular GPST attack, J. Math. Crypto. 16 (2022), 14-19.
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Yu. Bilu,
The Chevalley-Bass Theorem, Essays in Analytic Number Theory In Honor of Helmut Maier’s 70th Birthday, à paraître; arXiv:2305.05041 (2023).
- Yu. Bilu, J. I. Burgos Gil, M. Sombra, La casa de los números pequeños, La Gaceta de la RSME 25 (2022), 557–575.
- Yu. Bilu, S. Gun, H. Hong, Uniform explicit Stewart's theorem on prime factors of linear recurrences, Acta Arith. 206 (2022), 223-243.
- Yu. Bilu, S. Gun, S. L. Naik, On non-Archimedean analogue of Atkin-Serre Question, Math. Ann. (2023).
- Yu. Bilu, H. Hong, F. Luca, Big prime factors in orders of elliptic curves over finite fields, Publ. Math. Debrecen 102 (2023), 459-474.
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Yu. Bilu, F. Luca, J. Nieuwveld, J. Ouaknine, D. Purser, J. Worrell, Skolem Meets Schanuel, 47th International Symposium on Mathematical Foundations of Computer Science, paper No. 20, 15 pp., LIPIcs. Leibniz Int. Proc. Inform., 241, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2022.
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Yu. Bilu, F. Luca, J. Nieuwveld, J. Ouaknine, J. Worrell, On the p-adic zeros of the Tribonacci sequence, Math. Comp. 93 (2024), 1333–1353.
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F. Breuer, F. Pazuki,
Explicit bounds on the coefficients of modular polynomials for the elliptic J-invariant, Proc. Amer. Math. Soc., à paraître.
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F. Breuer, F. Pazuki, M. H. Razafinjatovo,
Heights and isogenies of Drinfeld modules, Acta Arith 197 (2021), 111-128.
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F. Campagna, Effective bounds on differences of singular moduli that are S-units, Math. Proc. Camb. Philos. Soc.,
174 (2023), 415-450.
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F. Campagna, R. Pengo, How big is the image of the Galois representations attached to CM elliptic curves?, Contemp. Math.
779 (2022), 41-56.
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F. Campagna, P. Stevenhagen, Cyclic reduction densities for elliptic curves, Res. Number Theory,
61 (2023), paper 61, 21 pp.
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B. Edixhoven, P. Parent,
Semistable reduction of modular curves associated with maximal subgroups in prime level,
Doc. Math. 26 (2021), 231-269.
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B. Edixhoven, P. Parent,
Regular models of modular curves in prime level over Zpur, Doc. Math. , à paraître;
arxiv:2211.01690 (2022).
- C. A. Gómez, J. C. Gómez, F. Luca,
On the exponential Diophantine equation Fn+1x−Fnx=Fmy,
Taiwanese J. Math. 26 (2022), 685–712.
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R. Griffon, F. Pazuki
Isogenies of elliptic curves over function fields, IMRN, 2022, 14697-14740.
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A. Grebennikov, A. Sagdeev, A. Semchankau,
A. Vasilevskii,
On the sequence n! mod p, Rev. Mat. Iberoamericana 40 (2024), 637–648.
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K. Győry, S. Le Fourn, Improved bounds for some S-unit equations, Acta Arith., à paraître.
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P. Molin, P. Rabarison, F. Pazuki,
Exponentielle tronquée et autres contes galoisiens, Publ. Math. Besançon, GTA2021, à paraître.
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F. Pazuki
Bornes sur le nombre de points rationnels des courbes - en quête d'uniformité, Contemp. Math. 770 (2021), 253-266.
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F. Pazuki
The regulator dominates the rank, Contemp. Math. 779 (2022), 159-165.
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F. Pazuki, R. Pengo,
On the Northcott property for special values of L-functions, Rev. Mat. Iberoam. 40 (2024), 1-42.
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F. Pazuki, N. Technau, M. Widmer,
Northcott numbers for the house and the Weil height, Bull. London Math. Soc. 2022, 54 (2022), 1873-1897.
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F. Pazuki, M. Widmer,
Bertini and Northcott, Res. Number Theory 7 (2021), Paper No. 12, 18 pp.
Prépublications
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B. Anglès, C. Armana, V. Bosser, F. Pazuki,
Drinfeld singular moduli, hyperbolas, units;
arXiv:2404.01075 (2024).
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H. Bambury, F. Campagna, F. Pazuki,
Ordinary isogeny graphs over Fp: the inverse volcano problem; arXiv:2210.01086 (2022).
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Yu. Bilu, F. Luca, J. Nieuwveld, J. Ouaknine, J. Worrell, Twisted rational zeros of linear recurrence sequences, soumis; arXiv:2401.06537
(2024).
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Yu. Bilu, S. Gun, E. Tron,
Effective multiplicative independence of 3 singular moduli, soumis; arXiv:2207.05183 (2022).
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F. Campagna, G. Dill,
Algebraic relations over finite fields that preserve the endomorphism rings of CM j-invariants; arXiv:2308.10976 (2024).
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F. Campagna, G. Dill,
Around the support problem for Hilbert Class Polynomials; arXiv:2204.13461 (2022).
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L. Frey, S. Le Fourn, E. Lorenzo-Garcia, Explicit height estimates for CM curves of genus 2, soumis; arXiv:2311.13403 (2023).
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S. Le Fourn, D. Lombardo, D. Zywina, Torsion bounds for a fixed abelian variety and varying number field, soumis; arXiv:2208.02345 (2023).
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F. Breuer, D. Gíjon Gómez, F. Pazuki, Explicit bounds on the coefficients of modular polynomials and the size of X0(N); arXiv:2310.14428 (2023).