Preda Mihăilescu

Mathematics · Physical Sciences

13h-index881citations76works0.02yr avg
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Research Topics

Algebraic Geometry and Number Theory(33), Analytic Number Theory Research(14), Polynomial and algebraic computation(12), Biometric Identification and Security(11), Coding theory and cryptography(11)

Publications76 total

The strong Fermat-Catalan Equation
arXiv (Cornell University)·2025Open Access
An altenative proof of the Catalan conjecture
Bulletin of the "Transilvania" University of Braşov. Series III, Mathematics and Computer Science·2025Open Access
A Diophantine equation concerning epimoric ratios
European Mathematical Society Magazine·2022Open Access
A Diophantine equation concerning epimoric ratios
Zenodo (CERN European Organization for Nuclear Research)·2022Open Access
Double exponential lower bounds for possible solutions in the Second Case of the Fermat Last Theorem
Journal of Number Theory·2021· 1 citedOpen Access
Double exponential lower bounds for possible solutions in the Second\n Case of the Fermat Last Theorem
arXiv (Cornell University)·2021Open Access
Beyond and slightly aside of the Fermat Desert
arXiv (Cornell University)·2021· 1 citedOpen Access
On a Popular Diophantine Norm Equation
arXiv (Cornell University)·2021Open Access
Improved lower bounds for possible solutions in the Second Case of the Fermat Last Theorem and in the Catalan Equation
Journal of Number Theory·2021· 2 cited
A Conditional Proof of the Leopoldt Conjecture for CM Fields
Springer proceedings in mathematics & statistics·2021· 1 citedOpen Access
Small Fields with Large Class Groups
2020
The Charm of Units I, On the Kummer–Vandiver Conjecture. Extended Abstract
2020
Goldbach's Problem: Selected Topics
2017· 2 citedOpen Access
On equation Xn − 1 = BZn
International Journal of Number Theory·2016Open Access
Current challenges for biometric security, with focus on fingerprints
Banach Center Publications·2016Open Access
The Generalized Fermat Equation
2016· 20 cited
Security Considerations in Minutiae-Based Fuzzy Vaults
IEEE Transactions on Information Forensics and Security·2015· 82 cited
Chapitre 6 : entretien avec Preda Mihăilescu
Bulletin de la Sabix·2015Open Access
Conceiving a conjecture, and other stories about Eugène Charles CATALAN
2015
Current Challenges for IT Security with Focus on Biometry
2015· 1 cited
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Frequent Co-authors

Axel Munk(7), Krzysztof Mieloch(4), Michael Th. Rassias(4), Benjamin Tams(2), Carsten Gottschlich(2), Michael A. Bennett(1), Samir Siksek(1), Yann Bugeaud(1), Roberto Avanzi(1), François Morain(1), Éric Schost(1), Victor Vuletescu(1), Valentin Blomer(1), Francesco Pappalardi(1), Jörg Brüdern(1), Boris Bartolomé(1)