جست‌وجوی استاد و پژوهشگر

László Tóthمشاهده پروفایل

استاد

• Number Theory
• Multiplicative and Additive Arithmetic Functions
• Ramanujan Sums
• +۴ مورد دیگر

Dr. László Tóth is a full professor, vice-dean and head of the Department of Mathematics at the Institute of Mathematics and Informatics of the University of Pécs, Hungary. His research is centred on analytic and multiplicative number theory, with extensive work on arithmetic functions, Ramanujan sums, cyclotomic polynomials and the enumeration of subgroups of finite abelian groups. Research Interests Multiplicative and additive arithmetic functions and their asymptotic behaviour Dirichlet series, Ramanujan expansions and related identities Generalised cyclotomic polynomials and unitary divisors GCD–LCM sums and their applications in number theory Subgroup counting in finite abelian groups and ring-theoretic enumeration Combinatorial and probabilistic aspects of coprimality conditions Across more than 100 refereed papers he has systematically developed identities, asymptotic formulas and enumeration techniques that link classical multiplicative number theory with modern algebraic and combinatorial questions. His 2023–2025 articles continue this programme, treating odd perfect-number analogues, hyperbolic summation methods, multidimensional density questions and refined estimates for divisor-type sums. Scientific Awards & Recognition No awards listed in the provided text. Students & Mentoring No students or advisees are named in the provided text. Laboratories & Teams As head of the Department of Mathematics at the Institute of Mathematics and Informatics, University of Pécs, he leads a research group focused on analytic and combinatorial number theory, fostering collaboration on arithmetic functions and algebraic enumeration problems.

Szabolcs Tengelyمشاهده پروفایل

استاد

• Number Theory
• Diophantine Equations
• Cryptography
• +۵ مورد دیگر

Professor Szabolcs Tengely is a distinguished mathematician at the University of Debrecen's Faculty of Science and Technology, where he serves in the Institute of Mathematics. He maintains his office in the Mathematics and Earth Sciences building (Room M415) and holds regular office hours for students. His academic career spans numerous publications and significant contributions to number theory. Position: Professor Institution: University of Debrecen Faculty: Faculty of Science and Technology Department: Institute of Mathematics Professor Tengely's research primarily focuses on number theory with special emphasis on Diophantine equations, arithmetic progressions, and recurrence sequences. His work bridges pure mathematics with applications in cryptography and computational mathematics. He has made notable contributions to understanding the properties of Lucas sequences, Markoff-Rosenberger triples, and solutions to various Diophantine problems. An analysis of his recent publications reveals a strong focus on advanced Diophantine problems, particularly those involving higher power rational Diophantine tuples, cubic Diophantine equations related to the Mordell-Schinzel conjecture, and connections between number theory and combinatorial structures. His research often combines classical number theory techniques with modern computational approaches. Professor Tengely has supervised numerous graduate and undergraduate students through their thesis work, demonstrating his commitment to academic mentorship and the development of future mathematicians. His supervision spans topics in discrete mathematics, cryptography, and computational number theory, reflecting the breadth of his expertise.