Çağatay Altuntaş

Çağatay Altuntaş is a Researcher in the Department of Mathematics Engineering at Istanbul Technical University, Istanbul, Turkey, actively contributing to number theory through publications in high-impact journals. His work bridges combinatorial structures with analytic and p-adic methods.

His research centers on harmonic number generalizations, including hyperharmonic and Dedekind variants, with deep investigations into p-adic valuation properties and prime number distributions. Key interests span analytic number theory, integer sequence analysis, and arithmetic geometry, emphasizing connections between classical number-theoretic objects and advanced valuation techniques.

From 2021–2023, Altuntaş published three significant articles demonstrating methodological diversity: geometric/analytic approaches to hyperharmonic differences (2022), p-adic valuation of generalized harmonic numbers (2023), and Dedekind harmonic numbers in quadratic fields (2021). These works reveal a cohesive focus on arithmetic properties of harmonic sequences, leveraging valuation theory and analytic frameworks to solve combinatorial number theory problems, with emerging trends toward p-adic applications in prime number theory.