Pontificia Universidad Católica del Perú

On Goldbach numbers in short intervals

Assuming the Riemann Hypothesis, we prove that for all $$x\geqslant 2$$ , there exists at least one even integer within the interval $$(x, x+123\log ^2x]$$ , that can be expressed as the sum of two primes. This result is an improvement over the recent work of Cully-Hugill and Dud...

The Versatility of Large Language Models: A Comprehensive Review and Structured Survey of Architectures, Applications, Challenges, and Future Trajectories

Abstract Large Language Models (LLMs) have emerged as a transformative technology in artificial intelligence, significantly advancing natural language understanding, generation, and reasoning capabilities. This survey reviews the evolution of language models from early statistica...

Real-World Emission Factors for Andean Light-Duty Vehicles Based on a PSVm10-Validated Driving Cycle Across 0–4000 m Altitude

Emission inventories for high-altitude Andean cities rely on sea-level certification cycles that misrepresent real-world combustion conditions. This study derives altitude-resolved emission factors (EFs) for light-duty gasoline vehicles across 0–4000 m a.s.l. in Ecuador using the...

Experimental modal-based damage evaluation of masonry cross-vaults under quasi-static and dynamic cyclic loading

Masonry cross-vaults are double-curvature structural systems widely employed in historic churches and monumental buildings, which exhibit a pronounced vulnerability to seismic actions owing to the mechanical characteristics of their constituent materials. In such structures, diag...