3 papers
math.GM2026
Why Is Nicomachus' Identity Special?
Guglielmo Vesco
Nicomachus' identity is familiar, but the structure behind it is less often emphasized. We begin with Nicomachus' original pa…
math.HO2026
Guess my number! From binary tricks to general base representations, how many cards are needed?
Guglielmo Vesco
We revisit the classic 'guess my number' game and extend it from its familiar binary form to representations in any integer base. For each base we derive formulas for the number of…
quant-ph2025
Sum-frequency-based photon-number-resolving detector for telecom wavelengths
Silvia Cassina, Alex Pozzoli, Guglielmo Vesco +3
The use of C-band wavelengths in the field of quantum communication has grown significantly, driving the need for versatile detection solutions, especially in the low intensity dom…