3 papers
math.HO2025
Polymorphic Numbers with Exponential Prefix
Samer Seraj
We observe that the computation has the digital property of the result being equal to the exponent concatenated directly to the left of the base. The generalization to a…
math.HO2025
Diophantine Analysis of a Digital Anomaly
Samer Seraj
The arithmetic-digital anomaly of has been observed several times in the past. We generalize it to an exponential Diophantine equation and inequality in the general num…
math.NT2023
Sum of Distinct Biquadratic Residues Modulo Primes
Samer Seraj
Two conjectures, posed by Finch-Smith, Harrington, and Wong in a paper published in Integers in , are proven. Given a monic biquadratic polynomial , we…