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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…
math.NT2013
Sum of Cubes is Square of Sum
Edward Barbeau, Samer Seraj
Inspired by the fact that the sum of the cubes of the first naturals is equal to the square of their sum, we explore, for each , the Diophantine equation representing all no…