Number Theory

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Primes, Diophantine equations, and algebraic number theory.

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Intersective Polynomial Difference-Free Sets Receive Stronger Density Bounds

Arithmetic level-d estimates, sieve-based exponential sums, and random sparsification yield a stretched-exponential upper bound for every exponent below 1/2.

math.CO math.NT

Aug 31, 20263 min2605.16216

Mathematics

Frobenius Traces Recover Three Weierstrass Coefficients

Decision trees expose explicit formulas for three reduced minimal coefficients using traces at 2 and 3 plus conductor parity.

math.NT

Jul 28, 20264 min2607.24251 Code available