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math.NT2026
Products of point counts of higher genus curves over finite fields
Alina Bucur, Kiran S. Kedlaya, Arshay Sheth
Let be an elliptic curve and for each prime , let denote the number of points of modulo . The original version of the conjecture of Birch and Swinnert…
math.NT2026
Real geometric transcendence for the Gamma function
Arshay Sheth
We show that the -axis is the only real algebraic curve in whose image via the Gamma function is contained in an algebraic curve. Our proof employs an elegant base…