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Counting points on a family of degree one del Pezzo surfaces

math.NT · 2025-08-12 · unverdicted · novelty 6.0

Proves asymptotics for integral rational points on a family of degree-one del Pezzo surfaces by reducing the count to correlation sums of binary quadratic and quartic representation numbers analyzed via modular forms.

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  • Counting points on a family of degree one del Pezzo surfaces math.NT · 2025-08-12 · unverdicted · none · ref 15

    Proves asymptotics for integral rational points on a family of degree-one del Pezzo surfaces by reducing the count to correlation sums of binary quadratic and quartic representation numbers analyzed via modular forms.