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BEGIN:VEVENT
SUMMARY:On primes represented by aX^2+bY^3 - Jori Merikoski (Oxford)
DTSTART:20250513T133000Z
DTEND:20250513T143000Z
UID:TALK230908@talks.cam.ac.uk
CONTACT:Jef Laga
DESCRIPTION:Let a\,b > 0 be coprime integers. Assuming a conjecture on Hec
 ke eigenvalues along binary cubic forms\, we prove an asymptotic formula f
 or the number of primes of the form ax^2 + by^3 with x ≤ X1/2 and y ≤ 
 X1/3. The proof combines sieve methods with the theory of real quadratic f
 ields/indefinite binary quadratic forms\, the Weil bound for exponential s
 ums\, and spectral methods of GL(2) automorphic forms. We also discuss app
 lications to elliptic curves.
LOCATION:MR13
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