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math.NT2026
Universal murmuration and Hecke augmentation
Shenghao Hua, Chung Pang Mok
Prime coefficients of elliptic curves exhibit murmurations, statistical patterns that support the prediction of arithmetic labels. We conjecture that root number weighted averages…
math.NT2026
On discrepancy estimates for pseudorandom vectors constructed by the elliptic curve congruential generator
Ziran Liu, Chung Pang Mok
This paper studies the problem of discrepancy estimates for pseudorandom vectors constructed by the elliptic curve congruential generator, particularly in the non-translational cas…