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math.NT2020
Inequalities for inert primes and their applications
Zilong He
For any given non-square integer , we prove Euclid's type inequalities for the sequence of all primes satisfying the Kronecker symbol $ (D/q_{…
math.NT2020
Sign changes of Fourier coefficients of cusp forms of half-integral weight over split and inert primes in quadratic number fields
Zilong He, Ben Kane
In this paper, we investigate sign changes of Fourier coefficients of half-integral weight cusp forms. In a fixed square class , we investigate the sign changes in t…