108 citations · 307 across the 89 of their papers we have counts for
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Poisson Type Phenomena for Points on Hyperelliptic Curves modulo p
Kit-Ho Mak, Alexandru Zaharescu
Let be a large prime, and let be a hyperelliptic curve over . We study the distribution of the -coordinates in short intervals when the -coordinates lie…
On the distribution of the number of points on a family of curves over finite fields
Kit-Ho Mak, Alexandru Zaharescu
Let be a large prime, be a positive integer, be an integer relatively prime to and be a polynomial which is not a complet…
Lehmer points and visible points on affine varieties over finite fields
Kit-Ho Mak, Alexandru Zaharescu
Let be an absolutely irreducible affine variety over . A Lehmer point on is a point whose coordinates satisfy some prescribed congruence conditions, and a vis…
Randomness of character sums modulo
Youness Lamzouri, Alexandru Zaharescu
Using a probabilistic model, based on random walks on the additive group , we prove that the values of certain real character sums are uniformly distributed…
Convexity of Quotients of Theta Functions
Atul Dixit, Arindam Roy, Alexandru Zaharescu
For fixed and such that , the monotonicity of the quotients of Jacobi theta functions, namely, , , on h…
Pair correlation of angles between reciprocal geodesics on the modular surface
Florin P. Boca, Vicentiu Pasol, Alexandru A. Popa +1
The existence of the limiting pair correlation for angles between reciprocal geodesics on the modular surface is established. An explicit formula is provided, which captures geomet…