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math.NT2021
Moments of Gaussian hypergeometric functions over finite fields
Ankan Pal, Bidisha Roy, Mohammad Sadek
We prove explicit formulas for certain first and second moment sums of families of Gaussian hypergeometric functions , , over finite fields with elements wher…
math.NT2021
Genus two curves with everywhere good reduction over quadratic fields
Andrzej Dabrowski, Mohammad Sadek
We address the question of existence of absolutely simple abelian varieties of dimension 2 with everywhere good reduction over quadratic fields. The emphasis will be given to the c…