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math.NT2019★ 1 cited
Half-integral weight modular forms and real quadratic -rational fields
Jilali Assim, Zakariae Bouazzaoui
Using half-integral weight modular forms we give a criterion for the existence of real quadratic -rational fields. For we prove the existence of infinitely many real quadr…
math.NT2019
A genus formula for the positive étale wild kernel
Hassan Asensouyis, Jilali Assim, Youness Mazigh
Let be a number field and let be an integer. In this paper, we study the positive étale wild kernel $\mathrm{WK}^{\mbox{ét},+}_{2i-2}F$, which is the twisted analogue…
math.NT2019★ 4 cited
Galois Codescent For Motivic Tame Kernels
J. Assim, A. Movahhedi
Let be a finite Galois extension of number fields with an arbitrary Galois group . We give an explicit description of the kernel of the natural map on motivic tame kernels…