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Research Article110.1016/j.jnt.2024.05.015Degeneracy loci in the universal family of Abelian varietiesJun 01, 2024Journal of Number TheoryZiyang Gao + 1 more +1CiteListenSave
Research Article210.1016/j.jnt.2024.04.011Required condition for a congruent number: pq with primes p ≡ 1 (mod 8) and q ≡ 3 (mod 8)May 21, 2024Journal of Number TheoryShamik DasCiteListenSave
Research Article10.1016/j.jnt.2024.04.014Non-vanishing of multiple zeta values for higher genus curves over finite fieldsMay 17, 2024Journal of Number TheoryDaichi MatsuzukiCiteListenSave
Research Article310.1016/j.jnt.2024.04.010Global liftings between inner forms of GSp(4)May 17, 2024Journal of Number TheoryMirko Rösner + 1 more +1CiteListenSave
Research Article10.1016/j.jnt.2024.03.008A note on the two variable Artin's conjectureApr 23, 2024Journal of Number TheoryS.g Hazra + 2 more +2CiteListenSave
Research Article110.1016/j.jnt.2024.03.017Schmidt's subspace theorem for arbitrary families of moving hypersurface targetsApr 23, 2024Journal of Number TheoryTingbin Cao + 2 more +2CiteListenSave
Research Article10.1016/j.jnt.2024.03.020General multiple Dirichlet series from perverse sheavesApr 23, 2024Journal of Number TheoryWill SawinCiteListenSave
Research Article10.1016/j.jnt.2024.03.018Torsion points of elliptic curves over multi-quadratic number fieldsApr 23, 2024Journal of Number TheoryKoji MatsudaWe compute the Mordell–Weil groups of the modular Jacobian varieties of hyperelliptic modular curves X1(M,MN) over every composite field of some quadratic number fields. Also we prove criteria for the existence of elliptic curves over such number fields with prescribed torsion points generalizing the results for quadratic number fields of Kamienny and Najman.Read moreCiteListenSave
Research Article710.1016/j.jnt.2024.03.014Nonvanishing of second coefficients of Hecke polynomialsApr 22, 2024Journal of Number TheoryArcher Clayton + 4 more +4CiteListenSave