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In this article, we study the simultaneous sign changes of the Fouriercoefficients of two Hilbert cusp forms of different integral weights. We alsostudy the simultaneous non-vanishing of Fourier coefficients, of two distinctnon-zero primitive Hilbert cuspidal non-CM eigenforms of integral weights, atpowers of a fixed prime ideal.

Simultaneous behaviour of the Fourier coefficients of two Hilbert modular cusp forms