Abstract
We prove an analogue of the Oppenheim conjecture for a system comprising an inhomogeneous quadratic form and a linear form in 3 variables using dynamics on the space of affine lattices.
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A. G. gratefully acknowledges support from a grant from the Indo-French Centre for the Promotion of Advanced Research, a Department of Science and Technology, Government of India Swarnajayanti fellowship and a MATRICS grant from the Science and Engineering Research Board. P. B. and A. G. acknowledge support of the Department of Atomic Energy, Government of India, under project 12-R&D-TFR-5.01-0500. This work received support from a grant from the Infosys foundation.
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Bandi, P., Ghosh, A. On the density at integer points of a system comprising an inhomogeneous quadratic form and a linear form. Math. Z. 299, 781–796 (2021). https://doi.org/10.1007/s00209-021-02716-8
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DOI: https://doi.org/10.1007/s00209-021-02716-8