4 problems
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Kitaoka's conjecture for universal ternary quadratic forms and lattices
Let be a totally real number field. A universal ternary classical quadratic form or universal ternary classical quadratic lattice over represents every totally positive alg…
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Gritsenko–Nikulin finiteness conjecture for reflective modular forms
A quadratic lattice is understood in the sense used by Gritsenko and Nikulin, and a reflective modular form is a modular form whose divisor is supported on reflective divisors; the…
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Haensch–Kane spinor-genus decomposition conjecture for ternary lattice cosets
Let be a quadratic lattice and let . Define the proper spinor-genus theta series by … where the sum is over representatives of the proper classes in the prop…
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The integrality and zero-block conjecture for quadratic lattice extensions
Let be a quadratic lattice, where is spanned by and by . Let be a lattice containing in…