Effective version of Tartakowsky's Theorem

Hsia, J. S.; Icaza, María Inés

doi:10.4064/aa-89-3-235-253

Cited by 13 publications

(13 citation statements)

References 9 publications

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“…An arithmetic proof given by Hsia-Kitaoka-Kneser in [6], which yields stronger and more generalized results, provides an effective procedure to produce numerical estimates of c(L). Such procedure is further detailed and carried out in [5].…”

Section: Lattices In Quadratic Spacesmentioning

confidence: 99%

Ergodic optimization for countable alphabet subshifts of finite type

Jenkinson¹,

Mauldin²,

Urbański³

2006

Ergod. Th. Dynam. Sys.

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Section: Lattices In Quadratic Spacesmentioning

confidence: 99%

Ergodic optimization for countable alphabet subshifts of finite type

Jenkinson¹,

Mauldin²,

Urbański³

2006

Ergod. Th. Dynam. Sys.

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“…Hence a stronger local solubility condition is needed to treat the case n = 4. Let 13) and let Q ∈ Z[X 1 , . .…”

Section: {K}mentioning

confidence: 99%

On the representation of integers by quadratic forms

Browning

Dietmann²

2007

Proceedings of the London Mathematical Society

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Abstract. Let n 4, and let Q ∈ Z[X1, . . . , Xn] be a non-singular quadratic form. When Q is indefinite we provide new upper bounds for the least non-trivial integral solution to the equation Q = 0, and when Q is positive definite we provide improved upper bounds for the least positive integer k for which the equation Q = k is insoluble in integers, despite being soluble modulo every prime power.

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“…An arithmetic proof given by HsiaKitaoka-Kneser in [6], which yields stronger and more generalized results, provides an effective procedure to produce numerical estimates of c(L). Such a procedure is further detailed and carried out in [5].…”

Section: Theorem 21 ([17]) Let L Be a Positive Definite Lattice Of mentioning

confidence: 99%