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Upper bounds onTcfor one-dimensional Ising systems

✍ Scribed by James L. Monroe


Publisher
Springer
Year
1994
Tongue
English
Weight
249 KB
Volume
76
Category
Article
ISSN
0022-4715

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Upper bounds on n-dimensional Kloosterma
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Let p m be any prime power and K n Γ°a; p m Þ be the Kloosterman sum where the x i are restricted to values not divisible by p: Let m; n be positive integers with mX2 and suppose that p g jjΓ°n ΓΎ 1Þ: We obtain the upper bound jK n Γ°a; p m ÞjpΓ°n ΓΎ 1; p Γ€ 1Þp 1=2 minΓ°g;mΓ€2Þ p mn=2 ; for odd p: For p ΒΌ