Shtukas and Jacobi sums.
Dinesh S. Thakur (1993)
Inventiones mathematicae
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Dinesh S. Thakur (1993)
Inventiones mathematicae
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D. Goldfeld, P. Sarnak (1983)
Inventiones mathematicae
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Li Xiaoxue, Hu Jiayuan (2017)
Open Mathematics
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The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact computational formula for it.
Faruk Göloğlu, Gary McGuire, Richard Moloney (2011)
Acta Arithmetica
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John Greene, Dennis Stanton (1986)
Aequationes mathematicae
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Katalin Gyarmati, Attila Pethő, András Sárközy (2005)
Acta Arithmetica
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Devendra Shirolkar, S. A. Katre (2011)
Acta Arithmetica
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Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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Paul van Wamelen (2002)
Acta Arithmetica
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Tingting Wang (2012)
Acta Arithmetica
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Abdelmejid Bayad, Yoshinori Hamahata (2012)
Acta Arithmetica
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Qing-Hu Hou, Zhi-Wei Sun (2002)
Acta Arithmetica
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Zhi-Wei Sun (2001)
Acta Arithmetica
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Chizuru Sekine (2005)
Acta Arithmetica
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William Ellison (2013)
Acta Arithmetica
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If K is a field, denote by P(K,k) the a ∈ K which are sums of kth powers of elements of K, by P⁺(K,k) the set of a ∈ K which are sums of kth powers of totally positive elements of K. We give some simple conditions for which there exist integers w(K,k) and g(K,k) such that: a ∈ P(K,k) implies that a is the sum of at most w(K,k) kth powers; a ∈ P⁺(K,k) implies that a is the sum of at most g(K,k) totally positive kth powers. We apply the results to characterise functions that are sums of...
E. Bombieri (1978)
Inventiones mathematicae
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