A new lower bound for ${\Vert (3/2)^k\Vert }$

Wadim Zudilin

Displaying similar documents to “A new lower bound for ${∥ (3 / 2)}^{k} ∥$ ”

Inverse series relations, formal power series and Blodgett-Gessel's type binomial identities.

Chu, Wenchang (1992)

Séminaire Lotharingien de Combinatoire [electronic only]

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Foss, S. G., Chernova, N. I. (2001)

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A weighted estimate for an intermediate operator on the cone of nonnegative functions.

Oinarov, Ryskul (2002)

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Nikonorov, Yu.G. (2000)

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Liu Lanzhe, Wang Hua (2006)

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Nikonorov, Yu.G. (2000)

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On the Carlitz problem on the number of solutions to some special equations over finite fields

Ioulia N. Baoulina (2011)

Journal de Théorie des Nombres de Bordeaux

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We consider an equation of the type $a_{1}^{} x_{1}^{2} + \dots + a_{n}^{} x_{n}^{2} = b x_{1} \dots x_{n}$ over the finite field $𝔽_{q} = 𝔽_{p^{s}}$ . Carlitz obtained formulas for the number of solutions to this equation when $n = 3$ and when $n = 4$ and $q \equiv 3 (mod 4)$ . In our earlier papers, we found formulas for the number of solutions when $d = gcd (n - 2, (q - 1) / 2) = 1$ or $2$ or $4$ ; and when $d > 1$ and $- 1$ is a power of $p$ modulo $2 d$ . In this paper, we obtain formulas for the number of solutions when $d = 2^{t}$ , $t \geq 3$ , $p \equiv 3 or 5 (mod 8)$ or $p \equiv 9 (mod 16)$ . For general case, we derive lower bounds for the number of solutions.

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Bouziani, Abdelfatah (2003)

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Multidimensional integral inequalities with homogeneous weights.

Bârză, Sorina (2005)

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Displaying similar documents to “A new lower bound for ∥ ( 3 / 2 ) k ∥ ”

Displaying similar documents to “A new lower bound for ${∥ (3 / 2)}^{k} ∥$ ”