Results 21 to 30 of about 472 (72)
Evaluation of Certain Hypergeometric Functions over Finite Fields [PDF]
, 2018 For an odd prime $p$, let $\phi$ denote the quadratic character of the multiplicative group ${\mathbb F}_p^\times$, where ${\mathbb F}_p$ is the finite field of $p$ elements.
Tu, Fang-Ting, Yang, Yifan
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Character Sums, Gaussian Hypergeometric Series, and a Family of Hyperelliptic Curves
, 2015 We study the character sums \[\phi_{(m,n)}(a,b)=\sum_{x\in\mathbb{F}_q}\phi\left(x(x^{m}+a)(x^{n}+b)\right),\textrm{ and, } \psi_{(m,n)}(a,b)=\sum_{x\in\mathbb{F}_q}\phi\left((x^{m}+a)(x^{n}+b)\right)\] where $\phi$ is the quadratic character defined ...
Sadek, Mohammad
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Gaussian Generalized Tetranacci Numbers
, 2019 In this paper, we define Gaussian generalized Tetranacci numbers and as special cases, we investigate Gaussian Tetranacci and Gaussian Tetranacci-Lucas numbers with their ...
Soykan, Yüksel
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Coloring Planar Graphs via Colored Paths in the Associahedra
, 2013 Hassler Whitney's theorem of 1931 reduces the task of finding proper, vertex 4-colorings of triangulations of the 2-sphere to finding such colorings for the class \(\mathfrak H\) of triangulations of the 2-sphere that have a Hamiltonian circuit. This has
Bowlin, Garry, Brin, Matthew G.
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Optimal ambiguity functions and Weil's exponential sum bound
, 2011 Complex-valued periodic sequences, u, constructed by Goran Bjorck, are analyzed with regard to the behavior of their discrete periodic narrow-band ambiguity functions A_p(u).
John J. Benedetto +3 more
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Parity of Sets of Mutually Orthogonal Latin Squares
, 2017 Every Latin square has three attributes that can be even or odd, but any two of these attributes determines the third. Hence the parity of a Latin square has an information content of 2 bits.
Francetić, Nevena +2 more
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Wolstenholme's theorem: Its Generalizations and Extensions in the last hundred and fifty years (1862--2012) [PDF]
, 2011 In 1862 Wolstenholme proved that for any prime $p\ge 5$ the numerator of the fraction $$ 1+\frac 12 +\frac 13+...+\frac{1}{p-1} $$ written in reduced form is divisible by $p^2$, $(2)$ and the numerator of the fraction $$ 1+\frac{1}{2^2} +\frac{1}{3^2}
Mestrovic, Romeo
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Perusinis II. Fall: Der Alzheimer Patient R.M. Geschichte, Genealogie und Genetik eines psychiatriehistorischen Falls [PDF]
, 2012 1.American Journal of Alzheimer`s Disease and Other Dementias: 2010; 25:189-192 100th anniversary of PERUSINI`S SECOND CASE: PATIENT RM and his KINDRED
Braun, Birgit
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Lucas' theorem: its generalizations, extensions and applications (1878--2014) [PDF]
, 2014 In 1878 \'E. Lucas proved a remarkable result which provides a simple way to compute the binomial coefficient ${n\choose m}$ modulo a prime $p$ in terms of the binomial coefficients of the base-$p$ digits of $n$ and $m$: {\it If $p$ is a prime, $n=n_0 ...
Meštrović, Romeo
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Bicomplex Third-order Jacobsthal Quaternions
, 2018 The aim of this work is to consider the bicomplex third-order Jacobsthal quaternions and to present some properties involving this sequence, including the Binet-style formulae and the generating functions.
Cerda, Gamaliel
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