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Publications associées (43)
On the Use of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions for the Calculation of Infinite Sums and the Analysis of Zeroes of Analytical Functions
Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of an analytical function to obtain a few new criteria equivalent to the Riemann hypothesis. Here, the same theorem is applied to calcul ...
MDPI2023A Determinantal Identity for the Permanent of a Rank 2 Matrix
We prove an identity relating the permanent of a rank 2 matrix and the determinants of its Hadamard powers. When viewed in the right way, the resulting formula looks strikingly similar to an identity of Carlitz and Levine, suggesting the possibility that t ...
TAYLOR & FRANCIS INC2022Sign-Changing Solutions for a Class of Zero Mass Nonlocal Schrodinger Equations
We consider the following class of fractional Schrodinger equations: (-Delta)(alpha)u + V(x)u = K(x)f(u) in R-N, where alpha is an element of (0, 1), N > 2 alpha, (-Delta)(alpha) is the fractional Laplacian, V and K are positive continuous functions which ...
2019The unfolding argument: Why IIT and other causal structure theories cannot explain consciousness
Michael Herzog, Kathryn Hess Bellwald, Adrien Christophe Doerig, Aaron Schurger
How can we explain consciousness? This question has become a vibrant topic of neuroscience research in recent decades. A large body of empirical results has been accumulated, and many theories have been proposed. Certain theories suggest that consciousness ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2019