Results 71 to 80 of about 98,708 (229)
Moments of the Riemann zeta function at its local extrema
Abstract Conrey, Ghosh and Gonek studied the first moment of the derivative of the Riemann zeta function evaluated at the non‐trivial zeros of the zeta function, resolving a problem known as Shanks' conjecture. Conrey and Ghosh studied the second moment of the Riemann zeta function evaluated at its local extrema along the critical line to leading order.
Andrew Pearce‐Crump
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Modern thematic preparation for EIA in mathematics in Ukraine: coordinates and vectors, elements of combinatorics and stochastics [PDF]
Oleksandr Shkolnyi, Yurii Zakhariichenko
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A note on the magnetic Steklov operator on functions
Abstract We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We provide equivalent characterizations of magnetic Steklov operators which are unitarily equivalent to the classical Steklov operator and study bounds for the ...
Tirumala Chakradhar+3 more
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The structure of sets with cube‐avoiding sumsets
Abstract Suppose G$G$ is a finite abelian group, Z0⊂G$Z_0 \subset G$ is not contained in any strict coset in G$G$, and E,F$E,F$ are dense subsets of Gn$G^n$ such that the sumset E+F$E+F$ avoids Z0n$Z_0^n$. We show that E$E$ and F$F$ are almost entirely contained in sets defined by a bounded number of coordinates, that is, sets E′×GIc$E^{\prime } \times
Thomas Karam, Peter Keevash
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New directions in enumerative chess problems [PDF]
Normally a chess problem must have a unique solution, and is deemed unsound even if there are alternatives that differ only in the order in which the same moves are played.
Elkies, Noam D.
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On Generalized Avicenna Numbers
ABSTRACT Avicenna numbers that we define in this paper, are a class of figurate numbers, including icosahedral, octahedral, tetrahedral, dodecahedral, rhombicosidodecahedral numbers and cubes, play a key role in mathematics, physics and various scientific fields.
Melih Göcen, Yüksel Soykan
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T. P. McDonough and V. C. Mavron (editors), Combinatorics (London Mathematical Society Lecture Note Series No. 13, Cambridge University Press, 1974), v + 204 pp., £3·20. [PDF]
Donald Monk
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INTERNATIONAL JOURNAL OF MATHEMATICAL COMBINATORICS, vol. 1 / 2018
The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 110-160 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache ...
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Strong External Difference Families and Classification of α‐Valuations
ABSTRACT One method of constructing ( a 2 + 1 , 2 , a , 1 )‐SEDFs (i.e., strong external difference families) in Z a 2 + 1 makes use of α‐valuations of complete bipartite graphs K a , a. We explore this approach and we provide a classification theorem which shows that all such α‐valuations can be constructed recursively via a sequence of “blow‐up ...
Donald L. Kreher+2 more
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