Results 71 to 80 of about 143,013 (228)

A Note on the generating function of p-Bernoulli numbers

open access: yes, 2018
We use analytic combinatorics to give a direct proof of the closed formula for the generating function of $p$-Bernoulli numbers.Comment: 6 ...
Kuba, Markus
core  

Symmetric 2‐ ( 35 , 17 , 8 ) Designs With an Automorphism of Order 2

open access: yesJournal of Combinatorial Designs, Volume 33, Issue 10, Page 399-403, October 2025.
ABSTRACT The largest prime p that can be the order of an automorphism of a 2‐ ( 35 , 17 , 8 ) design is p = 17, and all 2‐ ( 35 , 17 , 8 ) designs with an automorphism of order 17 were classified by Tonchev. The symmetric 2‐ ( 35 , 17 , 8 ) designs with automorphisms of an odd prime order p < 17 were classified in Bouyukliev, Fack and Winne and ...
Sanja Rukavina, Vladimir D. Tonchev
wiley   +1 more source

Abundant Neighborhoods, Two‐Sided Markets, and Maximal Matchings

open access: yesNaval Research Logistics (NRL), Volume 72, Issue 7, Page 1022-1035, October 2025.
ABSTRACT I introduce a new graph‐theoretic property called abundant neighborhoods. This property is motivated by studying the thickness of economic markets. A vertex is, roughly, guaranteed to match if and only if it has an abundant neighborhood.
Muhammad Maaz
wiley   +1 more source

Moments, sums of squares, and tropicalization

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set S$S$. The truncated cones of moments of measures supported on the set S$S$ are dual to nonnegative polynomials on S$S$, while “pseudomoments” are dual to sums of squares approximations to nonnegative polynomials.
Grigoriy Blekherman   +4 more
wiley   +1 more source

On extremal problems associated with random chords on a circle

open access: yesMathematika, Volume 71, Issue 4, October 2025.
Abstract Inspired by the work of Karamata, we consider an extremization problem associated with the probability of intersecting two random chords inside a circle of radius r,r∈(0,1]$r, \, r \in (0,1]$, where the endpoints of the chords are drawn according to a given probability distribution on S1$\mathbb {S}^1$.
Cynthia Bortolotto, João P. G. Ramos
wiley   +1 more source

Moments of the Riemann zeta function at its local extrema

open access: yesMathematika, Volume 71, Issue 4, October 2025.
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
wiley   +1 more source

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