Results 51 to 60 of about 407 (175)

Testing for Unspecified Periodicities in Binary Time Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT Given random variables Y1,…,Yn$$ {Y}_1,\dots, {Y}_n $$ with Yi∈{0,1}$$ {Y}_i\in \left\{0,1\right\} $$ we test the hypothesis whether the underlying success probabilities pi$$ {p}_i $$ are constant or whether they are periodic with an unspecified period length of r≥2$$ r\ge 2 $$.
Finn Schmidtke, Mathias Vetter
wiley   +1 more source

Brill-Noether loci of rank 2 vector bundles over an algebraic curve [PDF]

, 1999
In this thesis the Brill-Noether loci W of rank 2 stable vector bundles of canonical determinant over an algebraic curve are studied. We analyse three conjectures on the nonexistence, dimension and smoothness of W, collectively known as the Brill ...
Rayfield, A.C., Rayfield, Alan Christopher   +1 more
core  

Geometry of Vector Bundle Extensions and Applications to a Generalised Theta Divisor [PDF]

, 2013
Let E and F be vector bundles over a complex projective smooth curve X, and suppose that 0→E→W→F→0 is a nontrivial extension. Let G⊆F be a subbundle and D an effective divisor on X.
Hitching, George H.
core   +2 more sources

The 3‐sparsity of Xn−1$X^n-1$ over finite fields of characteristic 2

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Let q$q$ be a prime power and Fq$\mathbb {F}_q$ the finite field with q$q$ elements. For a positive integer n$n$, the polynomial Xn−1∈Fq[X]$X^n - 1 \in \mathbb {F}_q[X]$ is termed 3‐sparse over Fq$\mathbb {F}_q$ if all its irreducible factors in Fq[X]$\mathbb {F}_q[X]$ are either binomials or trinomials.
Kaimin Cheng
wiley   +1 more source

Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract Let G$G$ be a finite group and p$p$ be a prime. We establish an upper bound for the derived length of a Sylow p$p$‐subgroup of G$G$ in terms of the number of irreducible characters of G$G$ whose degrees are divisible by p$p$. We also prove that if B$B$ is a p$p$‐block of a finite p$p$‐solvable group G$G$ with defect group D$D$, then the ...
James P. Cossey, Mark L. Lewis, A. A. Schaeffer Fry, Hung P. Tong‐Viet   +3 more
wiley   +1 more source

The loci of abelian varieties with points of high multiplicity on the theta divisor

, 2009
We study the loci of principally polarized abelian varieties with points of high multiplicity on the theta divisor. Using the heat equation and degeneration techniques, we relate these loci and their closures to each other, as well as to the singular set
Samuel Grushevsky, SALVATI MANNI, Riccardo, Riccardo Salvati Manni   +2 more
core   +1 more source

A note on congruences for theta divisors [PDF]

Comptes Rendus. Mathématique, 2008
The classes of two theta divisors on an Abelian variety in the naive Grothendieck ring of varieties need not be congruent modulo the class of the affine line.
openaire   +2 more sources

Random Diophantine equations in the primes

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
wiley   +1 more source

Theta divisors whose Gauss map has a fiber of positive dimension [PDF]

, 2020
We construct families of principally polarized abelian varieties whose theta divisor is irreducible and contains an abelian subvariety. These families are used to construct examples when the Gauss map of the theta divisor is only generically finite and ...
Codogni G., Giulio Codogni, Auffarth R., Robert Auffarth, Codogni, Giulio, Auffarth, Robert   +5 more
core   +1 more source

Quantitative asymptotics for polynomial patterns in the primes

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen, Joni Teräväinen, Mengdi Wang   +2 more
wiley   +1 more source