ABSTRACT I report on a large-scale search for the orbital periods (P) of most known nova systems, by looking significant, coherent, and stable optical photometric modulation in two or more independent light curves taken mostly from large surveys TESS, Kepler, AAVSO, SMARTS, OGLE, ASAS, ZTF. have discovered 31 new periods. Further, measured 18 novae with evolved companions, to 30 per cent accura...

The incubation period for typhoid, polio, measles, leukemia and many other diseases follows a right-skewed, approximately lognormal distribution. Although this pattern was discovered more than sixty years ago, it remains an open question to explain its ubiquity. Here, we propose an explanation based on evolutionary dynamics on graphs. For simple models of a mutant or pathogen invading a network...

In the last couple of years many works have been devoted to Abelian complexity of words. Recently, Constantinescu and Ilie (Bulletin EATCS 89, 167–170, 2006) introduced the notion of Abelian period. We show that a word w of length n over an alphabet of size σ can have Θ(n2) distinct Abelian periods. However, to the best of our knowledge, no efficient algorithm is known for computing these perio...

Let S be a monoid of endomorphisms of a quasiprojective variety V defined over a global field K. We prove a lower bound for the size of the reduction modulo places of K of the orbit of any point α ∈ V (K) under the action of the endomorphisms from S. We also prove a similar result in the context of Drinfeld modules. Our results may be considered as dynamical variants of Artin’s primitive root c...

0. Introduction. The purpose of this article is to show how congruences between the Fourier coefficients of Hecke eigenforms give rise to corresponding congruences between the algebraic parts of the critical values of the associated L-functions. This study was initiated by Mazur in his fundamental work on the Eisenstein ideal (see [Maz1] and [Maz2]), where it was made clear that congruences for...

Let π1 be a cuspidal Saito-Kurokawa representation of SO(3,2) and π2 a cuspidal or trivial representation of SO(3,1) or SO(2,2). We present period formulas that show how π1 restricts to π2.

We exhibit a deterministic algorithm that, for some effectively computable real number c, decides whether a given integer n>1 is prime within time (logn)·(2+log logn). The same result, with 21/2 in the place of 6, was proved by Agrawal, Kayal, and Saxena. Our algorithm follows the same pattern as theirs, performing computations in an auxiliary ring extension of Z/nZ. We allow our rings to be ge...

Introduction Conclusions References

Wenckebach periods of alternate beats (AW) can be described as a 2:1 atrioventricular (A-V) block in which the conducted P waves show progressive prolongation of the P-R interval of the Wenckebach type. However, while classical Wenckebach periods terminate with a single blocked P wave, AW necessarily ends with (or begins from) two consecutive blocked P waves. Five clinical cases and several exp...