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In this short letter, we reformulate the Riemann zeta function using the holographic framework of the celestial conformal field theory. For spacetime dimension larger than our Minkowski spacetime $M^4$, the Riemann zeta function is…

高能物理 - 理论 · 物理学 2023-08-31 Wei Fan

In this short survey we give a description of the theta functions of algebraic curves, half-integer theta-nulls, and the fundamental theta functions. We describe how to determine such fundamental theta functions and describe the components…

复变函数 · 数学 2019-05-30 L. Beshaj , A. Elezi , T. Shaska

We present a brief overview of some recent observations of colliding galaxies and relevant numerical simulations. These are compared, and details of the locations and history of collision induced star formation are explored, with possible…

天体物理学 · 物理学 2007-05-23 Susan A. Lamb , Nathan C. Hearn

We make a first step towards categorification of the dendriform operad, using categories of modules over the Tamari lattices. This means that we describe some functors that correspond to part of the operad structure.

量子代数 · 数学 2009-09-16 Frédéric Chapoton

We give an informal survey of the historical development of computations related to prime number distribution and zeros of the Riemann zeta function.

数论 · 数学 2018-10-15 Pieter Moree , Izabela Petrykiewicz , Alisa Sedunova

We study the sets of semistar and star operation on a semilocal Pr\"ufer domain, with an emphasis on which properties of the domain are enough to determine them. In particular, we show that these sets depend chiefly on the properties of the…

交换代数 · 数学 2017-07-25 Dario Spirito

This paper considers some infinite series involving the Riemann zeta function.

经典分析与常微分方程 · 数学 2010-05-18 Donal F. Connon

This is a brief review of spin physics in semiconductors, as well as of the historic roots of the recent very active research of spin-related phenomena. The perspectives of "spintronics" are also discussed.

介观与纳米尺度物理 · 物理学 2007-05-23 M. I. Dyakonov

A new, seemingly useful presentation of zeta functions on complex tori is derived by using contour integration. It is shown to agree with the one obtained by using the Chowla-Selberg series formula, for which an alternative proof is thereby…

数学物理 · 物理学 2015-08-10 Emilio Elizalde , Klaus Kirsten , Nicolas Robles , Floyd Williams

The existence of starspots on late-type giant stars in close binary systems, that exhibit rapid rotation due to tidal locking, has been known for more than five decades. Photometric monitoring spanning decades has allowed studying the…

太阳与恒星天体物理 · 物理学 2015-06-17 Heidi Korhonen

In this talk, after briefly reviewing some historical remarks concerning strange stars, the achievements in physics and dynamical behavior of strange stars are discussed. Especially, various observational effects in distinguishing strange…

天体物理学 · 物理学 2007-05-23 T. Lu

Star operations are an important tool in multiplicative ideal theory. In this paper we apply a special type of star operation, known as $\nu$-operation, to define the notion of right Pr\"ufer $\nu$-multiplication order. The latter may be…

环与代数 · 数学 2011-08-30 Nazer H. Halimi

Modern databases and rows of observations allow to make progress in study of magnetic activity of solar-type stars and cold dwarfs. Digitizing of wide-filed plates in the large archives give historical data expanding the investigated time…

太阳与恒星天体物理 · 物理学 2019-03-15 N. I. Bondar , M. A. Gorbunov , A. A. Shlyapnikov

Following ideas of Connes and Moscovici, we describe two spectral triples related to the Kronecker foliation, whose generalized Dirac operators are related to first and second order signature operators. We also consider the corresponding…

数学物理 · 物理学 2009-11-07 R. Matthes , O. Richter , G. Rudolph

We discuss possible mechanisms underlying the observed features of stellar activity cycles, such as multiple periodicities in very active stars, non-cyclic activity observed in moderately active stars, and spatial distribution of stellar…

太阳与恒星天体物理 · 物理学 2012-11-08 Emre Işik

We present the rudiments of the Morita theory of module systems (over semirings), paralleling the classical Morita theory over associative rings.

环与代数 · 数学 2019-03-07 Louis Rowen

We define an analogue of the Baernstein star function for a meromorphic function f in several complex variables. This function is subharmonic on the upper half-plane and encodes some of the main functionals attached to f.We then…

复变函数 · 数学 2017-02-01 Faruk Abi-Khuzam , Florian Bertrand , Giuseppe Della Sala

In this note we investigate the inclusion relationship between the class of strongly starlike functions of order alpha and type beta and the class of strongly convex functions of order alpha and type beta which are subclass of normalized…

复变函数 · 数学 2009-11-24 Ikkei Hotta , Mamoru Nunokawa

Some notes and observations on analytic functions defined on an annulus

复变函数 · 数学 2011-05-17 Pietro Poggi-Corradini

This is a survey paper of the theory of crystal bases, global bases and the cluster algebra structure on the quantum coordinate rings.

表示论 · 数学 2018-09-11 Masaki Kashiwara