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FROM CLAUSEN TO CARLITZ: LOW-DIMENSIONAL SPIN GROUPS AND IDENTITIES AMONG CHARACTER SUMS NICHOLAS M. KATZ Dedicated to Pierre Deligne, with the utmost admiration 1. Introduction…

ar X iv :1 80 2 01 85 4v 2 m at h A P 1 0 A pr 2 01 8 BLOW-UP PROFILE OF ROTATING 2D FOCUSING BOSE GASES MATHIEU LEWIN PHAN THÀNH NAM AND NICOLAS ROUGERIE Abstract We consider…

Characterizing 3rd order effects The nonlinear refractive index Self-lensing Self-phase modulation Solitons When the whole idea of χn fails Attosecond pulses! 37 3rd order…

QUOTIENTS OF VALUES OF THE DEDEKIND ETA FUNCTION EMRE ALKAN MAOSHENG XIONG AND ALEXANDRU ZAHARESCU Abstract Inspired by Riemann’s work on certain quotients of the Dedekind…

On the Fourier transform of the greatest common divisor Peter H. van der Kamp Department of Mathematics and Statistics La Trobe University Victoria 3086, Australia January…

Status of Tartu-Tõravere (TOR) BSRN Station Kai Rosin, Epp Juust, Ain Kallis, Ingrid Niklus, Kristjan Nurmela [email protected] Tartu Actinometric Station (1950-1965)

Serdica Math J 22 1996 471-496 SUMS OF A RANDOM NUMBER OF RANDOM VARIABLES AND THEIR APPROXIMATIONS WITH ν-ACCOMPANYING INFINITELY DIVISIBLE LAWS ∗ Lev B Klebanov Svetlozar…

ar X iv :1 70 1 07 50 7v 3 m at h N T 3 O ct 2 01 7 THE FIFTH MOMENT OF MODULAR L-FUNCTIONS EREN MEHMET KIRAL MATTHEW P YOUNG Abstract We prove a sharp bound on the fifth…

CS 260 1 Runtime Analysis Big O Θ some simple sums see section 12 for motivation Notes examples and code adapted from Data Structures and Other Objects Using C++ by Main…

Trieste (I) - Oct. 13th 2005 C.A.S. 2005 Intermediate Level Course on Accelerator PhysicsParticle Sources Ion Sources (plasma physics of gas discharge, potential distribution,…

Probabilistic methods for discrete nonlinear Schrödinger equations Sourav Chatterjee (NYU) Kay Kirkpatrick (Université Paris IX) Sourav Chatterjee Probability with discrete…

A SOLUTION TO THE FOCUSING 3D NLS THAT BLOWS UP ON A CONTRACTING SPHERE JUSTIN HOLMER, GALINA PERELMAN, AND SVETLANA ROUDENKO Abstract. We rigorously construct radial H1…

ACTA ARITHMETICA LXIX.1 1995 Cyclotomic numbers of order 2l, l an odd prime by Vinaykumar V. Acharya and S. A. Katre Pune 1. Introduction. Let e be a positive integer ≥…

Caustics, focusing and Veselago lens for electrons in graphene PN junctions Vladimir Falko Vadim Cheianov Centre for Nanoscale Dynamics and Mathematical Physics Boris Altshuler…

ENUBET G Brunetti IFAE2018 – 6 April 2018 1 ENUBET G Brunetti INFN-PD On behaf of the ENUBET Collaboration K+ e+ ν e Enhanced NeUtrino BEams from kaon Tagging This project…

1Scientific RepoRts 7: 2019 DOI:10.1038s41598-017-02169-2 www.nature.comscientificreports Precise and diffraction-limited waveguide-to-free-space focusing gratings Karan…

Discussion Paper Series A No.646 Convergence Rates of Sums of α-mixing Triangular Arrays: with an Application to Non-parametric Drift Function Estimation of Continuous-time…

ON A QUESTION OF DAVENPORT AND LEWIS ON CHARACTER SUMS AND PRIMITIVE ROOTS IN FINITE FIELDS Mei-Chu Chang Abstract Let χ be a nontrivial multiplicative character of Fpn…

5.2 Sigma Notation and Limits of Finite Sums Trig Example Example Estimate the area under the curve f x = sin x between x = 0 and x = π with n = 3. What do we need to do…

STAT 7032 Probability CLT part Wlodek Bryc Created: Friday Jan 2 2014 Printed: April 24 2020 File: Grad-Prob-2020-slidesTEX Facts to use ϕt = E expitX I For standard normal…