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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…
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…
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 ≥…
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…
Approximating models Nancy Reid University of Toronto Oxford February 6 wwwutstatutorontoreidresearch 1 1 Context – Likelihood based inference model fy θ log likelihood…
May 14, 2010 9.5 Series Summation Notation: Σ akk=1 n the sum of ak from k = 1 to n Find the sums. 1. Σ 3k 2. Σ k2 3. Σ cos nπ 4. Σ sin nπ 5. Σ 3 10k k=1 k=1 5 8…