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Online Journal of Analytic Combinatorics

ISSN Print: 1931-3365

ISSN Online:

Website: http://analytic-combinatorics.org

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Lecture notes on the Kakeya problem

Alex Iosevich

A probabilistic interpretation of a sequence related to Narayana polynomials

Tewodros Amdeberhan,Victor Hugo Moll,Christophe Vignat

Some properties of cyclic flats of an infinite matroid

Hua Mao

Generalization of a statistic on linear domino arrangements

Toufik Mansour,Mark Shattuck

On restricted arithmetic progressions over finite fields

Brian Cook,Akos Magyar

Counting Fixed-Length Permutation Patterns

Cheyne Homberger

Asymptotic probability distributions of some permutation statistics for the wreath product $C_r wr mathfrak{S}_n$

Chak-On Chow,Toufik Mansour

Centrosymmetric words avoiding 3-letter permutation patterns

Luca S. Ferrari

Enumerating finite set partitions according to the number of connectors

Toufik Mansour,Mark Shattuck

Automatic asymptotics for coefficients of smooth, bivariate rational functions

DeVries Timothy,Joris van der Hoeven,Robin Pemantle

Asymptotics of coefficients of multivariate generating functions: improvements for multiple points

Alexander Raichev,Mark C. Wilson

Some Properties of a New Class of Generalized Cauchy Numbers

Feng-Zhen Zhao

On a theorem of Shkredov

Tom Sanders

Some implications of Chu’s $_{10}psi_{10}$ extension of Bailey’s $_6psi_6$ summation formula

James McLaughlin,Andrew Sills,Peter Zimmer

Geometric construction of metaplectic covers of $GL_n$ in characteristic zero

Richard Hill

Popular difference sets

Tom Sanders

Polynomial largeness and totally ergodic sets

Alexander Fish

On Fuglede's conjecture for three intervals

Debashish Bose,C. P. Anil Kumar,R. Krishnan,Shobha Madan

Statistics on permutations

Toufik Mansour,Yidong Sun

Adelic constructions of low discrepancy sequences

Mordechay B. Levin

Integral orthogonal bases of small height for real polynomial spaces

Lenny Fukshansky

On the Average Profile of Symmetric Digital Search Trees

Charles Knessl,Wojciech Szpankowski

Avoiding permutation patterns of type $(2, 1)$ in compositions

Silvia Heubach,Toufik Mansour,Augustine Munagi

The asymptotic volume of the Birkhoff polytope

E. Rodney Canfield,Brendan D. McKay

Hankel operators plus orthogonal polynomials yield combinatorial identities

E. A. Herman

On sumsets of dissociated sets

I.D. Shkredov

Analytic Extension of hyperharmonic numbers

Istvan Mezo

On the signed small ball inequality

Dimitriy Bilyk,Michael Lacey,Armen Vagharshakyan

The discrepancy of a needle on a checkerboard

Mihail N. Kolountzakis

Garaev's inequality in finite fields not of prime order

Nets Hawk Katz,Chun-Yun Shen

An extension of Behrend's theorem

Paul H. Koester

Slices, Slabs, and Sections of the Unit Hypercube

Jean-Luc Marichal,Michael J. Mossinghoff

Longest alternating subsequences in pattern-restricted $k$-ary words

Toufik Mansour

An Elementary Proof of Thomae's Formulae

Amichai Eisenmann,Hershel M Farkas

On the recursion relation of Motzkin numbers of higher rank

Matthias Schork

Combinatorial sequences arising from a rational integral

Victor H. Moll

On the Decay of the Fourier Transform and Three Term Arithmetic Progressions

Ernie Croot

On an Argument of Shkredov on Two-Dimensional Corners

Michael T. Lacey,William McClain

On a Balanced Property of Compositions

Miklós Bóna

New combinatorial interpretations of some mock theta functions

A. K. Agarwal

Sums of Squares and Triangular Numbers

Hershel M. Farkas

A remark on Bourgain’s distributional inequality on the Fourier spectrum of Boolean functions

Hamed Hatami

On the determination of sets by their triple correlation in finite cyclic groups

Tamas Keleti,Mihail N. Kolountzakis

LEBESGUE CONSTANTS OF MULTIPLE FOURIER SERIES

E. R. Liflyand

Fixed Points of Maps on the Space of Rational Functions

Edward Mosteig

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