Moments of Random Multiplicative Functions and Truncated Characteristic Polynomials
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Publication:2987034
DOI10.1093/qmath/haw026zbMath1418.11139arXiv1505.03378OpenAlexW2962981400MaRDI QIDQ2987034
Publication date: 17 May 2017
Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.03378
random multiplicative functionsmultiplicative Rademacher variablesmultiplicative Steinhaus variables
Arithmetic functions in probabilistic number theory (11K65) Distribution functions associated with additive and positive multiplicative functions (11N60) Relations with random matrices (11M50)
Related Items (12)
High pseudomoments of the Riemann zeta function ⋮ On consecutive values of random completely multiplicative functions ⋮ Moments of polynomials with random multiplicative coefficients ⋮ Extremal bounds for Dirichlet polynomials with random multiplicative coefficients ⋮ Some open questions in analysis for Dirichlet series ⋮ Partial sums of typical multiplicative functions over short moving intervals ⋮ Better than square-root cancellation for random multiplicative functions ⋮ SHIFTED MOMENTS OF ‐FUNCTIONS AND MOMENTS OF THETA FUNCTIONS ⋮ Moments of random multiplicative functions. II: High moments ⋮ MOMENTS OF RANDOM MULTIPLICATIVE FUNCTIONS, I: LOW MOMENTS, BETTER THAN SQUAREROOT CANCELLATION, AND CRITICAL MULTIPLICATIVE CHAOS ⋮ On superorthogonality ⋮ A paucity problem associated with a shifted integer analogue of the divisor function
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