LOWER BOUNDS FOR PERIODS OF DUCCI SEQUENCES

DOI10.1017/S0004972719001187zbMath1450.11018arXiv1909.04462OpenAlexW3105858345MaRDI QIDQ3295164

Florian Breuer, Igor E. Shparlinski

Publication date: 8 July 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.04462

zbMATH Keywords

partitionfinite fieldmultiplicative orderDucci sequence

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Special sequences and polynomials (11B83)

Related Items (1)

Multiplicative orders of Gauss periods and the arithmetic of real quadratic fields

Uses Software

• OEIS

Cites Work

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• Elements of high order in finite fields of the form
• Iterations of linear maps over finite fields
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• Wieferich's criterion and the abc-conjecture
• Cycles of differences of integers
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• Some properties of circulant matrices with Ducci sequences
• Sharpening of the explicit lower bounds for the order of elements in finite field extensions based on cyclotomic polynomials
• MULTIPLICATIVE ORDER OF GAUSS PERIODS
• Ducci Matrices
• Linear equations with rational fractions of bounded height and stochastic matrices
• Artin's Primitive Root Conjecture – A Survey
• PERIODS OF DUCCI SEQUENCES AND ODD SOLUTIONS TO A PELLIAN EQUATION
• On the periods of the linear congruential and power generators
• On a Class of Partitions with Distinct Summands

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