Everything about Multiplicative order

🧭 Start here: a 6-step reading path

1. Read the overview: Multiplicative orderA 5-minute orientation
2. Skim a recent paper: A Fractional-Order Telegraph Diffusion Model for Restoring Texture Images with Multiplicative NoiseInfluential work since 2022
3. Pick up a classic book: Fence MethodsThe most-reprinted book on the subject
4. Read the landmark paper: Higher order Fourier analysis of multiplicative functions and applicationsCited 40 times
5. Go sideways: Multiplicative group of integers modulo nA closely related topic
6. Go sideways: Primitive root modulo nA closely related topic

🏆 Landmark papers (most cited)

• Higher order Fourier analysis of multiplicative functions and applications

  Nikos Frantzikinakis, Bernard Host · 2016 · Journal of the American Mathematical Society · 40 citations

• Fractional-order diffusion coupled with integer-order diffusion for multiplicative noise removal

  Chengxue Li, Chuanjiang He · 2023 · Computers & Mathematics with Applications · 34 citations

• A Higher-Order MRF Based Variational Model for Multiplicative Noise Reduction

  Yunjin Chen, Wensen Feng, Rene Ranftl · 2014 · IEEE Signal Processing Letters · 34 citations

• MULTIPLICATIVE ORDER OF GAUSS PERIODS

  OMRAN AHMADI, IGOR E. SHPARLINSKI, JOSÉ FELIPE VOLOCH · 2010 · International Journal of Number Theory · 20 citations

• Multiplicative Noise and Second Order Phase Transitions

  Alon Manor, Nadav M. Shnerb · 2009 · Physical Review Letters · 19 citations

• Second-order stochastic leapfrog algorithm for multiplicative noise Brownian motion

  Ji Qiang, Salman Habib · 2000 · Physical Review E · 19 citations

• The Undecidability of Second Order Multiplicative Linear Logic

  Yves Lafont, Andre Scedrov · 1996 · Information and Computation · 14 citations

• Fractional-order cross-diffusion system for multiplicative noise removal

  Juanjuan Gao, Jiebao Sun, Shengzhu Shi · 2024 · Computers & Mathematics with Applications · 14 citations

🆕 Influential since 2022

• A Fractional-Order Telegraph Diffusion Model for Restoring Texture Images with Multiplicative Noise

  Xiangyu Bai, Dazhi Zhang, Shengzhu Shi · 2023 · Fractal and Fractional · 15 citations

• Fixed-Order Chemical Trees with Given Segments and Their Maximum Multiplicative Sum Zagreb Index

  Akbar Ali, Sadia Noureen, Abdul Moeed · 2024 · Mathematics · 9 citations

• Higher order time discretization for the stochastic semilinear wave equation with multiplicative noise

  Xiaobing Feng, Akash Ashirbad Panda, Andreas Prohl · 2023 · IMA Journal of Numerical Analysis · 8 citations

• Higher Order Time Discretization Method for the Stochastic Stokes Equations with Multiplicative Noise

  Liet Vo · 2023 · Journal of Scientific Computing · 7 citations

• Higher-Order Multiplicative Derivative Iterative Scheme to Solve the Nonlinear Problems

  Gurjeet Singh, Sonia Bhalla, Ramandeep Behl · 2023 · Mathematical and Computational Applications · 5 citations

📚 Books worth reading

• 📕Fence MethodsJiming Jiang, Thuan Nguyen · 2015
• Green functions for ordered and disordered systemsAntonios Gonis · 1992
• Scattering and localization of classical waves in random mediaPing Sheng · 1990
• 📕Colored operadsDonald Y. Yau · 2016
• 📕Topics in Hyperplane ArrangementsMarcelo Aguiar, Swapneel Mahajan · 2017
• 📕Separable AlgebrasTimothy J. Ford · 2017
• 📕Model Theory of Modules, Algebras and CategoriesAlberto Facchini, Lorna Gregory · 2019
• The Expected KnowledgeSivashanmugam Palaniappan · 2012

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

• Multiplicative group of integers modulo n In modular arithmetic, the integers coprime (relatively prime) to n from the set {0,1,…,n−1} of n non-negative integers form a group under multiplication…
• Primitive root modulo n In number theory, a number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n. In symbols, g is a primitive…
• Modular arithmetic In mathematics, modular arithmetic is a system of arithmetic operations for integers, differing from the usual ones in that numbers "wrap around" when…
• Euler's theorem In number theory, Euler's theorem (also known as the Fermat–Euler theorem or Euler's totient theorem) states that, if n and a are coprime positive integers…
• Modular multiplicative inverse In mathematics, particularly in the area of arithmetic, a modular multiplicative inverse of an integer a is an integer x such that the product ax is congruent…
• Carmichael function In number theory, a branch of mathematics, the Carmichael function λ(n) of a positive integer n is the smallest positive integer m such that am≡1(modn)…
• Coprime integers In number theory, two integers a and b are coprime, relatively prime or mutually prime if the only positive integer that is a divisor of both of them is…
• Group isomorphism In abstract algebra, a group isomorphism is a function between two groups that sets up a bijection between the elements of the groups in a way that respects…