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Everything about Mertens function
Summatory function of the Möbius function
In number theory, the Mertens function is defined for all positive integers n as Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Mertens functionA 5-minute orientation
- Skim a recent paper: A formula for Mertens' function and its applicationsInfluential work since 2022
- Pick up a classic book: Sleep psychiatryThe most-reprinted book on the subject
- Read the landmark paper: Computations of the Mertens function and improved bounds on the Mertens conjectureCited 18 times
- Go sideways: Liouville functionA closely related topic
- Go sideways: Montgomery's pair correlation conjectureA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Computations of the Mertens function and improved bounds on the Mertens conjecture
On the spectral radius of a (0,1) matrix related to Mertens' function
On the Order of the Mertens Function
A sparser matrix representation of the Mertens function
Randomness of Möbius coefficients and Brownian motion: growth of the Mertens function and the Riemann hypothesis
Symmetric matrices related to the Mertens function
ON THE MERTENS CONJECTURE FOR FUNCTION FIELDS
On estimates of the Mertens function
🆕 Influential since 2022
📚 Books worth reading
Sleep psychiatryLouis G. Keith · 2004
From Quackery to Credibility. Unconventional Healthcare in the Era of HighTech Medicine.Gilbert Mertens · 2000
Functional Herbal Medicines. Taking Advantage of the Science Factor.Gilbert Mertens · 2000- 📕Discrimination of short-duration (two pulse) flashes as a function of signal luminance and method of measurementHenry W. Mertens · 1971
Handbook of hyperthyroidismLionel Mertens · 2009
CANCER. Targeting Killer CellsGilbert Mertens · 2009- 📕Reaction time as a function of flash luminance and durationMark F. Lewis · 1967
Nonverbal behavior in clinical settingsRobert S. Feldman · 2003
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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