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Everything about Multiple zeta function
Generalizations of the Riemann zeta function
In mathematics, the multiple zeta functions are generalizations of the Riemann zeta function, defined by Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Multiple zeta functionA 5-minute orientation
- Skim a recent paper: Explicit values of a q-multiple zeta-star function at roots of unityInfluential work since 2022
- Pick up a classic book: Distribution of Prime NumbersThe most-reprinted book on the subject
- Read the landmark paper: Fast algorithms for multiple evaluations of the Riemann zeta functionCited 61 times
- Go sideways: Liouville functionA closely related topic
- Go sideways: Particular values of the Riemann zeta functionA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Fast algorithms for multiple evaluations of the Riemann zeta function
The Multiple Hurwitz Zeta Function and the Multiple Hurwitz-Euler Eta Function
Series involving the Zeta function and multiple Gamma functions
On Schur multiple zeta functions: A combinatoric generalization of multiple zeta functions
The Multiple Hurwitz Zeta Function and a Generalization of Lerch's Formula
On multiple Hurwitz zeta-function values at rational arguments
Multiple Positivity and the Riemann Zeta-Function
Finite multiple zeta values, symmetric multiple zeta values and unified multiple zeta functions
🆕 Influential since 2022
Explicit values of a q-multiple zeta-star function at roots of unity
Some explicit values of a q-multiple zeta function at roots of unity
Euler’s integral, multiple cosine function and zeta values
Functional equation of Mordell–Tornheim multiple zeta function
IDENTITIES OF A GENERAL MULTIPLE HURWITZ-LERCH ZETA FUNCTION AND APPLICATIONS
📚 Books worth reading
Distribution of Prime NumbersDimitris Koukoulopoulos · 2019- 📕Lectures on the Riemann zeta functionHenryk Iwaniec · 2014
Introduction to analytic and probabilistic number theoryGérald Tenenbaum · 2015- 📕A course in analytic number theoryMarius Overholt · 2014
- 📕Scholar, a scientific celebration highlighting open lines of arithmetic researchAlina Carmen Cojocaru, Chantal David · 2015
- 📕Frobenius distributionsDavid R. Kohel, Igor E. Shparlinski · 2016
Feynman amplitudes, periods, and motivesLuis Álvarez-Cónsul, Kurusch Ebrahimi-Fard · 2015
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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