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Everything about Automorphic number
Number whose square ends in the same digits
In mathematics, an automorphic number is a natural number in a given number base whose square "ends" in the same digits as the number itself. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Automorphic numberA 5-minute orientation
- Skim a recent paper: On one way making automorphic numbersInfluential work since 2022
- Pick up a classic book: Collected PapersThe most-reprinted book on the subject
- Read the landmark paper: Perron’s Formula and the Prime Number Theorem for Automorphic L-FunctionsCited 63 times
- Go sideways: Witt vectorA closely related topic
- Go sideways: Monsky–Washnitzer cohomologyA closely related topic
đź“– Definitions
Noun A number whose decimal representation of its square ends in itself.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Perron’s Formula and the Prime Number Theorem for Automorphic L-Functions
On some applications of automorphic forms to number theory
Automorphic forms and algebraic extensions of number fields
Hypothesis H and the prime number theorem for automorphic representations
Hybrid bounds for automorphic forms on ellipsoids over number fields
A tighter bound for the number of words of minimum length in an automorphic orbit
Spectral decompositions of certain automorphic functions and their number-theoretic applications
The generalized prime number theorem for automorphic L-functions
🆕 Influential since 2022
đź“š Books worth reading
Collected PapersGoro Shimura · 2002
Elementary theory of L-functions and Eisenstein seriesHaruzo Hida · 1993
Quadratic And Higher Degree FormsKrishnaswami Alladi · 2013
Conformal Field Theory, Automorphic Forms and Related TopicsWinfried Kohnen, Rainer Weissauer · 2014
Automorphic FormsAnton Deitmar · 2012
Automorphic FormsBernhard Heim, Mehiddin Al-Baali · 2014- 📕Automorphic functions and number theoryGoro Shimura · 1968
Contributions to automorphic forms, geometry, and number theoryHaruzo Hida, Dinakar Ramakrishnan · 2004
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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