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Automorphic number information


In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base whose square "ends" in the same digits as the number itself.

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Automorphic number

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In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b {\displaystyle b} whose...

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Automorphic form

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In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group G to the complex numbers (or complex vector...

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Automorphic

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Look up automorphic or automorphism in Wiktionary, the free dictionary. Automorphic may refer to Automorphic number, in mathematics Automorphic form, in...

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Langlands program

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Langlands (1967, 1970), it seeks to relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local...

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5

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in decimal, a base in-which five is also the first non-trivial 1-automorphic number). 5 is also an Eisenstein prime (like 11) with no imaginary part and...

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Composite number

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A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has...

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List of recreational number theory topics

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Practical number Juggler sequence Look-and-say sequence Polydivisible number Automorphic number Armstrong number Self number Harshad number Keith number Kaprekar...

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Prime number

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A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that...

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Number theory

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forms (and, more generally, automorphic forms) also occupies an increasingly central place in the toolbox of analytic number theory. One may ask analytic...

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Fibonacci sequence

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In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci...

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Kaprekar number

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Arithmetic dynamics Automorphic number Dudeney number Factorion Happy number Kaprekar's constant Meertens number Narcissistic number Perfect digit-to-digit...

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Happy number

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In number theory, a happy number is a number which eventually reaches 1 when replaced by the sum of the square of each digit. For instance, 13 is a happy...

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Automorphic factor

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In mathematics, an automorphic factor is a certain type of analytic function, defined on subgroups of SL(2,R), appearing in the theory of modular forms...

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Analytic number theory

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describing the density of the zeros on the critical line. Automorphic L-function Automorphic form Langlands program Maier's matrix method Apostol 1976...

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Natural number

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the number 1 differently than larger numbers, sometimes even not as a number at all. Euclid, for example, defined a unit first and then a number as a...

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