Integer sequences

Results: 1364



#Item
861Binary arithmetic / Linear feedback shift register / Prime number / Polynomial / Sequence / Mathematics / Pseudorandom number generators / Integer sequences

A Comment on \Bound for Linear Complexity of BBS Sequences" Sean Murphy Information Security Group Royal Holloway University of London

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Source URL: www.isg.rhul.ac.uk

Language: English - Date: 2005-11-30 04:38:50
862Number theory / Field theory / Prime numbers / Factorial / Prime-counting function / Finite field / Binomial coefficient / Transcendental number / Mathematics / Combinatorics / Integer sequences

THE AVERAGE ORDER OF ELEMENTS IN THE MULTIPLICATIVE GROUP OF A FINITE FIELD YILAN HU AND CARL POMERANCE A BSTRACT. We consider the average multiplicative order of a nonzero element in a finite field and compute the mean

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2012-01-12 11:42:57
863Algebraic numbers / Combinatorics / Integer sequences / Number theory / Fibonacci number / Root of unity / Algebraic integer / Factorial / Euclidean algorithm / Mathematics / Numbers / Algebraic number theory

On the local behavior of the order of appearance in the Fibonacci sequence Florian Luca Fundaci´on Marcos Moshinsky, UNAM Circuito Exterior, C.U., Apdo. Postal[removed]Mexico D.F[removed], Mexico

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2013-08-15 15:09:45
864Mathematical series / Complex analysis / Integer sequences / Number theory / Inverse trigonometric functions / Pi / 2K / Factorial / Sine / Mathematics / Mathematical analysis / Trigonometry

11 Termwise Higher Derivative (Inv-Trigonometric, Inv-Hyperbolic[removed]Termwise Higher Derivative of Inverse Trigonometric Functions[removed]Termwise Higher Derivative of arctan x , arccot x Formula[removed]When  is cei

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Source URL: fractional-calculus.com

Language: English - Date: 2013-11-18 03:50:06
865Number theory / Integer sequences / Mathematical series / 2K / Inverse trigonometric functions / Factorial / Pi / Ramanujan summation / Wallis product / Mathematics / Mathematical analysis / Complex analysis

06 Termwise Higher Integral (Inv-Trigonometric, Inv-Hyperbolic) The 2nd or more order integrals of Inverse Trigonometric Functions and Inverse Hyperbolic Functions were all shown in 4.4 and[removed]However, as for these, t

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Source URL: fractional-calculus.com

Language: English - Date: 2013-11-10 10:41:25
866Analytic number theory / Integer sequences / Prime numbers / Group theory / Prime-counting function / Prime number theorem / Elliptic curve / Riemann hypothesis / Factorial / Mathematics / Number theory / Mathematical analysis

Rank statistics for a family of elliptic curves over a function field Carl Pomerance Department of Mathematics, Dartmouth College Hanover, NH[removed], USA [removed]

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2008-03-19 13:19:05
867Number theory / Mathematical series / Trigonometry / Real analysis / Taylor series / Euler number / Trigonometric functions / Bernoulli number / Riemann zeta function / Mathematical analysis / Mathematics / Integer sequences

3 Formulas for Riemann Zeta at odd number Formulas for Zeta at odd number obtained in " 1 Zeta Generating Functions " were automorphisms which were expressed by the lower zetas. In this chapter, removing the lower zetas,

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Source URL: fractional-calculus.com

Language: English - Date: 2013-11-12 03:41:00
868Integer sequences / Summability methods / Bernoulli polynomials / Polynomials / Bernoulli number / Euler–Maclaurin formula / Binomial coefficient / Summation / Euler summation / Mathematics / Mathematical analysis / Number theory

4 Euler-Maclaurin Summation Formula 4.1 Bernoulli Number & Bernoulli Polynomial[removed]Definition of Bernoulli Number Bernoulli numbers Bk (k =1, 2, 3, ) are defined as coefficients of the following equation.

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Source URL: fractional-calculus.com

Language: English - Date: 2013-11-10 10:09:05
869Number theory / Combinatorics / Prime numbers / Complex analysis / Binomial coefficient / Factorial / Natural density / Prime-counting function / Pi / Mathematics / Mathematical analysis / Integer sequences

Divisors of the middle binomial coefficient Carl Pomerance Mathematics Department, Dartmouth College, Hanover, NH 03755, USA [removed] December 20, 2013

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2013-12-21 18:24:33
870Divisor function / Arithmetic functions / Aliquot sequence / Sociable number / Perfect number / Prime number / Normal distribution / Mathematics / Integer sequences / Number theory

ON THE DISTRIBUTION OF SOCIABLE NUMBERS MITSUO KOBAYASHI, PAUL POLLACK, AND CARL POMERANCE Abstract. For a positive integer n, define s(n) as the sum of the proper divisors of n. If s(n) > 0, define s2 (n) = s(s(n)), and

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2008-10-07 10:39:54
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