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Displaying 1561 – 1580 of 1815

The connections between continued fraction representations of units and certain Hecke groups.

Sahin, R., Ikikardes, S., Koruoğlu, Ö., Cangül, İ.N. (2010)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

The cube of the Fermat quotient.

Dilcher, Karl, Skula, Ladislav (2006)

Integers

The cubic mapping graph for the ring of Gaussian integers modulo $n$

Yangjiang Wei, Jizhu Nan, Gaohua Tang (2011)

Czechoslovak Mathematical Journal

The article studies the cubic mapping graph $Γ (n)$ of $ℤ_{n} [i]$ , the ring of Gaussian integers modulo $n$ . For each positive integer $n > 1$ , the number of fixed points and the in-degree of the elements $\bar{1}$ and $\bar{0}$ in $Γ (n)$ are found. Moreover, complete characterizations in terms of $n$ are given in which $Γ_{2} (n)$ is semiregular, where $Γ_{2} (n)$ is induced by all the zero-divisors of $ℤ_{n} [i]$ .

The cyclotomic numbers of order twenty

Joseph Muskat, A. Whiteman (1970)

Acta Arithmetica

The determination of all four-digit Kaprekar constants.

H. Hasse, G.D. Prichett (1978)

Journal für die reine und angewandte Mathematik

The digits of 1/p in connection with class number factors

Kurt Girstmair (1994)

Acta Arithmetica

The diophantine equation $a x^{2} + b x y + c y^{2} = N, D = b^{2} - 4 a c > 0$

Keith Matthews (2002)

Journal de théorie des nombres de Bordeaux

We make more accessible a neglected simple continued fraction based algorithm due to Lagrange, for deciding the solubility of $a x^{2} + b x y + c y^{2} = N$ in relatively prime integers $x, y$ , where $N \neq 0$ , gcd $(a, b, c) = gcd (a, N) = 1 et D = b^{2} - 4 a c > 0$ is not a perfect square. In the case of solubility, solutions with least positive y, from each equivalence class, are also constructed. Our paper is a generalisation of an earlier paper by the author on the equation $x^{2} - D y^{2} = N$ . As in that paper, we use a lemma on unimodular matrices that gives a much simpler proof than Lagrange’s for...

The Diophantine equation $A X^{2} - B Y^{2} = C$ solved via continued fractions.

Mollin, R.A., Cheng, K., Goddard, B. (2002)

Acta Mathematica Universitatis Comenianae. New Series

The discrete logarithm problem over prime fields: the safe prime case. The Smart attack, non-canonical lifts and logarithmic derivatives

Gopalakrishna Hejmadi Gadiyar, Ramanathan Padma (2018)

Czechoslovak Mathematical Journal

We connect the discrete logarithm problem over prime fields in the safe prime case to the logarithmic derivative.

The distribution of Farey numbers.

A. Zulauf (1977)

Journal für die reine und angewandte Mathematik

The distribution of the sum-of-digits function

Michael Drmota, Johannes Gajdosik (1998)

Journal de théorie des nombres de Bordeaux

By using a generating function approach it is shown that the sum-of-digits function (related to specific finite and infinite linear recurrences) satisfies a central limit theorem. Additionally a local limit theorem is derived.

Currently displaying 1561 – 1580 of 1815

Previous Page 79 Next

Displaying 1561 – 1580 of 1815

The connections between continued fraction representations of units and certain Hecke groups.

The cube of the Fermat quotient.

The cubic mapping graph for the ring of Gaussian integers modulo $n$

The cyclotomic numbers of order twenty

The determination of all four-digit Kaprekar constants.

The digits of 1/p in connection with class number factors

The diophantine equation $a x^{2} + b x y + c y^{2} = N, D = b^{2} - 4 a c > 0$

The Diophantine equation $A X^{2} - B Y^{2} = C$ solved via continued fractions.

The discrete logarithm problem over prime fields: the safe prime case. The Smart attack, non-canonical lifts and logarithmic derivatives

The distribution of Farey numbers.

The distribution of the sum-of-digits function

The distribution of totients.

The divisibility of $a^{n} - b^{n}$ by powers of $n$ .

The divisor function on residue classes I

The Elements of K2 (...s).

The eleventh power character of 2.

The enumeration of simple permutations.

The existence of solutions of the generalized pseudoprime congruence $a^{f (n)} \equiv b^{f (n)} (m o d n)$

The factor-difference set of integers

The factorial representations of integers and the Eratosthenes sieve

Currently displaying 1561 – 1580 of 1815