Extensions of a Diophantine triple by adjoining smaller elements II

Diophantine m-tuples and Elliptic Curves

An elliptic curve over Q(u) with torsion Z/4Z and rank 6

On power values of pyramidal numbers, II,

High-rank elliptic curves with given torsion group and some applications

On elliptic curves induced by rational Diophantine quadruples

Formulas for Diophantine quintuples containing two pairs of conjugates in some quadratic fields

Stjepan Bohniček (15. prosinca 1872. - 14. ožujka 1956.)

Extensions of a Diophantine triple by adjoining smaller elements

Absolute root separation

D(n)-quintuples with square elements

Diophantine m-tuples in finite fields and modular forms

Diophantine triples with largest two elements in common

Rational Diophantine sextuples containing two regular quadruples and one regular quintuple

Construction of high rank elliptic curves

Elliptic curves with torsion groups Z/8Z and Z/2Z × Z/6Z

Number Theory

Lie Groups, Number Theory, and Vertex Algebras

Triples, quadruples and quintuples which are D(n)- sets for several n's

High rank elliptic curves induced by rational Diophantine triples

D(n)-sets with square elements

Doubly regular Diophantine quadruples

Rank zero elliptic curves induced by rational Diophantine triples

Strong rational Diophantine D(q)-triples

Diophantine quadruples with the properties D(n1) and D(n2)

Rational Diophantine sextuples with square denominators

Elliptic curves induced by Diophantine triples

Products of factorials which are powers,

A Pellian equation with primes and applications to D(-1)-quadruples

Teorija brojeva

Triples and quadruples which are D(n)-sets for several n's

On fundamental units of real quadratic fields of class number 1

On the largest element in D(n)-quadruples

Triples which are D(n)-sets for several n's

On Diophantine m-tuples and D(n)-sets

Strong Eulerian triples

There are infinitely many rational Diophantine sextuples

On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields

Polynomial root separation

Triples which are D(n)-sets for several n's

Cryptanalysis of RSA and Its Variants

Applications of continued fractions in factorization and primality testing

Absolute real root separation

Generating Elliptic Curves Using the Complex Multiplication Method

Root separation for reducible monic polynomials of odd degree

There are infinitely many rational Diophantine sextuples

Absolute real root separation

More on Diophantine sextuples

Transcendental numbers

Stream Cipher RC4

Finiteness results for F-Diophantine sets

On rational Diophantine sextuples

Elliptic curves with torsion group Z/6Z

What is ... a Diophantine m-tuple?

Teorija brojeva i šifriranje

Teorija brojeva i kriptografija

Differential cryptanalysis

Rational Diophantine sextuples

Diophantine quadruples in finite fields and modular forms

Quadratic Residues and Square Roots in Public Key Cryptography

There are infinitely many rational Diophantine sextuples

II. Razred za matematičke, fizičke i kemijske znanosti

Transposition Ciphers ADFGX and ADFGVX

Block Cipher Modes of Operation

NTRU Cryptosystem

Number theory and cryptography

High-rank elliptic curves induced by Diophantine triples

The non-extensibility of D (-2k+ 1)-triples {;;1, k^ 2, k^ 2+ 2k-1};;

Elliptic curves with torsion group Z/8Z or Z/2Z × Z/6Z

The rank and generators of Kihara's elliptic curve with torsion Z/4Z over Q(t)

Root separation for reducible integer polynomials

Root separation for integer polynomials

Mordell-Weil groups of elliptic curves induced by Diophantine triples

Root separation for integer polynomials

Elliptic curves coming from Heron tringles

High rank elliptic curves with prescribed torsion group over quadratic fields

On the high rank π/3 and 2π/3 - congruent number elliptic curves

Ranks of elliptic curves with prescribed torsion over number fields

High rank elliptic curves with torsion Z/2Z × Z/4Z induced by Diophantine triples

Diophantine m-tuples with elements in arithmetic progressions

Products of three factorials

Diophantine Problems With Sums of Divisors

Some Diophantine properties of the sequence of S-units

On quadratic twists of elliptic curves y^2=x(x-1)(x-lambda)

Root separation for integer polynomials

Mordell-Weil Groups and Isogenies of the Families of Elliptic Curves

On the torsion group of elliptic curves induced by D(4)-triples

Sumsets being squares

Arithmetic progressions and Pellian equations

Indefinite binary quadratic forms

Stream ciphers

Diffie-Hellman Problem and Discrete Logarithm Problem

Geometric approach to continued fractions

Elliptic curves and triangles with three rational medians

Applications of Elliptic Curves in Cryptography

On the existence of rational Diophantine quintuples with the property D(q)

On a variation of a congruence of Subbarao

Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization

On Hall's conjecture and related polynomial Pell's equation

Root separation for reducible monic quartics

On the size of sets in a polynomial variant of a problem of Diophantus

On Hall's conjecture

Polynomial root separation and applications

Some Diophantine Problems over the Imaginary Quadratic Fields

Finite field and polynomial congruences

Internet Security

LLL Algorithm and Some Applications to Cryptography

On the rank of elliptic curves coming from rational Diophantine triples

On the sum of two divisors of (n^2 + 1)/2

On a conjecture regarding balancing with powers of Fibonacci numbers

On power values of pyramidal numbers

On a problem of Diophantus for rationals

Mordell-Weil groups of elliptic curves over number fields of small degree

Some Diophantine triples and quadruples for quadratic polynomials

On Hall's conjecture

Root separation for reducible monic quartics

Ranks of families of elliptic curves and applications to Diophantine problems

Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization

Elliptic curves of large rank over quadratic fields

Continued fraction convergents and Newton's approximants for quadratic irrationalities

Solving a family of quartic Thue inequalities using continued fractions

Root separation for irreducible integer polynomials

On the size of sets whose elements have perfect power n-shifted products

On the rank of elliptic curves over Q(i) with torsion group Z/4Z × Z/4Z

Smart Card Security in Banking

Elliptic curves

Diophantine quadruples in Z[√ -2]

On the size of sets in a polynomial variant of a problem of Diophantus

Diophantine m-tuples

Sieve Methods

Polynomial Variants of a Problem of Diophantus

High rank elliptic curves induced by Diophantine triples and congruent numbers

Cryptography in the Second World War

Elliptic Curves over Finite Fields

Quadratic Fields and Quadratic Forms

Compact Representation of Quadratic Integers and Integer Points on Elliptic Curves

Security of Micropayment Systems

Smart Cards

Elliptic equations

Rational Diophantine sextuples with mixed signs

Heights in Diophantine Geometry and Consequences of the abc-conjecture

Periodski verižni razlomci

Technologies for E-Commerce

A variant of Wiener's attack on RSA

A search for high rank congruent number elliptic curves

Generating Random Numbers

Distribution of Prime Numbers

Fermat Numbers

Perfect Numbers

Strong Diophantine triples

Digital Cash and Digital Checks

Micropayments

Applications of Continued Fractions in Diophantine Approximations and Cryptanalysis

On the number of Diophantine m-tuples

A variant of Wiener's attack on RSA

Strong Diophantine triples

A problem of Diophantus, Fermat and Euler and its generalizations

A variant of Wiener's attack on RSA with small secret exponent

Conjectures and results on the size and number of Diophantine tuples

Mestreova polinomijalna metoda za konstrukciju eliptičkih krivulja velikog ranga

Solving Congruences

Public Key Infrastructure

Convex Sets

Cryptosystems with Public Key

Factorization and ideals

Cryptography in School

Public Key Cryptography

RSA Cryptosystem

Polygraphic Substitution Ciphers

Kriptografija u školi

A polynomial variant of a problem of Diophantus for pure powers

On arithmetic progressions on Pellian equations

Strong Diophantine triples

On Worley's theorem in Diophantine approximations

Digital Signature Authentication

Pell Equation and Pythagorean Triples

Security of Bank Systems

Cryptography

ENIGMA

On Mordell-Weil groups of elliptic curves induced by Diophantine triples

Effective solution of the D(-1)-quadruple conjecture

Mordell-Weil groups of elliptic curves induced by Diophantine triples

Decomposition of a recursive family of polynomials

Construction of high rank elliptic curves and related Diophantine problems

On a problem of Diophantus with polynomials

Euclidean Algorithm

Distribution of Quadratic Residues

Complex continued fractions

Primitive Roots and Quadratic Residues

Principles of Design of Modern Block Cryptosystems

Representation of Primes by Quadratic Forms

Security of Electronic Commerce

On differences of two squares in some quadratic fields

Diophantine m-tuples and generalizations

On the family of Diophantine triples {;k-1, k+1, 16k^3-4k};

Elliptic Curves and Elliptic Functions

Algorithms for Large-Integer Multiplications

PGP - Pretty Good Privacy

Algebraic Numbers

Metode računanja ranga eliptičkih krivulja nad Q(T)

Transposition Ciphers

Error-correcting Codes and McEliece Cryptosystem

Steganography: Hiding Information in Images

Markov Chain

Indecomposability of polynomials and related Diophantine equations

Digital Watermarking

Diofantske jednadžbe nad funkcijskim poljima

Diophantine m-tuples for linear polynomials. II. Equal degrees

High rank elliptic curves with prescribed torsion group

On the D(-1)-quadruple conjecture

Modern Block Ciphers

Systems of Pellian Equations and the Problem of Extension of Some Diophantine Triples

Diophantine m-tuples and connections with eliptic curves

Topological Convex Structures

Diophantine quadruples in quadratic fields

Roth's Theorem

Steganography

Digital Signature and Digital Money

Arithmetic Functions

Internet Security and SSL Protocol

Fibonacci numbers and sets with the property D(4)

Complete solution of a problem of Diophantus and Euler

Square roots with many good approximants

Diophantine m-tuples for primes

On the indecomposabilty of polynomials

Discrete logarithm problem for elliptic curves

Asymptotic estimates for the number of Diophantine m-tuples

Diophantine m-tuples

Vigenereova šifra

On a problem of Diophantus and Euler

Newton's approximants and continued fractions

A family of quartic Thue inequalities

Shannon's Theory

Continued fractions and RSA with small secret exponent

Bounds for the size of sets with the property D(n)

Complete solution of the polynomial version of a problem of Diophantus

There are only finitely many Diophantine quintuples

RC6 Cryptosystem

Primjena LLL-algoritma u rješavanju diofantskih jednadžbi

Matematičke osnove kriptografije javnog ključa

Monoalphabetic Substitution Ciphers

History of Cryptography

Mordell-Weil theorem

Continued Fractions and Their Applications

DES Cryptosystem

Fermat's Little Theorem and Its Consequences

Congruences of Integers and Polynomials

On Diophantine quintuple conjecture

Construction of elliptic curves over Q with large rank

Primality Testing

Zero-knowledge Proofs

Statistical Properties of Arithmetic Functions

Knapsack Problem and Applications in Cryptography

Continued fractions and RSA with small secret exponent

A polynomial variant of a problem of Diophantus and Euler

On a problem of Diophantus for higher powers

Kneser's Theorem

Congruent numbers and elliptic curves

Modular functions and complex multiplication of elliptic curves

Mordell's theorem

Mersenne Numbers and Perfect Numbers

Diophantine m-tuples for linear polynomials

On the size of Diophantine m-tuples

An extension of an old problem of Diophantus and Euler. II

An interesting property of a recurrence related to the Fibonacci sequence

A parametric family of quartic Thue equations

An example of elliptic curve over Q with rank equal to 15

Construction of high-rank elliptic curves with non-trivial torsion group

Hash Functions in Cryptography

Fibonacci Numbers and the Golden Section

Diffie-Hellman Key Distribution Protocol

Discrete Logarithm Problem

Primality Tests

Polyalphabetic Ciphers

Pierre de Fermat (1601.-1665.)

Diophantine m-tuples and elliptic curves

Newton's formula and continued fraction expansion of sqrt(d)

An absolute bound for the size of Diophantine m-tuples

Twoparametric family of quartic Thue equations

Diophantine equations for second order recursive sequences of polynomials

Diophantine triples and construction of high-rank elliptic curves over Q with three non-trivial 2-torsion points

Irregular Diophantine m-tuples and elliptic curves of high rank

Fibonaccijevi brojevi

A parametric family of elliptic curves

A note on Diophantine quintuples

Integer points on a family of elliptic curves

A proof of the Hoggatt-Bergum conjecture

A bijective proof of Riordan's theorem on powers of Fibonacci numbers

An extension of an old problem of Diophantus and Euler

Some estimates of the number of Diophantine quadruples

A problem of Diophantus and Pell numbers

On the exceptional set in the problem of Diophantus and Davenport

A problem of Diophantus and Dickson's conjecture

Diophantine quadruples and quintuples modulo 4

Complete solution of a family of simultaneous Pellian equations

A generalization of a theorem of Baker and Davenport

On Diophantine quintuples

The problem of Diophantus and Davenport

Complete solutions of certain families of simultaneous Pellian equations

The problem of the extension of a parametric family of Diophantine triples

The problem of Diophantus and Davenport for Gaussian integers

Some polynomial formulas for Diophantine quadruples

Generalized Fibonacci numbers and the problem of Diophantus

Matematička natjecanja učenika srednjih škola (izbor zadataka)

Diophantine quadruples for squares of Fibonacci and Lucas numbers

Generalization of a problem of Diophantus