Asymptotics of D(q)-pairs and triples via L-functions of Dirichlet characters

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

Extensions of a Diophantine triple by adjoining smaller elements II

Diophantine m-tuples and Elliptic Curves

On power values of pyramidal numbers, II,

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

Absolute root separation

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

Extensions of a Diophantine triple by adjoining smaller elements

On elliptic curves induced by rational Diophantine quadruples

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

Rational Diophantine sextuples containing two regular quadruples and one regular quintuple

Diophantine m-tuples in finite fields and modular forms

Lie Groups, Number Theory, and Vertex Algebras

Number Theory

Construction of high rank elliptic curves

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

Diophantine triples with largest two elements in common

D(n)-quintuples with square elements

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

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

D(n)-sets with square elements

High rank elliptic curves induced by rational Diophantine triples

Strong rational Diophantine D(q)-triples

Doubly regular Diophantine quadruples

Rank zero elliptic curves induced by rational Diophantine triples

Products of factorials which are powers,

Rational Diophantine sextuples with square denominators

On fundamental units of real quadratic fields of class number 1

Teorija brojeva

Elliptic curves induced by Diophantine triples

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

On the largest element in D(n)-quadruples

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

Strong Eulerian triples

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

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

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

Root separation for reducible monic polynomials of odd degree

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

Generating Elliptic Curves Using the Complex Multiplication Method

Cryptanalysis of RSA and Its Variants

More on Diophantine sextuples

Polynomial root separation

There are infinitely many rational Diophantine sextuples

Absolute real root separation

There are infinitely many rational Diophantine sextuples

Absolute real root separation

Applications of continued fractions in factorization and primality testing

Teorija brojeva i kriptografija

Elliptic curves with torsion group Z/6Z

Stream Cipher RC4

Finiteness results for F-Diophantine sets

Rational Diophantine sextuples

Differential cryptanalysis

There are infinitely many rational Diophantine sextuples

Diophantine quadruples in finite fields and modular forms

Transcendental numbers

On rational Diophantine sextuples

Teorija brojeva i šifriranje

What is ... a Diophantine m-tuple?

Quadratic Residues and Square Roots in Public Key Cryptography

Transposition Ciphers ADFGX and ADFGVX

Number theory and cryptography

High-rank elliptic curves induced by Diophantine triples

II. Razred za matematičke, fizičke i kemijske znanosti

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

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

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

NTRU Cryptosystem

Block Cipher Modes of Operation

Ranks of elliptic curves with prescribed torsion over number fields

Diophantine m-tuples with elements in arithmetic progressions

Products of three factorials

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

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

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

Diophantine Problems With Sums of Divisors

Root separation for integer polynomials

Mordell-Weil groups of elliptic curves induced by Diophantine triples

Elliptic curves coming from Heron tringles

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

Some Diophantine properties of the sequence of S-units

High rank elliptic curves with prescribed torsion group over quadratic fields

Root separation for integer polynomials

Root separation for integer polynomials

Root separation for reducible integer polynomials

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

Stream ciphers

Diffie-Hellman Problem and Discrete Logarithm Problem

Geometric approach to continued fractions

Arithmetic progressions and Pellian equations

Elliptic curves and triangles with three rational medians

Indefinite binary quadratic forms

Applications of Elliptic Curves in Cryptography

Sumsets being squares

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

Internet Security

On power values of pyramidal numbers

On the rank of elliptic curves coming from rational Diophantine triples

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

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

On a conjecture regarding balancing with powers of Fibonacci numbers

Root separation for reducible monic quartics

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

Polynomial root separation and applications

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

Some Diophantine Problems over the Imaginary Quadratic Fields

Finite field and polynomial congruences

On Hall's conjecture

LLL Algorithm and Some Applications to Cryptography

On a variation of a congruence of Subbarao

On a problem of Diophantus for rationals

Some Diophantine triples and quadruples for quadratic polynomials

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

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

Root separation for reducible monic quartics

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

Elliptic curves of large rank over quadratic fields

Continued fraction convergents and Newton's approximants for quadratic irrationalities

Ranks of families of elliptic curves and applications to Diophantine problems

Solving a family of quartic Thue inequalities using continued fractions

Root separation for irreducible integer polynomials

On Hall's conjecture

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

Diophantine quadruples in Z[√ -2]

High rank elliptic curves induced by Diophantine triples and congruent numbers

Elliptic Curves over Finite Fields

Cryptography in the Second World War

Compact Representation of Quadratic Integers and Integer Points on Elliptic Curves

Smart Card Security in Banking

Sieve Methods

Polynomial Variants of a Problem of Diophantus

Diophantine m-tuples

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

Elliptic curves

Quadratic Fields and Quadratic Forms

Perfect Numbers

Security of Micropayment Systems

Distribution of Prime Numbers

Generating Random Numbers

Technologies for E-Commerce

Smart Cards

Micropayments

Fermat Numbers

Digital Cash and Digital Checks

Rational Diophantine sextuples with mixed signs

A variant of Wiener's attack on RSA

A search for high rank congruent number elliptic curves

Heights in Diophantine Geometry and Consequences of the abc-conjecture

Periodski verižni razlomci

Elliptic equations

Strong Diophantine triples

Cryptography in School

Pell Equation and Pythagorean Triples

A problem of Diophantus, Fermat and Euler and its generalizations

RSA Cryptosystem

Kriptografija u školi

Security of Bank Systems

Digital Signature Authentication

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

Mestreova polinomijalna metoda za konstrukciju eliptičkih krivulja velikog ranga

On Worley's theorem in Diophantine approximations

A polynomial variant of a problem of Diophantus for pure powers

Polygraphic Substitution Ciphers

On the number of Diophantine m-tuples

Cryptosystems with Public Key

On arithmetic progressions on Pellian equations

Solving Congruences

Applications of Continued Fractions in Diophantine Approximations and Cryptanalysis

Convex Sets

Public Key Cryptography

A variant of Wiener's attack on RSA

Factorization and ideals

Strong Diophantine triples

Public Key Infrastructure

Conjectures and results on the size and number of Diophantine tuples

Strong Diophantine triples

Primitive Roots and Quadratic Residues

Distribution of Quadratic Residues

Euclidean Algorithm

Representation of Primes by Quadratic Forms

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

On differences of two squares in some quadratic fields

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

Cryptography

On a problem of Diophantus with polynomials

Mordell-Weil groups of elliptic curves induced by Diophantine triples

Diophantine m-tuples and generalizations

Construction of high rank elliptic curves and related Diophantine problems

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

Decomposition of a recursive family of polynomials

ENIGMA

Security of Electronic Commerce

Principles of Design of Modern Block Cryptosystems

Complex continued fractions

Transposition Ciphers

Algorithms for Large-Integer Multiplications

On the D(-1)-quadruple conjecture

High rank elliptic curves with prescribed torsion group

Error-correcting Codes and McEliece Cryptosystem

Steganography: Hiding Information in Images

Indecomposability of polynomials and related Diophantine equations

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

Markov Chain

Elliptic Curves and Elliptic Functions

PGP - Pretty Good Privacy

Algebraic Numbers

Metode računanja ranga eliptičkih krivulja nad Q(T)

Digital Watermarking

Diofantske jednadžbe nad funkcijskim poljima

Modern Block Ciphers

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

Discrete logarithm problem for elliptic curves

On the indecomposabilty of polynomials

Square roots with many good approximants

Fibonacci numbers and sets with the property D(4)

Complete solution of a problem of Diophantus and Euler

Diophantine m-tuples for primes

Internet Security and SSL Protocol

Arithmetic Functions

Digital Signature and Digital Money

Steganography

Asymptotic estimates for the number of Diophantine m-tuples

Diophantine m-tuples and connections with eliptic curves

Diophantine m-tuples

Roth's Theorem

Diophantine quadruples in quadratic fields

Topological Convex Structures

Shannon's Theory

Matematičke osnove kriptografije javnog ključa

Vigenereova šifra

Monoalphabetic Substitution Ciphers

Primjena LLL-algoritma u rješavanju diofantskih jednadžbi

On a problem of Diophantus and Euler

Newton's approximants and continued fractions

Complete solution of the polynomial version of a problem of Diophantus

Continued fractions and RSA with small secret exponent

There are only finitely many Diophantine quintuples

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

RC6 Cryptosystem

Mordell-Weil theorem

History of Cryptography

A family of quartic Thue inequalities

Knapsack Problem and Applications in Cryptography

Primality Testing

Fermat's Little Theorem and Its Consequences

Continued Fractions and Their Applications

Mersenne Numbers and Perfect Numbers

Modular functions and complex multiplication of elliptic curves

Construction of elliptic curves over Q with large rank

Congruent numbers and elliptic curves

On a problem of Diophantus for higher powers

Statistical Properties of Arithmetic Functions

On Diophantine quintuple conjecture

Kneser's Theorem

Zero-knowledge Proofs

A polynomial variant of a problem of Diophantus and Euler

Congruences of Integers and Polynomials

Mordell's theorem

Continued fractions and RSA with small secret exponent

DES Cryptosystem

Hash Functions in Cryptography

On the size of Diophantine m-tuples

Diophantine m-tuples for linear polynomials

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

Polyalphabetic Ciphers

Primality Tests

A parametric family of quartic Thue equations

Discrete Logarithm Problem

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

Diffie-Hellman Key Distribution Protocol

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

Fibonacci Numbers and the Golden Section

An interesting property of a recurrence related to the Fibonacci sequence

Diophantine m-tuples and elliptic curves

Pierre de Fermat (1601.-1665.)

Diophantine equations for second order recursive sequences of polynomials

An absolute bound for the size of Diophantine m-tuples

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

Twoparametric family of quartic Thue equations

Fibonaccijevi brojevi

Integer points on a family of elliptic curves

A parametric family of elliptic curves

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

A note on Diophantine quintuples

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

A proof of the Hoggatt-Bergum conjecture

An extension of an old problem of Diophantus and Euler

A generalization of a theorem of Baker and Davenport

A problem of Diophantus and Pell numbers

A problem of Diophantus and Dickson's conjecture

Diophantine quadruples and quintuples modulo 4

Some estimates of the number of Diophantine quadruples

Complete solution of a family of simultaneous Pellian equations

On the exceptional set in the problem of Diophantus and Davenport

On Diophantine quintuples

The problem of Diophantus and Davenport

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

Complete solutions of certain families of simultaneous Pellian equations

The problem of Diophantus and Davenport for Gaussian integers

Generalized Fibonacci numbers and the problem of Diophantus

Some polynomial formulas for Diophantine quadruples

Matematička natjecanja učenika srednjih škola (izbor zadataka)

Diophantine quadruples for squares of Fibonacci and Lucas numbers

Generalization of a problem of Diophantus