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

Extensions of a Diophantine triple by adjoining smaller elements II

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

Diophantine m-tuples and Elliptic Curves

On power values of pyramidal numbers, II,

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

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

On elliptic curves induced by rational Diophantine quadruples

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

Extensions of a Diophantine triple by adjoining smaller elements

Absolute root separation

Diophantine triples with largest two elements in common

Diophantine m-tuples in finite fields and modular forms

Lie Groups, Number Theory, and Vertex Algebras

Number Theory

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

Construction of high rank elliptic curves

D(n)-quintuples with square elements

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

Rational Diophantine sextuples containing two regular quadruples and one regular quintuple

High rank elliptic curves induced by rational Diophantine triples

Strong rational Diophantine D(q)-triples

Rank zero elliptic curves induced by rational Diophantine triples

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

D(n)-sets with square elements

Doubly regular Diophantine quadruples

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

On fundamental units of real quadratic fields of class number 1

Rational Diophantine sextuples with square denominators

On the largest element in D(n)-quadruples

Teorija brojeva

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

Elliptic curves induced by Diophantine triples

Products of factorials which are powers,

Strong Eulerian triples

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

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

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

Generating Elliptic Curves Using the Complex Multiplication Method

Applications of continued fractions in factorization and primality testing

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

Absolute real root separation

Root separation for reducible monic polynomials of odd degree

There are infinitely many rational Diophantine sextuples

More on Diophantine sextuples

Polynomial root separation

There are infinitely many rational Diophantine sextuples

Absolute real root separation

Cryptanalysis of RSA and Its Variants

Differential cryptanalysis

There are infinitely many rational Diophantine sextuples

Diophantine quadruples in finite fields and modular forms

Teorija brojeva i kriptografija

Transcendental numbers

Rational Diophantine sextuples

On rational Diophantine sextuples

Teorija brojeva i šifriranje

What is ... a Diophantine m-tuple?

Elliptic curves with torsion group Z/6Z

Finiteness results for F-Diophantine sets

Stream Cipher RC4

Quadratic Residues and Square Roots in Public Key Cryptography

High-rank elliptic curves induced by Diophantine triples

Number theory and cryptography

NTRU Cryptosystem

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};;

Block Cipher Modes of Operation

Transposition Ciphers ADFGX and ADFGVX

II. Razred za matematičke, fizičke i kemijske znanosti

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

High rank elliptic curves with prescribed torsion group over quadratic fields

Elliptic curves coming from Heron tringles

Diophantine Problems With Sums of Divisors

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

Root separation for integer polynomials

Root separation for integer polynomials

Root separation for integer polynomials

Mordell-Weil groups of elliptic curves induced by Diophantine triples

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

Some Diophantine properties of the sequence of S-units

Root separation for reducible integer polynomials

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

Diophantine m-tuples with elements in arithmetic progressions

Products of three factorials

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

Ranks of elliptic curves with prescribed torsion over number fields

Indefinite binary quadratic forms

Applications of Elliptic Curves in Cryptography

Stream ciphers

Diffie-Hellman Problem and Discrete Logarithm Problem

Geometric approach to continued fractions

Elliptic curves and triangles with three rational medians

Sumsets being squares

Arithmetic progressions and Pellian equations

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

LLL Algorithm and Some Applications to Cryptography

On a variation of a congruence of Subbarao

Internet Security

Polynomial root separation and applications

On a problem of Diophantus for rationals

On the rank of elliptic curves coming from rational Diophantine triples

On a conjecture regarding balancing with powers of Fibonacci numbers

On Hall's conjecture

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

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

Some Diophantine Problems over the Imaginary Quadratic Fields

On power values of pyramidal numbers

Root separation for reducible monic quartics

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

Finite field and polynomial congruences

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

On Hall's conjecture

Ranks of families of elliptic curves and applications to Diophantine problems

Continued fraction convergents and Newton's approximants for quadratic irrationalities

Elliptic curves of large rank over quadratic fields

Root separation for irreducible integer polynomials

Some Diophantine triples and quadruples for quadratic polynomials

Root separation for reducible monic quartics

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

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

Solving a family of quartic Thue inequalities using continued fractions

Smart Card Security in Banking

Diophantine m-tuples

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

High rank elliptic curves induced by Diophantine triples and congruent numbers

Elliptic curves

Polynomial Variants of a Problem of Diophantus

Sieve Methods

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

Diophantine quadruples in Z[√ -2]

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

Technologies for E-Commerce

Fermat Numbers

Digital Cash and Digital Checks

A search for high rank congruent number elliptic curves

Perfect Numbers

Micropayments

Rational Diophantine sextuples with mixed signs

Distribution of Prime Numbers

A variant of Wiener's attack on RSA

Security of Micropayment Systems

Smart Cards

Generating Random Numbers

Strong Diophantine triples

Elliptic equations

Periodski verižni razlomci

Heights in Diophantine Geometry and Consequences of the abc-conjecture

Strong Diophantine triples

Applications of Continued Fractions in Diophantine Approximations and Cryptanalysis

Security of Bank Systems

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

Solving Congruences

Public Key Infrastructure

Strong Diophantine triples

On arithmetic progressions on Pellian equations

Kriptografija u školi

On the number of Diophantine m-tuples

Convex Sets

Cryptosystems with Public Key

Factorization and ideals

Cryptography in School

Public Key Cryptography

RSA Cryptosystem

Mestreova polinomijalna metoda za konstrukciju eliptičkih krivulja velikog ranga

A problem of Diophantus, Fermat and Euler and its generalizations

A variant of Wiener's attack on RSA

Conjectures and results on the size and number of Diophantine tuples

On Worley's theorem in Diophantine approximations

Pell Equation and Pythagorean Triples

Polygraphic Substitution Ciphers

A polynomial variant of a problem of Diophantus for pure powers

Digital Signature Authentication

Primitive Roots and Quadratic Residues

Complex continued fractions

Distribution of Quadratic Residues

Euclidean Algorithm

On differences of two squares in some quadratic fields

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

Representation of Primes by Quadratic Forms

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

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

Construction of high rank elliptic curves and related Diophantine problems

Security of Electronic Commerce

Mordell-Weil groups of elliptic curves induced by Diophantine triples

Diophantine m-tuples and generalizations

Decomposition of a recursive family of polynomials

Principles of Design of Modern Block Cryptosystems

On a problem of Diophantus with polynomials

Cryptography

ENIGMA

Modern Block Ciphers

Algorithms for Large-Integer Multiplications

Indecomposability of polynomials and related Diophantine equations

Error-correcting Codes and McEliece Cryptosystem

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

High rank elliptic curves with prescribed torsion group

Transposition Ciphers

On the D(-1)-quadruple conjecture

PGP - Pretty Good Privacy

Algebraic Numbers

Markov Chain

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

Elliptic Curves and Elliptic Functions

Metode računanja ranga eliptičkih krivulja nad Q(T)

Diofantske jednadžbe nad funkcijskim poljima

Digital Watermarking

Steganography: Hiding Information in Images

On the indecomposabilty of polynomials

Internet Security and SSL Protocol

Arithmetic Functions

Digital Signature and Digital Money

Steganography

Roth's Theorem

Diophantine quadruples in quadratic fields

Topological Convex Structures

Diophantine m-tuples for primes

Discrete logarithm problem for elliptic curves

Asymptotic estimates for the number of Diophantine m-tuples

Square roots with many good approximants

Diophantine m-tuples and connections with eliptic curves

Diophantine m-tuples

Fibonacci numbers and sets with the property D(4)

Complete solution of a problem of Diophantus and Euler

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

A family of quartic Thue inequalities

Primjena LLL-algoritma u rješavanju diofantskih jednadžbi

History of Cryptography

Vigenereova šifra

Complete solution of the polynomial version of a problem of Diophantus

Mordell-Weil theorem

Shannon's Theory

Newton's approximants and continued fractions

RC6 Cryptosystem

On a problem of Diophantus and Euler

There are only finitely many Diophantine quintuples

Matematičke osnove kriptografije javnog ključa

Continued fractions and RSA with small secret exponent

Monoalphabetic Substitution Ciphers

Zero-knowledge Proofs

Primality Testing

Modular functions and complex multiplication of elliptic curves

Knapsack Problem and Applications in Cryptography

Congruences of Integers and Polynomials

Mordell's theorem

Kneser's Theorem

DES Cryptosystem

Continued fractions and RSA with small secret exponent

Statistical Properties of Arithmetic Functions

Construction of elliptic curves over Q with large rank

A polynomial variant of a problem of Diophantus and Euler

On a problem of Diophantus for higher powers

Mersenne Numbers and Perfect Numbers

Continued Fractions and Their Applications

On Diophantine quintuple conjecture

Congruent numbers and elliptic curves

Fermat's Little Theorem and Its Consequences

Fibonacci Numbers and the Golden Section

On the size of Diophantine m-tuples

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

A parametric family of quartic Thue equations

Diffie-Hellman Key Distribution Protocol

Discrete Logarithm Problem

Primality Tests

Polyalphabetic Ciphers

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

Diophantine m-tuples for linear polynomials

An interesting property of a recurrence related to the Fibonacci sequence

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

An absolute bound for the size of Diophantine m-tuples

Pierre de Fermat (1601.-1665.)

Twoparametric family of quartic Thue equations

Diophantine equations for second order recursive sequences of polynomials

Diophantine m-tuples and elliptic curves

A note on Diophantine quintuples

Fibonaccijevi brojevi

Integer points on a family of elliptic curves

Irregular Diophantine m-tuples and elliptic curves of high rank

A parametric family of elliptic curves

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

A proof of the Hoggatt-Bergum conjecture

An extension of an old problem of Diophantus and Euler

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

Complete solution of a family of simultaneous Pellian equations

Diophantine quadruples and quintuples modulo 4

A problem of Diophantus and Dickson's conjecture

Some estimates of the number of Diophantine quadruples

A generalization of a theorem of Baker and Davenport

A problem of Diophantus and Pell numbers

On the exceptional set in 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

The problem of Diophantus and Davenport

On Diophantine quintuples

Matematička natjecanja učenika srednjih škola (izbor zadataka)

Some polynomial formulas for Diophantine quadruples

Generalized Fibonacci numbers and the problem of Diophantus

Diophantine quadruples for squares of Fibonacci and Lucas numbers

Generalization of a problem of Diophantus