Diophantine m-tuples and Elliptic Curves

Extensions of a Diophantine triple by adjoining smaller elements II

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

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

On power values of pyramidal numbers, II,

Stjepan Bohniček (December 15, 1872 - March 14, 1956)

Absolute root separation

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

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

Rational Diophantine sextuples containing two regular quadruples and one regular quintuple

Diophantine triples with largest two elements in common

Lie Groups, Number Theory, and Vertex Algebras

Construction of high rank elliptic curves

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

D(n)-quintuples with square elements

Diophantine m-tuples in finite fields and modular forms

Number Theory

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

Rank zero elliptic curves induced by rational Diophantine triples

High rank elliptic curves induced by rational Diophantine triples

Strong rational Diophantine D(q)-triples

D(n)-sets with square elements

Doubly regular Diophantine quadruples

On fundamental units of real quadratic fields of class number 1

Elliptic curves induced by Diophantine triples

Number Theory

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

Rational Diophantine sextuples with square denominators

On the largest element in D(n)-quadruples

Products of factorials which are powers,

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

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

Strong Eulerian triples

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

Primjena verižnih razlomaka u faktorizaciji i testiranju prostosti

Generiranje eliptičkih krivulja metodom kompleksnog množenja

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

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

There are infinitely many rational Diophantine sextuples

There are infinitely many rational Diophantine sextuples

Absolute real root separation

Absolute real root separation

Root separation for reducible monic polynomials of odd degree

Polynomial root separation

More on Diophantine sextuples

Kriptoanaliza RSA kriptosustava i njegovih inačica

Rational Diophantine sextuples

On rational Diophantine sextuples

Finiteness results for F-Diophantine sets

Elliptic curves with torsion group Z/6Z

What is ... a Diophantine m-tuple?

Protočna šifra RC4

Transcendentni brojevi

Kvadratni ostaci i kvadratni korijeni u kriptografiji javnog ključa

Diferencijalna kriptoanaliza

There are infinitely many rational Diophantine sextuples

Number theory and cryptography

Number theory and cryptography

Diophantine quadruples in finite fields and modular forms

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

The 2nd Department of Mathematical, Physical and Chemical Sciences

Transpozicijske šifre ADFGX i ADFGVX

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

High-rank elliptic curves induced by Diophantine triples

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

NTRU kriptosustav

Načini djelovanja blokovnih šifri

Number theory and cryptography

Root separation for reducible integer polynomials

Diofantski problemi sa sumama djelitelja

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

Mordell-Weil groups of elliptic curves induced by Diophantine triples

Root separation for integer polynomials

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

Mordell-Weilove grupe i izogenije familija eliptičkih krivulja

Ranks of elliptic curves with prescribed torsion over number fields

Elliptic curves coming from Heron tringles

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

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

Products of three factorials

Root separation for integer polynomials

Diophantine m-tuples with elements in arithmetic progressions

High rank elliptic curves with prescribed torsion group over quadratic fields

Root separation for integer polynomials

Some Diophantine properties of the sequence of S-units

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

Primjena eliptičkih krivulja u kriptografiji

Indefinite binary quadratic forms

Elliptic curves and triangles with three rational medians

Sumsets being squares

Arithmetic progressions and Pellian equations

Geometrijski pristup verižnim razlomcima

Diffie-Hellmanov problem i problem diskretnog logaritma

Protočne šifre

Neki diofantski problemi nad imaginarnim kvadratnim poljima

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

Konačna polja i polinomijalne kongruencije

On a variation of a congruence of Subbarao

Polynomial root separation and applications

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

On Hall's conjecture

On the rank of elliptic curves coming from rational Diophantine triples

On a conjecture regarding balancing with powers of Fibonacci numbers

On a problem of Diophantus for rationals

On power values of pyramidal numbers

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

LLL algoritam i neke primjene u kriptografiji

Root separation for reducible monic quartics

Sigurnost na Internetu

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

Rangovi familija eliptičkih krivulja i primjene na diofantske probleme

Solving a family of quartic Thue inequalities using continued fractions

Konvergente verižnih razlomaka i Newtonovi aproksimanti za kvadratne iracionalnosti

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

Root separation for reducible monic quartics

Some Diophantine triples and quadruples for quadratic polynomials

Root separation for irreducible integer polynomials

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

Eliptičke krivulje velikog ranga nad kvadratnim poljima

On Hall's conjecture

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

Kriptografija u Drugom svjetskom ratu

High rank elliptic curves induced by Diophantine triples and congruent numbers

Elliptic curves

Kompaktna reprezentacija cijelih kvadratnih brojeva i cjelobrojne točke na eliptičkim krivuljama

Diophantine m-tuples

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

Sigurnost pametnih kartica u bankarstvu

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

Metode sita

Kvadratna polja i kvadratne forme

Polinomne varijantne Diofantova problema

Diophantine quadruples in Z[√ -2]

Eliptičke krivulje nad konačnim poljima

Sigurnost sustava za mikroplaćanje

Distribution of Prime Numbers

Generiranje slučajnih brojeva

Rational Diophantine sextuples with mixed signs

Digitalni novac i digitalni čekovi

Mikroplaćanja

A variant of Wiener's attack on RSA

Savršeni brojevi

Strong Diophantine triples

Tehnologije za elektronsku trgovinu

Elliptic equations

Visine u diofantskoj geometriji i posljedice abc-slutnje

Fermatovi brojevi

Pametne kartice

Periodic Continued Fractions

A search for high rank congruent number elliptic curves

Strong Diophantine triples

Mestre's Polynomial Method for Construction of High-rank Elliptic Curves

Autentifikacija digitalnim potpisom

Poligrafske supstitucijske šifre

Pellova jednadžba i Pitagorine trojke

A variant of Wiener's attack on RSA

Conjectures and results on the size and number of Diophantine tuples

On arithmetic progressions on Pellian equations

Cryptography in school

On Worley's theorem in Diophantine approximations

RSA kriptosustav

Kriptografija javnog ključa

Kriptografija u školi

Faktorizacija i ideali

Kriptosustavi s javnim ključem

Konveksni skupovi

Infrastruktura javnih ključeva

Rješavanje kongruencija

Primjena verižnih razlomaka u diofantskim aproksimacijama i kriptoanalizi

On the number of Diophantine m-tuples

Sigurnost bankarskih sustava

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

A problem of Diophantus, Fermat and Euler and its generalizations

Strong Diophantine triples

A polynomial variant of a problem of Diophantus for pure powers

Kompleksni verižni razlomci

ENIGMA

On differences of two squares in some quadratic fields

Distribucija kvadratnih ostataka

Construction of high rank elliptic curves and related Diophantine problems

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

On a problem of Diophantus with polynomials

Kriptografija

Sigurnost elektroničkog poslovanja

Načela oblikovanja modernih blokovnih kriptosustava

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

Diophantine m-tuples and generalizations

Euklidov algoritam

Decomposition of a recursive family of polynomials

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

Mordell-Weil groups of elliptic curves induced by Diophantine triples

Primitivni korijeni i kvadratni ostaci

Prikaz prostih brojeva pomoću kvadratnih formi

Transpozicijske šifre

Methods for computing the rank of elliptic curves over Q(T)

Sustavi pellovskih jednadžbi i problem proširenja nekih Diofantovih trojki

Indecomposability of polynomials and related Diophantine equations

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

Moderne blokovne šifre

PGP - Pretty Good Privacy

Eliptičke krivulje i eliptičke funkcije

Algebarski brojevi

Markovljev lanac

Kodovi za ispravljanje grešaka i McElieceov kriptosustav

Diophantine Equations over Function Fields

Digitalni vodeni žigovi

Steganografija: skrivanje podataka u sliku

High rank elliptic curves with prescribed torsion group

On the D(-1)-quadruple conjecture

Algoritmi za množenje velikih brojeva

Aritmetičke funkcije

Digitalni potpis i digitalni novac

Steganografija

Rothov teorem

Diofantove četvorke u kvadratnim poljima

On the indecomposabilty of polynomials

Topološko-konveksne strukture

Square roots with many good approximants

Diophantine m-tuples for primes

Sigurnost interneta i SSL protokol

Fibonacci numbers and sets with the property D(4)

Diophantine m-tuples and connections with eliptic curves

Asymptotic estimates for the number of Diophantine m-tuples

Complete solution of a problem of Diophantus and Euler

Problem diskretnog logaritma za eliptičke krivulje

Diophantine m-tuples

Mordell-Weilov teorem

Application of LLL-algorithm in solving Diophantine equations

Kriptosustav RC6

Newton's approximants and continued fractions

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

Povijest kriptografije

Vigenere Cipher

There are only finitely many Diophantine quintuples

Continued fractions and RSA with small secret exponent

On a problem of Diophantus and Euler

Complete solution of the polynomial version of a problem of Diophantus

A family of quartic Thue inequalities

Mathematical Basis of Public-Key Cryptography

Shannonova teorija

Monoalfabetske supstitucijske šifre

Verižni razlomci i primjene

Mersenneovi i savršeni brojevi

Statistička svojstva aritmetičkih funkcija

Kneserov teorem

Construction of elliptic curves over Q with large rank

Kriptosustav DES

Problem ruksaka i primjene u kriptografiji

On Diophantine quintuple conjecture

Mordellov teorem

On a problem of Diophantus for higher powers

A polynomial variant of a problem of Diophantus and Euler

Ispitivanje prostosti

Mali Fermatov teorem i njegove posljedice

Kongruentni brojevi i eliptičke krivulje

Continued fractions and RSA with small secret exponent

Kongruencije brojeva i polinoma

Modularne funkcije i kompleksno množenje eliptičkih krivulja

Dokazi nultog znanja

Polialfabetske šifre

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

Diophantine m-tuples for linear polynomials

Testovi prostosti

Fibonaccijevi brojevi i zlatni rez

On the size of Diophantine m-tuples

Problem diskretnog logaritma

Hash funkcije u kriptografiji

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

Diffie-Hellmanov protokol za distribuciju ključeva

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

A parametric family of quartic Thue equations

An interesting property of a recurrence related to the Fibonacci sequence

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

Dvoparametarska familija Thueovih jednadžbi četvrtog stupnja

Diophantine equations for second order recursive sequences of polynomials

An absolute bound for the size of Diophantine m-tuples

Diophantine m-tuples and elliptic curves

Pierre de Fermat (1601.-1665.)

The Fibonacci numbers

Integer points on a family of elliptic curves

Irregular Diophantine m-tuples and elliptic curves of high rank

A note on Diophantine quintuples

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

A parametric family of elliptic curves

An extension of an old problem of Diophantus and Euler

A proof of the Hoggatt-Bergum conjecture

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

Diophantine quadruples and quintuples modulo 4

Complete solution of a family of simultaneous Pellian equations

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

Some estimates of the number of Diophantine quadruples

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 Diophantus and Davenport for Gaussian integers

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

Generalized Fibonacci numbers and the problem of Diophantus

Mathematical competitions of high-school students

Some polynomial formulas for Diophantine quadruples

Diophantine quadruples for squares of Fibonacci and Lucas numbers

Generalization of a problem of Diophantus