Igor E. Shparlinski

• Artículos de revistas (78)
• Colaboraciones en obras colectivas (1)
• Coordinación (1 publicación)

• Artículos de revistas

  • On digits of Mersenne numbers

    Bryce Kerr, László Mérai, Igor E. Shparlinski

    Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº 6, 2022, págs. 1901-1925

    • Resumen
    • Texto completo
    

  • Binomial exponential sums

    Igor E. Shparlinski, José Felipe Voloch

    Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 21, Nº Extra 2, 2020, págs. 931-941

    • Resumen
    • Texto completo
    

  • On finding solutions to exponential congruences

    Igor E. Shparlinski

    Bulletin of the Australian Mathematical Society, ISSN-e 0004-9727, Vol. 99, Nº. 3, 2019, págs. 388-391

    

  • Systems of congruences with products of variables from short intervals

    Igor E. Shparlinski

    Bulletin of the Australian Mathematical Society, ISSN-e 0004-9727, Vol. 93, Nº. 3, 2016, págs. 364-371

    • Texto completo
    

  • Functional graphs of polynomials over finite fields

    Sergei V. Konyagin, Florian Luca, Bernard Mans, Luke Mathieson, Min Sha, Igor E. Shparlinski

    Journal of combinatorial theory. Series B, ISSN 0095-8956, Nº. 116, 2016, págs. 87-122

    

  • Polynomial values in small subgroups of finite fields

    Igor E. Shparlinski

    Revista matemática iberoamericana, ISSN 0213-2230, Vol. 32, Nº 4, 2016, págs. 1127-1136

    • Resumen
    

  • Quadratic non-residues in short intervals

    Sergei V. Konyagin, Igor E. Shparlinski

    Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 143, Nº 10, 2015, págs. 4261-4269

    

  • On the product of small Elkies primes

    Igor E. Shparlinski

    Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 143, Nº 4, 2015, págs. 1441-1448

    

  • Squarefree parts of discriminants of trinomials

    Igor E. Shparlinski

    Archiv der Mathematik, ISSN 0003-889X, Vol. 102, Nº. 6, 2014, págs. 545-554

    

  • ON SOLUTIONS TO SOME POLYNOMIAL CONGRUENCES IN SMALL BOXES

    Igor E. Shparlinski

    Bulletin of the Australian Mathematical Society, ISSN-e 0004-9727, Vol. 89, Nº. 2, 2014, págs. 300-307

    

  • Double Character Sums over Subgroups and Intervals

    Mei-Chu Chang, Igor E. Shparlinski

    Bulletin of the Australian Mathematical Society, ISSN-e 0004-9727, Vol. 90, Nº. 3, 2014, págs. 376-390

    

  • On the Counting Function of Elliptic Carmichael Numbers

    Florian Luca, Igor E. Shparlinski

    Canadian mathematical bulletin, ISSN 0008-4395, Vol. 57, Nº 1, 2014, págs. 105-112

    

  • Enumeration of certain varieties over a finite field

    John B. Friedlander, Igor E. Shparlinski

    Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 142, Nº 8, 2014, págs. 2615-2623

    

  • On irreducible divisors of iterated polynomials

    Domingo Gómez Pérez, Alina Ostafe, Igor E. Shparlinski

    Revista matemática iberoamericana, ISSN 0213-2230, Vol. 30, Nº 4, 2014, págs. 1123-1134

    • Resumen
    

  • �SUM-PRODUCT ESTIMATES AND MULTIPLICATIVE ORDERS OF ${\gamma}$ AND ${\gamma} + {\gamma}^{-1}$ IN FINITE FIELDS�

    Igor E. Shparlinski

    Bulletin of the Australian Mathematical Society, ISSN-e 0004-9727, Vol. 87, Nº. 3, 2013, págs. 527-528

    

  • On the fractional parts of a elevado a n/n

    Javier Cilleruelo, Angel Kumchev, Florian Luca, Juanjo Rué Perna, Igor E. Shparlinski

    Bulletin of the London Mathematical Society, ISSN 0024-6093, Vol. 45, Nº 2, 2013, págs. 249-256

    

  • On the Average Number of Square-Free Values of Polynomials

    Igor E. Shparlinski

    Canadian mathematical bulletin, ISSN 0008-4395, Vol. 56, Nº 4, 2013, págs. 844-849

    

  • On gaps between quadratic non-residues in the Euclidean and Hamming metrics

    Rainer Dietmann, Christian Elsholtz, Igor E. Shparlinski

    Indagationes mathematicae, ISSN 0019-3577, Vol. 24, Nº 4, 2013 (Ejemplar dedicado a: In memory of N.G. (Dick) de Bruijn (1918�2012)), págs. 930-938

    

  • On the distribution of solutions to polynomial congruences

    Igor E. Shparlinski

    Archiv der Mathematik, ISSN 0003-889X, Vol. 99, Nº. 4, 2012, págs. 345-351

    

  • SUM�PRODUCT ESTIMATES AND MULTIPLICATIVE ORDERS OF y AND y+y^-1 IN FINITE FIELDS

    Igor E. Shparlinski

    Bulletin of the Australian Mathematical Society, ISSN-e 0004-9727, Vol. 85, Nº. 3, 2012, págs. 505-508

    

  • Character Sums with Division Polynomials

    Igor E. Shparlinski, Katherine E. Stange

    Canadian mathematical bulletin, ISSN 0008-4395, Vol. 55, Nº 4, 2012, págs. 850-857

    

  • Pseudoprime Reductions of Elliptic Curves: Corrigendum

    Alina Carmen Cojocaru, Florian Luca, Igor E. Shparlinski

    Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 152, Nº 3, 2012, pág. 571

    

  • Isomorphism classes of elliptic curves over a finite field in some thin families

    Javier Cilleruelo, Igor E. Shparlinski, Ana Zumalacárregui

    Mathematical research letters, ISSN 1073-2780, Vol. 19, Nº 2, 2012, págs. 335-343

    

  • On the consecutive powers of a primitive root: gaps and exponential sums

    Sergei V. Konyagin, Igor E. Shparlinski

    Mathematika: A journal of pure and applied mathematics, ISSN 0025-5793, Nº 1, 2012, págs. 11-20

    

  • Exponential sums over points of elliptic curves with reciprocals of primes

    Alina Ostafe, Igor E. Shparlinski

    Mathematika: A journal of pure and applied mathematics, ISSN 0025-5793, Nº 1, 2012, págs. 21-33

    

  • Multiplicative character sums and products of sparse integers in residue classes

    Alina Ostafe, Igor E. Shparlinski

    Periodica mathematica hungarica, ISSN 0031-5303, Vol. 64, Nº. 2, 2012, págs. 247-255

    

  • On the value set of Fermat quotients

    Igor E. Shparlinski

    Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 140, Nº 4, 2012, págs. 1199-1206

    

  • On the restricted divisor function in arithmetic progressions.

    Igor E. Shparlinski

    Revista matemática iberoamericana, ISSN 0213-2230, Vol. 28, Nº 1, 2012, págs. 231-238

    

  • BOUNDS OF MULTIPLICATIVE CHARACTER SUMS WITH FERMAT QUOTIENTS OF PRIMES

    Igor E. Shparlinski

    Bulletin of the Australian Mathematical Society, ISSN-e 0004-9727, Vol. 83, Nº. 3, 2011, págs. 456-462

    

  • Fermat quotients: exponential sums, value set and primitive roots

    Igor E. Shparlinski

    Bulletin of the London Mathematical Society, ISSN 0024-6093, Vol. 43, Nº 6, 2011, págs. 1228-1238

    

  • On the Distribution of Irreducible Trinomials

    Igor E. Shparlinski

    Canadian mathematical bulletin, ISSN 0008-4395, Vol. 54, Nº 4, 2011, págs. 748-756

    

  • On the waring problem with Dickson polynomials in finite fields

    Alina Ostafe, Igor E. Shparlinski

    Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 139, Nº 11, 2011, págs. 3815-3820

    

  • Smooth shifted monomial products

    Etienne Fouvry, Igor E. Shparlinski

    Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 79, Fasc. 3-4, 2011, págs. 423-432

    

  • Character sums with fermat quotients

    Igor E. Shparlinski

    Quarterly journal of mathematics, ISSN 0033-5606, Vol. 62, Nº. 4, 2011, págs. 1031-1043

    

  • Exponential sums with consecutive modular roots of an integer

    Igor E. Shparlinski

    Quarterly journal of mathematics, ISSN 0033-5606, Vol. 62, Nº. 1, 2011, págs. 207-213

    

  • Counting dihedral and quaternionic extensions

    Etienne Fouvry, Florian Luca, Francesco Pappalardi, Igor E. Shparlinski

    Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 363, Nº 6, 2011, págs. 3233-3253

    

  • On pseudopoints of algebraic curves

    Reza R. Farashahi, Igor E. Shparlinski

    Archiv der Mathematik, ISSN 0003-889X, Vol. 95, Nº. 6, 2010, págs. 529-537

    

  • Approximate polynomial GCD: small degree and small height perturbations

    Joachim von zur Gathen, Maurice Mignotte, Igor E. Shparlinski

    Journal of symbolic computation, ISSN 0747-7171, Vol. 45, Nº 8, 2010, págs. 879-886

    • Resumen
    

  • Sums with convolutions of Dirichlet characters

    William D. Banks, Igor E. Shparlinski

    Manuscripta mathematica, ISSN 0025-2611, Vol. 133, Nº. 1-2, 2010, págs. 105-114

    

  • On the distribution of the number of points on algebraic curves in extensions of finite fields

    Omran Ahmadi, Igor E. Shparlinski

    Mathematical research letters, ISSN 1073-2780, Vol. 17, Nº 4, 2010, págs. 689-699

    • Resumen
    • Texto completo
    

  • On the divisibility of Fermat Quotients

    Jean Bourgain, Kevin Ford, Sergei V. Konyagin, Igor E. Shparlinski

    Michigan mathematical journal, ISSN 0026-2285, Vol. 59, Nº 2, 2010, págs. 313-328

    

  • On squares in polynomial products

    Javier Cilleruelo, Florian Luca, Adolfo Quirós Gracián, Igor E. Shparlinski

    Monatshefte für mathematik, ISSN 0026-9255, Vol. 159, Nº 3, 2010, págs. 215-223

    

  • Partitions into two Lehmer numbers

    Igor E. Shparlinski, Arne Winterhof

    Monatshefte für mathematik, ISSN 0026-9255, Vol. 160, Nº 4, 2010, págs. 429-441

    

  • Geometric properties of points on modular hyperbolas

    Kevin Ford, Mizan R. Khan, Igor E. Shparlinski

    Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 12, 2010, págs. 4177-4185

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  • On the length of critical orbits of stable quadratic polynomials

    Alina Ostafe, Igor E. Shparlinski

    Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 8, 2010, págs. 2653-2656

    

  • On quadratic fields generated by discriminants of irreducible trinomials

    Igor E. Shparlinski

    Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 138, Nº 1, 2010, págs. 125-132

    

  • Tate-shafarevich groups and frobenius fields of reductions of elliptic curves

    Igor E. Shparlinski

    Quarterly journal of mathematics, ISSN 0033-5606, Vol. 61, Nº. 2, 2010, págs. 255-263

    

  • Some additive combinatorics problems in matrix rings

    Ron Ferguson, Corneliu G. Hoffman, Florian Luca, Alina Ostafe, Igor E. Shparlinski

    Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 23, Nº 2, 2010, págs. 501-513

    

  • Sets with integral distances in finite fields

    Alex Iosevich, Igor E. Shparlinski, Maosheng Xiong

    Transactions of the American Mathematical Society, ISSN 0002-9947, Vol. 362, Nº 4, 2010, págs. 2189-2204

    

  • Some special character sums over elliptic curves

    Igor E. Shparlinski

    Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 15, Nº. 1, 2009, págs. 37-40

    

  • Bilinear sums with exponential functions

    Igor E. Shparlinski

    Proceedings of the American Mathematical Society, ISSN 0002-9939, Vol. 137, Nº 7, 2009, págs. 2217-2224

    

  • Multiplicative character sums with twice-differentiable functions

    William D. Banks, Igor E. Shparlinski

    Quarterly journal of mathematics, ISSN 0033-5606, Vol. 60, Nº. 4, 2009, págs. 401-411

    

  • Exponents of modular reductions of families of elliptic curves.

    Igor E. Shparlinski

    Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 50, Nº. 1, 2009, págs. 69-74

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  • On quadratic fields generated by polynomials

    Florian Luca, Igor E. Shparlinski

    Archiv der Mathematik, ISSN 0003-889X, Vol. 91, Nº. 5, 2008, págs. 399-408

    

  • Density of non-residues in Burgess-type intervals and applications

    William D. Banks, Moubariz Z. Garaev, D. R. Heath-Brown, Igor E. Shparlinski

    Bulletin of the London Mathematical Society, ISSN 0024-6093, Vol. 40, Nº 1, 2008, págs. 88-96

    

  • On the exponential sum�product problem

    Igor E. Shparlinski

    Indagationes mathematicae, ISSN 0019-3577, Vol. 19, Nº 2, 2008, págs. 325-331

    

  • On the number of sing changes of Hecke eigenvalues of newforms

    Winfried Kohnen, Yuk-Kam Lau, Igor E. Shparlinski

    Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 85, Nº 1, 2008, págs. 87-94

    

  • Arithmetic properties of Apéry numbers

    Florian Luca, Igor E. Shparlinski

    Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 78, Nº 3, 2008, págs. 545-562

    • Resumen
    

  • Products in Residue Classes

    John B. Friedlander, Pär Kurlberg, Igor E. Shparlinski

    Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 5-6, 2008, págs. 1133-1147

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  • Distribution of modular inverses and multiples of small integers and the Sato-Tate conjecture on average

    Igor E. Shparlinski

    Michigan mathematical journal, ISSN 0026-2285, Vol. 56, Nº 1, 2008, págs. 99-111

    

  • Discriminants of Complex Multiplication Fields of Elliptic Curves over Finite Fields

    Florian Luca, Igor E. Shparlinski

    Canadian mathematical bulletin, ISSN 0008-4395, Vol. 50, Nº 3, 2007, págs. 409-417

    • Resumen
    

  • Distribution of matrices with restricted entries over finite fields

    Omran Ahmadi, Igor E. Shparlinski

    Indagationes mathematicae, ISSN 0019-3577, Vol. 18, Nº 3, 2007, págs. 327-337

    • Resumen
    

  • Exponential sums with Catalan numbers and middle binomial coefficients

    Moubariz Z. Garaev, Florian Luca, Igor E. Shparlinski

    Indagationes mathematicae, ISSN 0019-3577, Vol. 18, Nº 1, 2007, págs. 23-38

    

  • On values taken by the largest prime factor of shifted primes

    William D. Banks, Igor E. Shparlinski

    Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 82, Nº 1, 2007, págs. 133-145

    

  • On rough and smooth neighbors

    William D. Banks, Florian Luca, Igor E. Shparlinski

    Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 20, Nº 1, 2007, págs. 109-118

    • Texto completo
    

  • Uniformity of distribution modulo 1 of the geometric mean prime divisor

    Florian Luca, Igor E. Shparlinski

    Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 12, Nº. 2, 2006, págs. 155-163

    

  • Arithmetic properties of $\varphi(n)/\lambda(n)$ and the structure of the multiplicative group modulo $n$

    William D. Banks, Florian Luca, Igor E. Shparlinski

    Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 81, Nº 1, 2006, págs. 1-22

    • Resumen
    

  • Short character sums with Beatty sequences

    Igor E. Shparlinski, W. D. Banks

    Mathematical research letters, ISSN 1073-2780, Vol. 13, Nº 4, 2006, págs. 539-548

    

  • Distribution of Nonlinear Congruential Pseudorandom Numbers Modulo Almost Squarefree Integers

    Edwin D. El-Mahassni, Igor E. Shparlinski, Arne Winterhof

    Monatshefte für mathematik, ISSN 0026-9255, Vol. 148, Nº 4, 2006, págs. 297-307

    • Resumen
    

  • Bounding the number of solutions of some congruences

    Eric Levieil, Florian Luca, Igor E. Shparlinski

    Boletín de la Sociedad Matemática Mexicana: Tercera Serie, ISSN 1405-213X, ISSN-e 2296-4495, Vol. 11, Nº. 2, 2005, págs. 175-180

    

  • Certain Exponential Sums and Random Walks on Elliptic Curves

    T. Lange, Igor E. Shparlinski

    Canadian journal of mathematics = Journal canadien de mathématiques, ISSN 0008-414X, Nº. 2, 2005, págs. 338-350

    

  • Values of the Euler Function in Various Sequences

    William D. Banks, Kevin Ford, Florian Luca, Francesco Pappalardi, Igor E. Shparlinski

    Monatshefte für mathematik, ISSN 0026-9255, Vol. 146, Nº 1, 2005, págs. 1-19

    • Resumen
    

  • On the number of zero trace elements in polynomial bases for F

    Igor E. Shparlinski

    Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 18, Nº 1, 2005, págs. 177-180

    • Resumen
    

  • Distribution of exponential functions with k-full exponent modulo a prime

    Michael Dewar, Daniel Panario, Igor E. Shparlinski

    Indagationes mathematicae, ISSN 0019-3577, Vol. 15, Nº 4, 2004, págs. 497-504

    

  • Distribution of exponential functions with squarelfull exponent in residue rings

    Igor E. Shparlinski

    Indagationes mathematicae, ISSN 0019-3577, Vol. 15, Nº 2, 2004, págs. 283-290

    

  • Smooth values of shifted primes in arithmetic progressions

    William D. Banks, Asma Harcharras, Igor E. Shparlinski

    Michigan mathematical journal, ISSN 0026-2285, Vol. 52, Nº 3, 2004, págs. 603-618

    

  • Exponential Function Analogue of Kloosterman Sums

    Igor E. Shparlinski

    Rocky mountain journal of mathematics, ISSN 0035-7596, Vol. 34, Nº 4, 2004, págs. 1497-1502

    

  • ON THE DISTRIBUTION OF POWER RESIDUES AND PRIMITIVE ELEMENTS IN SOME NONLINEAR RECURRING SEQUENCES

    Igor E. Shparlinski, HARALD NIEDERREITER

    Bulletin of the London Mathematical Society, ISSN 0024-6093, Vol. 35, Nº 4, 2003, págs. 522-528

    

• Colaboraciones en obras colectivas

  • Hilbert's Nullstellensatz and polynomial dynamical systems

    Carlos D'Andrea, Alina Ostafe, Igor E. Shparlinski, Martín Sombra

    Encuentros de Algebra Computacional y aplicaciones: Barcelona 2014 / coord. por Joan Elías García, Jesús Fernández Sánchez, Martín Sombra, 2014, ISBN 978-84-697-0651-0, págs. 45-48

    

• Coordinación

  • Obras Colectivas

    • Number theory and related fields in memory of Alf van der Poorten

      coord. por Jonathan M. Borwein, Igor E. Shparlinski, Wadim Zudilin

      Springer Alemania, 2013. ISBN 978-1-4614-6641-3

      

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