By Professor Igor Shparlinski

Journal articles

Von Zur Gathen J; Shparlinski IE, 2008, 'Approximate polynomial gcd: Small degree and small height perturbations', Lecture Notes in Computer Science Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics, 4957 LNCS, pp. 276 - 283, http://dx.doi.org/10.1007/978-3-540-78773-0_24

Shparlinski IE, 2008, 'Pseudorandom graphs from elliptic curves', Lecture Notes in Computer Science Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics, 4957 LNCS, pp. 284 - 292, http://dx.doi.org/10.1007/978-3-540-78773-0_25

Shparlinski IE; Winterhof A, 2008, 'On the number of distances between the coordinates of points on modular hyperbolas', Journal of Number Theory, 128, pp. 1224 - 1230, http://dx.doi.org/10.1016/j.jnt.2007.04.016

Luca F; Shparlinski IE, 2008, 'On the values of the divisor function', Monatshefte Fur Mathematik, 154, pp. 59 - 69, http://dx.doi.org/10.1007/s00605-007-0511-3

Blackburn SR; Shparlinski IE, 2008, 'On the average energy of circulant graphs', Linear Algebra and Its Applications, 428, pp. 1956 - 1963, http://dx.doi.org/10.1016/j.laa.2007.11.003

Shparlinski IE, 2008, 'Approximation by several rationals', Bulletin of the Australian Mathematical Society, 77, pp. 325 - 329, http://dx.doi.org/10.1017/S0004972708000373

Luca F; Shparlinski IE; Thangadurai R, 2008, 'Quadratic non-residues versus primitive roots modulo p', Journal of the Ramanujan Mathematical Society, 23, pp. 97 - 104

Shparlinski IE, 2008, 'On the distribution of kloosterman sums', Proceedings of the American Mathematical Society, 136, pp. 419 - 425, http://dx.doi.org/10.1090/S0002-9939-07-08943-5

Luca F; Shparlinski IE, 2008, 'Arithmetic properties of Apéry numbers', Journal of the London Mathematical Society, 78, pp. 545 - 562, http://dx.doi.org/10.1112/jlms/jdn031

Shparlinski I, 2008, 'Bilinear character sums over elliptic curves', Finite Fields and their Applications, 14, pp. 132 - 141, http://dx.doi.org/10.1016/j.ffa.2006.12.005

Van Dam W; Shparlinski IE, 2008, 'Classical and quantum algorithms for exponential congruences', Lecture Notes in Computer Science Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics, 5106 LNCS, pp. 1 - 10, http://dx.doi.org/10.1007/978-3-540-89304-2_1

Banks WD; Garaev MZ; Heath-Brown DR; Shparlinski IE, 2008, 'Density of non-residues in Burgess-type intervals and applications', Bulletin of the London Mathematical Society, 40, pp. 88 - 96, http://dx.doi.org/10.1112/blms/bdm111

Bourgain J; Shparlinski IE, 2008, 'Distribution of consecutive modular roots of an integer', Acta Arithmetica, 134, pp. 83 - 91, http://dx.doi.org/10.4064/aa134-1-6

Friedlander JB; Shparlinski IE, 2008, 'Erratum: Least totient in a residue class (Bulletin of the London Mathematical Society (2007) 39 (425-432))', Bulletin of the London Mathematical Society, 40, pp. 532, http://dx.doi.org/10.1112/blms/bdn037

Shparlinski IE, 2008, 'Infinite hilbert class field towers over cyclotomic fields', Glasgow Mathematical Journal, 50, pp. 27 - 32, http://dx.doi.org/10.1017/S0017089507003977

Khan MR; Shparlinski IE; Yankov CL, 2008, 'On the convex closure of the graph of modular inversions', Experimental Mathematics, 17, pp. 91 - 104, http://dx.doi.org/10.1080/10586458.2008.10129021

Shparlinski IE, 2008, 'On the distribution of Kloosterman sums', PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 136, pp. 419 - 425, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000251536800006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Friedlander JB; Kurlberg P; Shparlinski IE, 2008, 'Products in residue classes', Mathematical Research Letters, 15, pp. 1133 - 1147, http://dx.doi.org/10.4310/mrl.2008.v15.n6.a6

Shparlinski IE, 2008, 'On the Euler Function on Differences Between the Coordinates of Points on Modular Hyperbolas', Bulletin of the Polish Academy of Sciences Mathematics, 56, pp. 1 - 7, http://dx.doi.org/10.4064/ba56-1-1

Banks WD; Luca F; Shparlinski IE, 2007, 'Estimates for Wieferich numbers', Ramanujan Journal, 14, pp. 361 - 378, http://dx.doi.org/10.1007/s11139-007-9030-z

Becheanu M; Luca F; Shparlinski IE, 2007, 'On the sums of complementary divisors', INTERNATIONAL JOURNAL OF NUMBER THEORY, 3, pp. 635 - 648, http://dx.doi.org/10.1142/S1793042107001152

Blake IF; Shparlinski IE, 2007, 'Statistical distribution and collisions of VSH', JOURNAL OF MATHEMATICAL CRYPTOLOGY, 1, pp. 329 - 349, http://dx.doi.org/10.1515/JMC.2007.016

Balasuriya S; Shparlinski IE, 2007, 'Character sums with subsequence sums', Periodica Mathematica Hungarica, 55, pp. 215 - 221, http://dx.doi.org/10.1007/s10998-007-4215-4

Ahmadi O; Shparlinski IE, 2007, 'Geometric progressions in sumsets over finite fields', Monatshefte Fur Mathematik, 152, pp. 177 - 185, http://dx.doi.org/10.1007/s00605-007-0471-7

Ahmadi O; Shparlinski IE, 2007, 'Distribution of matrices with restricted entries over finite fields', Indagationes Mathematicae, 18, pp. 327 - 337, http://dx.doi.org/10.1016/S0019-3577(07)00013-4

Luca F; Shparlinski IE, 2007, 'PSEUDOPRIMES IN CERTAIN LINEAR RECURRENCES', Albanian Journal of Mathematics, 1, http://dx.doi.org/10.51286/albjm/1189355988

Shparlinski IE; Winterhof A, 2007, 'Quantum period reconstruction of approximate sequences', Information Processing Letters, 103, pp. 211 - 215, http://dx.doi.org/10.1016/j.ipl.2007.02.019

Shparlinski IE, 2007, 'Bounds of incomplete multiple Kloosterman sums', Journal of Number Theory, 126, pp. 68 - 73, http://dx.doi.org/10.1016/j.jnt.2006.12.003

Shparlinski IE, 2007, 'Bounds of incomplete multiple Kloosterman sums', JOURNAL OF NUMBER THEORY, 126, pp. 68 - 73, http://dx.doi.org/10.1016/j.jnt.2006.12.003

Shparlinski IE, 2007, 'Character sums over shifted smooth numbers', Proceedings of the American Mathematical Society, 135, pp. 2699 - 2705, http://dx.doi.org/10.1090/S0002-9939-07-08785-0

Shparlinski IE, 2007, 'Distribution of roots of polynomial congruences', International Journal of Mathematics and Mathematical Sciences, 2007, http://dx.doi.org/10.1155/2007/37853

Luca F; Shparlinski IE, 2007, 'Arithmetic functions with linear recurrence sequences', Journal of Number Theory, 125, pp. 459 - 472, http://dx.doi.org/10.1016/j.jnt.2006.12.006

Shparlinski IE, 2007, 'Communication complexity of some number theoretic functions', Applied Mathematics Letters, 20, pp. 872 - 875, http://dx.doi.org/10.1016/j.aml.2006.05.024

Luca F; Shparlinski IE, 2007, 'On finite fields for pairing based cryptography', ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 1, pp. 281 - 286, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000254707500001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Shparlinski IE, 2007, 'Bounds on the Fourier coefficients of the weighted sum function', Information Processing Letters, 103, pp. 83 - 87, http://dx.doi.org/10.1016/j.ipl.2007.02.011

Garaev MZ; Luca F; Shparlinski IE, 2007, 'Exponential sums with Catalan numbers and middle binomial coefficients', Indagationes Mathematicae, 18, pp. 23 - 37, http://dx.doi.org/10.1016/S0019-3577(07)80004-8

Blackburn SR; Shparlinski IE, 2007, 'Erratum to "Character sums and nonlinear recurrence sequences". [Discrete Math. 306 (2006) 1126-1131] (DOI:10.1016/j.disc.2006.02.012)', Discrete Mathematics, 307, pp. 1218 - 1219, http://dx.doi.org/10.1016/j.disc.2006.10.009

Luca F; Shparlinski IE, 2007, 'On the square-free parts of ⌊en!⌋', Glasgow Mathematical Journal, 49, pp. 391 - 403, http://dx.doi.org/10.1017/S0017089507003734

Banks WD; Shparlinski IE, 2007, 'Prime divisors in Beatty sequences', Journal of Number Theory, 123, pp. 413 - 425, http://dx.doi.org/10.1016/j.jnt.2006.07.011

Shparlinski IE, 2007, 'On the distribution of points on multidimensional modular hyperbolas', Proceedings of the Japan Academy Series A Mathematical Sciences, 83, pp. 5 - 9, http://dx.doi.org/10.3792/pjaa.83.5

Shparlinski IE; Steinfeld R, 2007, 'Chinese remaindering with multiplicative noise', Theory of Computing Systems, 40, pp. 33 - 41, http://dx.doi.org/10.1007/s00224-005-1272-9

Shparlinski I, 2007, 'A computational introduction to number theory and algebra', MATHEMATICS OF COMPUTATION, 76, pp. 1697 - 1698, http://dx.doi.org/10.1090/S0025-5718-07-01995-3

Luca F; Shparlinski IE, 2007, 'Discriminants of complex multiplication fields of elliptic curves over finite fields', Canadian Mathematical Bulletin, 50, pp. 409 - 417, http://dx.doi.org/10.4153/CMB-2007-039-2

Lange T; Shparlinski IE, 2007, 'Distribution of some sequences of points on elliptic curves', Journal of Mathematical Cryptology, 1, pp. 1 - 11, http://dx.doi.org/10.1515/JMC.2007.001

Friedlander JB; Shparlinski IE, 2007, 'Least totient in a residue class', Bulletin of the London Mathematical Society, 39, pp. 425 - 432, http://dx.doi.org/10.1112/blms/bdm027

Banks WD; Luca F; Shparlinski IE, 2007, 'On rough and smooth neighbors', REVISTA MATEMATICA COMPLUTENSE, 20, pp. 109 - 118, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000254910400002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Shparlinski IE, 2007, 'On some dynamical systems in finite fields and residue rings', Discrete and Continuous Dynamical Systems, 17, pp. 901 - 917, http://dx.doi.org/10.3934/dcds.2007.17.901

Shparlinski IE, 2007, 'On the distribution of angles of the salié sums', Bulletin of the Australian Mathematical Society, 75, pp. 221 - 227, http://dx.doi.org/10.1017/s0004972700039150

Shparlinski IE; Sutantyo D, 2007, 'On the set of the largest prime divisors', Publicationes Mathematicae Debrecen, 71, pp. 95 - 100, http://dx.doi.org/10.5486/pmd.2007.3617

Banks WD; Shparlinski IE, 2007, 'On values taken by the largest prime factor of shifted primes', Journal of the Australian Mathematical Society, 82, pp. 133 - 147, http://dx.doi.org/10.1017/s1446788700017511

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