Igor Shparlinski

Professor

  • 3842 Citations
  • 26 h-Index
1978 …2019
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Galois field Mathematics
Modulo Mathematics
Exponential Sums Mathematics
Integer Mathematics
Character Sums Mathematics
Elliptic Curves Mathematics
Polynomial Mathematics
Multiplicative Mathematics

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Projects 2008 2017

New Applications of Additive Combinatorics in Number Theory and Graph Theory

Mans, B., Shparlinski, I., MQRES, M. & PhD Contribution (ARC), P. C. (.

1/01/1431/12/17

Project: Research

graph theory

Cryptographic hash functions of number theoretic origins

Shparlinski, I. & Bisson, G.

1/07/1230/06/14

Project: Research

Lattices as a Constructive and Destructive Cryptographic Tool

Doche, C., Shparlinski, I., Steinfeld, R., Stehle, D., MQRES, M., PhD Contribution (ARC), P. C. (. & Newton, J.

31/07/1131/12/14

Project: Research

money

Research Outputs 1978 2019

On functional graphs of quadratic polynomials

Mans, B., Sha, M., Shparlinski, I. E. & Sutantyo, D., 3 Jul 2019, In : Experimental Mathematics. 28, 3, p. 292-300 9 p.

Research output: Contribution to journalArticleResearchpeer-review

Quadratic Polynomial
Graph in graph theory
Cycle
Random Mapping
Number of Components

Arithmetic properties of integers in chains and reflections of g-ary expansions

Gómez-Pérez, D. & Shparlinski, I. E., 2018, In : Experimental Mathematics. 27, 2, p. 184-192 9 p.

Research output: Contribution to journalArticleResearchpeer-review

Digit
Integer
Counting Function
Mirror

Effective results on linear dependence for elliptic curves

Sha, M. & Shparlinski, I. E., 2018, In : Pacific Journal of Mathematics. 295, 1, p. 123-144 22 p.

Research output: Contribution to journalArticleResearchpeer-review

Linear dependence
Rational Points
Elliptic Curves
Canonical Height
Modulo

On abelian multiplicatively dependent points on a curve in a torus

Ostafe, A., Sha, M., Shparlinski, I. E. & Zannier, U., 1 Jun 2018, In : Quarterly Journal of Mathematics. 69, 2, p. 391-401 11 p.

Research output: Contribution to journalArticleResearchpeer-review

Number field
Finite Set
Torus
Curve
Cyclotomic

On multiplicatively dependent vectors of algebraic numbers

Pappalardi, F., Sha, M., Shparlinski, I. E. & Stewart, C. L., Sep 2018, In : Transactions of the American Mathematical Society. 370, 9, p. 6221-6244 24 p.

Research output: Contribution to journalArticleResearchpeer-review

Algebraic number
Asymptotic Formula
Number field
Dependent