Igor Shparlinski

Professor

UNSW

Australia

Research Interests

Explore related searches

Professors in Australia

Contact this professor

ORCID

Google Scholar

About

Igor Shparlinski is a Professor at UNSW in Australia. His primary research areas include number theory, additive combinatorics, and the study of character sums. He has contributed to various fields through his recent publications, which explore topics such as modular roots, congruences, and quantum ergodicity. His work emphasizes the connections between theoretical mathematics and practical applications.

Igor Shparlinski

Research Interests

Explore related searches

Contact this professor

About

Articles (20)

Mean value theorems for short rational exponential sums

BINARY AND TERNARY CONGRUENCES INVOLVING INTERVALS AND SETS MODULO A PRIME

ENERGY BOUNDS FOR MODULAR ROOTS AND THEIR APPLICATIONS

Triple sums of Kloosterman sums and the discrepancy of modular inverses

On Artin's conjecture on average and short character sums

On Quantum Ergodicity for Higher Dimensional Cat Maps

On nonzero coefficients of binary cyclotomic polynomials

Multiplicative dependence in linear recurrence sequences

Estimates for trilinear and quadrilinear character sums

Uniform bounds for the density in Artin's conjecture on primitive roots

On the number of Diophantine m-tuples in finite fields

Chowla and Sarnak conjectures for Kloosterman sums

Fixed points of the subset sum pseudorandom number generators

ON QUADRATIC FIELDS GENERATED BY POLYNOMIALS

Smooth numbers with few nonzero binary digits

Metric theory of Weyl sums

On the Glasner property for matrices with polynomial entries

Corrections to “Value sets of sparse polynomials”

Energy bounds, bilinear forms and their applications in function fields

Large Weyl sums and Hausdorff dimension

Collaborators (2)

Ilya Shkredov

Jose Voloch

How do I reach out?

Meet Kite AI