Researcher Portfolio
Šparlinskij, Igor E.
Max Planck Institute for Mathematics, Max Planck Society
Researcher Profile
Position: Max Planck Institute for Mathematics, Max Planck Society
Researcher ID: https://pure.mpg.de/cone/persons/resource/persons236203
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Publications
(1 - 25 of 26)
: Perucca, A., & Shparlinski, I. E. (submitted). Uniform bounds for the density in Artin's conjecture on primitive roots. [PubMan] : Hauck, M., & Shparlinski, I. E. (2024). Smooth numbers with few nonzero binary digits. Canadian Mathematical Bulletin, 67(1), 74-89. doi:10.4153/S0008439523000504. [PubMan] : Shparlinski, I. E. (2019). On short products of primes in arithmetic progressions. Proceedings of the American Mathematical Society, 147(3), 977-986. doi:10.1090/proc/14289. [PubMan] : Sha, M., & Shparlinski, I. E. (2018). Effective results on linear dependence for elliptic curves. Pacific Journal of Mathematics, 295(1), 123-144. doi:10.2140/pjm.2018.295.123. [PubMan] : Shparlinski, I. E. (2018). Character sums with smooth numbers. Archiv der Mathematik, 110(5), 467-476. doi:10.1007/s00013-018-1168-y. [PubMan] : Bordellès, O., Luca, F., & Shparlinski, I. E. (2018). On the error term of a lattice counting problem. Journal of Number Theory, 182, 19-36. doi:10.1016/j.jnt.2017.07.019. [PubMan] : Bordellès, O., Luca, F., Moree, P., & Shparlinski, I. E. (2018). Denominators of Bernoulli polynomials. Mathematika, 64(2), 519-541. doi:10.1112/S0025579318000153. [PubMan] : Luca, F., Sha, M., & Shparlinski, I. E. (2017). On two functions arising in the study of the Euler and Carmichael quotients. Colloquium Mathematicum, 149(2), 179-192. doi:10.4064/cm6910-3-2017. [PubMan] : Banks, W. D., & Shparlinski, I. E. (2016). On Gauss sums and the evaluation of Stechkin's constant. Mathematics of Computation, 85(301), 2569-2581. doi:10.1090/mcom3056. [PubMan] : Camburu, O.-M., Ciolan, E.-A., Luca, F., Moree, P., & Shparlinski, I. E. (2016). Cyclotomic coefficients: gaps and jumps. Journal of Number Theory, 163, 211-237. doi:10.1016/j.jnt.2015.11.020. [PubMan] : Shparlinski, I. E. (2016). Polynomial values in small subgroups of finite fields. Revista Matemática Iberoamericana, 32(4), 1127-1136. doi:10.4171/rmi/909. [PubMan] : Banks, W. D., & Shparlinski, I. E. (2016). Fractional parts of Dedekind sums. International Journal of Number Theory, 12(5), 1137-1147. doi:10.1142/S179304211650069X. [PubMan] : Shparlinski, I. E. (2015). On the product of small Elkies primes. Proceedings of the American Mathematical Society, 143(4), 1441-1448. Retrieved from http://www.ams.org/journals/proc/2015-143-04/S0002-9939-2014-12345-8/S0002-9939-2014-12345-8.pdf. [PubMan] : Sha, M., & Shparlinski, I. E. (2015). Lang-Trotter and Sato-Tate distributions in single and double parametric families of elliptic curves. Acta Arithmetica, 170(4), 299-325. doi:10.4064/aa170-4-1. [PubMan] : Shparlinski, I. E. (2015). Cayley graphs generated by small degree polynomials over finite fields. SIAM Journal on Discrete Mathematics, 29(1), 376-381. doi:10.1137/14095813X. [PubMan] : Kurlberg, P., Luca, F., & Shparlinski, I. E. (2015). On the fixed points of the map x↦x x modulo a prime. Mathematical Research Letters, 22(1), 141-168. doi:10.4310/MRL.2015.v22.n1.a8. [PubMan] : von zur Gathen, J., & Shparlinski, I. E. (2015). Circulant graphs and GCD and LCM of subsets. Information Processing Letters, 115(2), 134-138. doi:10.1016/j.ipl.2014.07.014. [PubMan] : Gómez-Pérez, D., & Shparlinski, I. E. (2015). Subgroups generated by rational functions in finite fields. Monatshefte für Mathematik, 176(2), 241-253. doi:10.1007/s00605-014-0697-0. [PubMan] : Konyagin, S. V., & Shparlinski, I. E. (2015). Quadratic non-residues in short intervals. Proceedings of the American Mathematical Society, 143(10), 4261-4269. doi:10.1090/S0002-9939-2015-12584-1. [PubMan] : Roche-Newton, O., & Shparlinski, I. E. (2015). Polynomial values in subfields and affine subspaces of finite fields. The Quarterly Journal of Mathematics, 66(2), 693-706. doi:10.1093/qmath/hau032. [PubMan] : Dubickas, A., Sha, M., & Shparlinski, I. E. (2015). Explicit form of Cassels' p-adic embedding theorem for number fields. Canadian Journal of Mathematics, 67(5), 1046-1064. doi:10.4153/CJM-2015-021-2. [PubMan] : Bourgain, J., Konyagin, S. V., & Shparlinski, I. E. (2015). Character sums and deterministic polynomial root finding in finite fields. Mathematics of Computation, 84(296), 2969-2977. doi:10.1090/mcom/2946. [PubMan] : Kaszián, J., Moree, P., & Shparlinski, I. E. (2014). Periodic structure of the exponential pseudorandom number generator. In Applied algebra and number theory: essays in honor of Harald Niederreiter on the occasion of his 70th birthday (pp. 190-203). Cambridge: Cambridge University Press. [PubMan] : Chang, M.-C., & Shparlinski, I. E. (2014). Double character sums over subgroups and intervals. Bulletin of the Australian Mathematical Society, 90(3), 376-390. doi:10.1017/S0004972714000227. [PubMan] : Shparlinski, I. E. (2014). Multiple exponential and character sums with monomials. Mathematika, 60(2), 363-373. doi:10.1112/S0025579314000084. [PubMan]