I. Vinogradov

Most-cited papers

1. Information-Theoretic Approaches to Atoms-in-Molecules: Hirshfeld Family of Partitioning Schemes.

   Farnaz Heidar-Zadeh, P. Ayers, Toon Verstraelen, I. Vinogradov +2 more

   2017Journal of Physical Chemistry A133 citations Open access

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2. The Method of Trigonometric Sums in Number Theory

   I. Vinogradov

   1985119 citations

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3. Special Variants of the Method of Trigonometric Sums

   I. Vinogradov

   198575 citations

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4. DAUNet: Deep Augmented Neural Network for Pavement Crack Segmentation

   V. Polovnikov, Dmitriy Alekseev, I. Vinogradov, George V. Lashkia

   2021IEEE Access38 citations Open access

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5. On the Distribution of Power Residues and Non-Residues

   I. Vinogradov

   198519 citations

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6. Repeatability of lateralisation in mosquitofish Gambusia holbrooki despite evidence for turn alternation in detour tests

   I. Vinogradov, M. Jennions, T. Neeman, R. J. Fox

   2021Animal Cognition15 citations

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7. Hirshfeld partitioning from non-extensive entropies

   Farnaz Heidar-Zadeh, I. Vinogradov, P. Ayers

   2017Theoretical Chemistry accounts15 citations

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8. The effect of sex, age and boldness on inhibitory control

   I. Vinogradov, M. Jennions, E. van Veen, C. Fichtel +2 more

   2022Animal Behaviour14 citations Open access

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9. On the Mean Value of the Number of Classes of Proper Primitive Forms of Negative Discriminant

   I. Vinogradov

   19859 citations

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10. A New Estimate for G(n) in Waring’s Problem

    I. Vinogradov

    19858 citations

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11. On the Distribution of Indices

    I. Vinogradov

    19856 citations

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12. New Estimates for Weyl Sums

    I. Vinogradov

    19856 citations

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13. A New Method of Deriving Asymptotic Expressions for Arithmetic Functions

    I. Vinogradov

    19855 citations

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14. On the Upper Bound for G(n) in Waring’s Problem

    I. Vinogradov

    19854 citations

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15. On a Bound for the Least n th Power Non-Residue

    I. Vinogradov

    19853 citations

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16. On Waring’s Theorem

    I. Vinogradov

    19853 citations

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17. Estimates of Certain Simple Trigonometric Sums with Prime Numbers

    I. Vinogradov

    19852 citations

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18. An Elementary Proof of a General Theorem in Analytic Number Theory

    I. Vinogradov

    19852 citations

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19. On the Distribution of Fractional Parts of Values of a Function of Two Variables

    I. Vinogradov

    19851 citations

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20. ON THE PRESENT STATE AND THE MAIN DIRECTIONS OF RESEARCH IN ANALYTIC NUMBER THEORY

    I. Vinogradov, A. G. Postnikov

    19671 citations Open access

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21. Senescence of cognitive abilities in eastern mosquitofish, Gambusia holbrooki

    I. Vinogradov, R. J. Fox, C. Fichtel, P. Kappeler +1 more

    2026Animal Behaviour0 citations Open access

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22. Comparative analysis of methods for measuring residual stresses in a nickel alloy after laser shock peening

    E. Gachegova, I. Vinogradov, А. Yu. Iziumovа, A. Vshivkov +4 more

    2025Diagnostics Resource and Mechanics of materials and structures0 citations Open access

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23. The Model of Managing a Region as a Quasi-corporation, Taking into Account the Innovation Component

    O. Goiher, Ekaterina M. Gusarova, Olga S. Bugrova, I. Vinogradov +1 more

    2022Imitation Market Modeling in Digital Economy: Game Theoretic Approaches0 citations

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24. On the Distribution of the Fractional Parts of Values of a Polynomial

    I. Vinogradov

    19850 citations

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25. Certain Problems in Analytic Number Theory

    I. Vinogradov

    19850 citations

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26. ON THE PRESENT STATE AND THE MAIN DIRECTIONS OF RESEARCH IN ANALYTIC NUMBER THEORY

    I. Vinogradov, A. G. Postnikov

    19670 citations Open access

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