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Precise Constants in Bosonization Formulas on Riemann Surfaces. I.
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- Communications in Mathematical Physics, 2008, v. 282, n. 2, p. 339, doi. 10.1007/s00220-008-0560-z
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- Article
Explicit uniform estimation of rational points I. Estimation of heights.
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- Journal für die Reine und Angewandte Mathematik, 2012, v. 2012, n. 668, p. 59, doi. 10.1515/CRELLE.2011.138
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Concentration theorem and relative fixed point formula of Lefschetz type in Arakelov geometry.
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- Journal für die Reine und Angewandte Mathematik, 2012, v. 2012, n. 665, p. 207, doi. 10.1515/CRELLE.2011.118
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Arakelov theory of noncommutative arithmetic surfaces.
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- Journal für die Reine und Angewandte Mathematik, 2010, v. 2010, n. 642, p. 37, doi. 10.1515/CRELLE.2010.036
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Heights and metrics with logarithmic singularities.
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- Journal für die Reine und Angewandte Mathematik, 2009, v. 2009, n. 627, p. 97, doi. 10.1515/CRELLE.2009.013
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- Article
Fibonacci and Lucas Numbers of the Form 2a + 3b + 5c + 7d.
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- Symmetry (20738994), 2018, v. 10, n. 10, p. 509, doi. 10.3390/sym10100509
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An effective Arakelov-theoretic version of the hyperbolic isogeny theorem.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 2016, v. 160, n. 3, p. 463, doi. 10.1017/S0305004115000791
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Sur L'équation Diophantienne (xn−1)/(x−1)=yq, III.
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- Proceedings of the London Mathematical Society, 2002, v. 84, n. 1, p. 59, doi. 10.1112/plms/84.1.59
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©-ADMISSIBLE THEORY.
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- Proceedings of the London Mathematical Society, 1999, v. 79, n. 3, p. 481, doi. 10.1112/S0024611599011995
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- Article
On the Diophantine equation x − kxy + y + lx = 0.
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- Chinese Annals of Mathematics, 2013, v. 34, n. 5, p. 715, doi. 10.1007/s11401-013-0792-x
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On the equation.
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- International Journal of Number Theory, 2018, v. 14, n. 4, p. 1073, doi. 10.1142/S1793042118500653
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- Article
The size function for cyclic cubic fields.
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- International Journal of Number Theory, 2018, v. 14, n. 2, p. 399, doi. 10.1142/S1793042118500276
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- Article
Computing dimensions of spaces of Arakelov divisors of number fields.
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- International Journal of Number Theory, 2017, v. 13, n. 2, p. 487, doi. 10.1142/S1793042117500270
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- Article
THE DIOPHANTINE EQUATION (2am - 1)<sup>x</sup> + (2m)<sup>y</sup> = (2am + 1)<sup>z</sup>.
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- International Journal of Number Theory, 2012, v. 8, n. 8, p. 2035, doi. 10.1142/S1793042112501151
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- Article
LOCAL HEIGHTS ON ELLIPTIC CURVES AND INTERSECTION MULTIPLICITIES.
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- International Journal of Number Theory, 2012, v. 8, n. 6, p. 1477, doi. 10.1142/S179304211250087X
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CYCLIC SEXTIC TRINOMIALS x<sup>6</sup> + Ax + B.
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- International Journal of Number Theory, 2010, v. 6, n. 1, p. 161, doi. 10.1142/S1793042110002843
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An Arakelov-theoretic approach to naïve heights on hyperelliptic Jacobians.
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- New York Journal of Mathematics, 2014, v. 20, p. 927
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An arithmetic Hilbert-Samuel theorem for pointed stable curves.
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- Journal of the European Mathematical Society (EMS Publishing), 2012, v. 14, n. 2, p. 321, doi. 10.4171/JEMS/304
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Effective bounds of linear serieson algebraic varieties and arithmetic varieties.
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- Journal für die Reine und Angewandte Mathematik, 2018, v. 2018, n. 736, p. 255, doi. 10.1515/crelle-2015-0025
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- Article
On the size of the fundamental solution of the Pell equation.
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- Journal für die Reine und Angewandte Mathematik, 2016, v. 2016, n. 717, p. 1, doi. 10.1515/crelle-2014-0031
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- Article
ON BOUNDEDNESS OF FAMILIES OF HOLOMORPHIC FOLIATIONS.
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- International Journal of Mathematics, 2009, v. 20, n. 1, p. 15, doi. 10.1142/S0129167X09005157
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- Article
Symplectic Parshin-Arakelov inequality.
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- IMRN: International Mathematics Research Notices, 2000, v. 2000, n. 18, p. 941, doi. 10.1155/S1073792800000490
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Strict Arakelov inequality for a family of varieties of general type.
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- Electronic Research Archive, 2022, v. 30, n. 7, p. 1, doi. 10.3934/era.2022135
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On Szpiro's Discriminant Conjecture.
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- IMRN: International Mathematics Research Notices, 2014, v. 2014, n. 16, p. 4457, doi. 10.1093/imrn/rnt079
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Pfaffians, the $G$-signature theorem and Galois Hodge discriminants.
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- Compositio Mathematica, 2007, v. 143, n. 5, p. 1213, doi. 10.1112/S0010437X07002758
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On the Diophantine equation p<sup>2m</sup>-- Dx<sup>2</sup> = l.
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- Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2014, v. 27, n. 1, p. 45
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The criterions for the equation x<sup>3</sup> --8 = py<sup>2</sup> has primitive positive integer solutions.
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- Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2014, v. 27, n. 1, p. 38
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Integral models in unramified mixed characteristic (0, 2) of hermitian orthogonal Shimura varieties of PEL type, Part II.
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- Mathematische Nachrichten, 2014, v. 287, n. 14/15, p. 1756, doi. 10.1002/mana.201300001
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Schubert polynomials and Arakelov theory of orthogonal flag varieties.
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- Mathematische Zeitschrift, 2011, v. 268, n. 1/2, p. 355, doi. 10.1007/s00209-010-0676-7
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Der relative Satz von Schanuel.
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- Manuscripta Mathematica, 2008, v. 126, n. 4, p. 505
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Elliptic surfaces and intersections of adelic ℝ-divisors.
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- Journal of the European Mathematical Society (EMS Publishing), 2024, v. 26, n. 9, p. 3639, doi. 10.4171/JEMS/1354
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Herman's Condition and Siegel Disks of Bi-Critical Polynomials.
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- Communications in Mathematical Physics, 2016, v. 344, n. 2, p. 397, doi. 10.1007/s00220-016-2614-y
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On the Birational Invariance of the BCOV Torsion of Calabi-Yau Threefolds.
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- Communications in Mathematical Physics, 2012, v. 311, n. 2, p. 301, doi. 10.1007/s00220-012-1448-5
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- Article
DIOPHANTINE EQUATIONS FOR ANALYTIC FUNCTIONS.
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- Online Journal of Analytic Combinatorics, 2019, n. 14, p. 1
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General solving linear Diophantine equations based on a modular transformation for risk assessment in information security.
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- Ukrainian Scientific Journal of Information Security, 2016, v. 22, n. 1, p. 75, doi. 10.18372/2225-5036.22.10457
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ON A DIOPHANTINE EQUATION ON TRIANGULAR NUMBERS.
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- Miskolc Mathematical Notes, 2017, v. 18, n. 2, p. 779, doi. 10.18514/MMN.2017.1536
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Schubert polynomials and Arakelov theory of symplectic flag varieties.
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- Journal of the London Mathematical Society, 2010, v. 82, n. 1, p. 89, doi. 10.1112/jlms/jdq015
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Computations In Ancient Indian Mathematics.
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- Journal of Combinatorics, Information & System Sciences, 2019, v. 44, n. 1-4, p. 103, doi. 10.32381/JCISS.2019.44.1-4.7
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A Note On Some Diophantine Equations.
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- Matematika, 2015, v. 31, p. 59, doi. 10.11113/matematika.v31.n1.745
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Higher arithmetic Chow groups.
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- Commentarii Mathematici Helvetici, 2012, v. 87, n. 3, p. 521, doi. 10.4171/CMH/262
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Arakelov theory of even orthogonal Grassmannians.
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- Commentarii Mathematici Helvetici, 2007, v. 82, n. 3, p. 455, doi. 10.4171/cmh/99
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ANALYTIC SPECTRUM OF RIG CATEGORIES.
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- Theory & Applications of Categories, 2014, v. 29, n. 6, p. 188
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The Diophantine Equation 8x² - y² + 8x(1 + t) + (2t + 1)² = 0 and t-Balancing Numbers.
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- ISRN Otolaryngology, 2014, p. 1, doi. 10.1155/2014/897834
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