Дмитрий Александрович Попов

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All published works

Action	Title	Year	Authors
+	Формулы Вороного и задача Гаусса	2024	Дмитрий Александрович Попов
+	Voronoi's formulae and the Gauss problem	2024	Дмитрий Александрович Попов
+	Numerical Investigation of the Properties of Remainder in Gauss’s Circle Problem	2022	Дмитрий Александрович Попов D. V. Sushko
+	On Jutila's integral in the circle problem	2022	Maxim Aleksandrovich Korolev Дмитрий Александрович Попов
+ PDF Chat	Об интеграле Ютилы в проблеме круга	2022	Maxim Aleksandrovich Korolev Дмитрий Александрович Попов
+	Distribution of prime numbers and the discrete spectrum of the Laplace operator	2020	Дмитрий Александрович Попов
+	Circle problem and the spectrum of the Laplace operator on closed 2-manifolds	2019	Дмитрий Александрович Попов
+	Circle problem and the spectrum of the Laplace operator on closed 2-manifolds	2019	Дмитрий Александрович Попов
+	Relationship between the Discrete and Resonance Spectrum for the Laplace Operator on a Noncompact Hyperbolic Riemann Surface	2019	Дмитрий Александрович Попов
+	The discrete spectrum of the Laplace operator on the fundamental domain of the modular group and the Chebyshev psi-function	2018	Дмитрий Александрович Попов
+	Bounds and behaviour of the quantities $ P(x)$, $ \Delta(x)$ on short intervals	2016	Дмитрий Александрович Попов
+	Оценки и поведение величин $P(x)$, $\Delta(x)$ на коротких интервалах	2016	Дмитрий Александрович Попов
+	On the Weyl formula for the Laplace operator on hyperbolic Riemann surfaces	2014	Дмитрий Александрович Попов
+ PDF Chat	О формуле Вейля для оператора Лапласа на гиперболических римановых поверхностях	2014	Дмитрий Александрович Попов Дмитрий Александрович Попов
+	On the Selberg trace formula for strictly hyperbolic groups	2013	Дмитрий Александрович Попов
+	Explicit formula for the spectral counting function of the Laplace operator on a compact Riemannian surface of genus g > 1	2012	Дмитрий Александрович Попов
+ PDF Chat	Явная формула для функции распределения собственных значений оператора Лапласа на компактной римановой поверхности рода $g&gt;1$	2012	Дмитрий Александрович Попов Дмитрий Александрович Попов Дмитрий Александрович Попов Дмитрий Александрович Попов
+	On the second term in the Weyl formula for the spectrum of the Laplace operator on the two-dimensional torus and the number of integer points in spectral domains	2011	Дмитрий Александрович Попов
+ PDF Chat	О втором члене в формуле Вейля для спектра оператора Лапласа на двумерном торе и числе целых точек в спектральных областях	2011	Дмитрий Александрович Попов Дмитрий Александрович Попов
+	Asymptotic behaviour of the positive spectrum of a family of periodic Sturm-Liouville problems under continuous passage from a definite problem to an indefinite one	2009	Дмитрий Александрович Попов
+	Remarks on uniform combined estimates of oscillatory integrals with simple singularities	2008	Дмитрий Александрович Попов
+ PDF Chat	Замечания о равномерных составных оценках осциллирующих интегралов с простыми особенностями	2008	Дмитрий Александрович Попов Дмитрий Александрович Попов
+	Asymptotic behaviour of the positive spectrum for a family of periodic Sturm-Liouville problems in the transition from a definite problem to indefinite one	2006	Дмитрий Александрович Попов
+ PDF Chat	Обобщенное преобразование Радона на плоскости, его обращение и условия Кавальери	2001	Дмитрий Александрович Попов Дмитрий Александрович Попов
+	On the number of lattice points in three-dimensional solids of revolution	2000	Дмитрий Александрович Попов
+	Spherical convergence of the Fourier integral of the indicator function of an $ N$-dimensional domain	1998	Дмитрий Александрович Попов
+	Reconstruction of characteristic functions in two-dimensional Radon tomography	1998	Дмитрий Александрович Попов
+	Estimates with constants for some classes of oscillatory integrals	1997	Дмитрий Александрович Попов
+	Einstein spaces and Yang-Mills fields	1975	Дмитрий Александрович Попов Leonid Daikhin

Common Coauthors

Coauthor	Papers Together
Maxim Aleksandrovich Korolev	2
Leonid Daikhin	1
D. V. Sushko	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	SPECTRAL THEORY OF AUTOMORPHIC FUNCTIONS, THE SELBERG ZETA-FUNCTION, AND SOME PROBLEMS OF ANALYTIC NUMBER THEORY AND MATHEMATICAL PHYSICS	1979	Alexei B. Venkov	10
+ PDF Chat	The Selberg Trace Formula for PSL(2,ℝ) Volume I	1976	Dennis A. Hejhal	9
+	Statistical properties of the spectra of Laplace-Beltrami operators on Liouville surfaces	1993	Denis V. Kosygin A A Minasov Yakov G. Sinai	9
+	Basic Analytic Number Theory	1993	Anatolij A. Karatsuba Melvyn B. Nathanson	8
+ PDF Chat	On the Dirichlet divisor problem in short intervals	2013	Aleksandar Ivić Wenguang Zhai	8
+	Estimates with constants for some classes of oscillatory integrals	1997	Дмитрий Александрович Попов	7
+	Two classical lattice point problems	1961	K. S. Gangadharan A. E. Ingham	7
+ PDF Chat	The Selberg Trace Formula for PSL(2,ℝ)	1983	Dennis A. Hejhal	7
+	Sign Changes of E(T), Δ(x), and P(x)	1994	D. R. Heath‐Brown Kai-Man Tsang	7
+	Exponential Sums and Lattice Points III	2003	M. N. Huxley	7
+	The Selberg trace formula and the Riemann zeta function	1976	Dennis A. Hejhal	7
+ PDF Chat	The distribution and moments of the error term in the Dirichlet divisor problem	1992	D. R. Heath‐Brown	7
+ PDF Chat	Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function	2010	Kai-Man Tsang	6
+	A Treatise on the Theory of Bessel Functions	1944	H. T. Davis G. N. Watson	6
+ PDF Chat	On the higher moments of the error term in the divisor problem	2007	Aleksandar Ivić Patrick Sargos	6
+	On the divisor and circle problems	1988	Henryk Iwaniec C. J. Mozzochi	6
+ PDF Chat	On the divisor function and the Riemann zeta-function in short intervals	2008	Aleksandar Ivić	6
+ PDF Chat	Nombre de points entiers dans une famille homothétique de domaines de ${R}$	1977	Yves Colin de Verdìère	6
+ PDF Chat	Lattice points in a circle: An improved mean-square asymptotics	2004	Werner Georg Nowak	6
+	Exponential Sums and Lattice Points II	1993	M. N. Huxley	5
+	None	2003	K. Soundararajan	5
+	Moments over short intervals	2005	Yuk-Kam Lau Kai-Man Tsang	5
+ PDF Chat	Distribution of the error term for the number of lattice points inside a shifted circle	1993	Pavel Bleher Zheming Cheng Freeman J. Dyson Joel L. Lebowitz	5
+	Circle problem and the spectrum of the Laplace operator on closed 2-manifolds	2019	Дмитрий Александрович Попов	5
+ PDF Chat	On higher-power moments of Δ(x) (II)	2004	Wenguang Zhai	4
+ PDF Chat	Large values of certain number-theoretic error terms	1990	Aleksandar Ivić	4
+	The analysis of linear partial differential operators	1990	Lars Hörmander	4
+	New omega theorems for two classical lattice point problems	1981	James Lee Hafner	4
+ PDF Chat	Number variance for arithmetic hyperbolic surfaces	1994	Wenzhi Luo Peter Sarnak	4
+	Arithmetical Functions	1970	K. Chandrasekharan	4
+	A Dirichlet Series of Eigenvalue Type with Applications to Asymptotic Estimates	1981	Burton Randol	4
+	Bounds and behaviour of the quantities $ P(x)$, $ \Delta(x)$ on short intervals	2016	Дмитрий Александрович Попов	4
+	Large values of the error term in the divisor problem	1983	Aleksandar Ivić	4
+	Higher-Power Moments of δ(<i>x</i> ), E(<i>t</i> ) and P(<i>x</i> )	1992	Kai-Man Tsang	4
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	4
+	Van der Corput's Method of Exponential Sums	1991	S. W. Graham Grigori Kolesnik	4
+	REMARKS ON THE STATIONARY PHASE METHOD AND COXETER NUMBERS	1973	Vladimir I. Arnold	4
+	On the wave equation on a compact Riemannian manifold without conjugate points	1977	Pierre Bérard	4
+ PDF Chat	On the tails of the limiting distribution function of the error term in the Dirichlet divisor problem	2001	Yuk-Kam Lau	4
+	Area, Lattice Points, and Exponential Sums	1996	M. N. Huxley	4
+ PDF Chat	The spectral function of an elliptic operator	1968	Lars Hörmander	3
+	Circle problem and the spectrum of the Laplace operator on closed 2-manifolds	2019	Дмитрий Александрович Попов	3
+	SELBERG'S TRACE FORMULA FOR THE HECKE OPERATOR GENERATED BY AN INVOLUTION, AND THE EIGENVALUES OF THE LAPLACE-BELTRAMI OPERATOR ON THE FUNDAMENTAL DOMAIN OF THE MODULAR GROUP $ PSL(2,\mathbf{Z})$	1978	Alexei B. Venkov	3
+	Introduction to Analytic Number Theory	1988	Alexander Postnikov	3
+	Second-order linear differential equations with two turning points	1975	F. W. J. Olver	3
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	D. B. Owen Milton Abramowitz Irene A. Stegun	3
+	Oscillatory integrals, lagrange immersions and unfolding of singularities	1974	J. J. Duistermaat	3
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	3
+	Оценки и поведение величин $P(x)$, $\Delta(x)$ на коротких интервалах	2016	Дмитрий Александрович Попов	3
+ PDF Chat	Явная формула для функции распределения собственных значений оператора Лапласа на компактной римановой поверхности рода $g&gt;1$	2012	Дмитрий Александрович Попов Дмитрий Александрович Попов Дмитрий Александрович Попов Дмитрий Александрович Попов	3