Modular forms (Q1053732)

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scientific article; zbMATH DE number 3819837

Language	Label	Description	Also known as
English	Modular forms	scientific article; zbMATH DE number 3819837

Statements

scholarly article

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Modular forms (English)

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Journal of Soviet Mathematics

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publication date

1983

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zbMATH Keywords

bibliography

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survey article

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modular forms

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automorphic forms

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L- functions

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representation theory of groups

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Artin conjecture

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lifting

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A. A. Panchishkin

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MaRDI profile type

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Symmetric squares of zeta-functions of Siegel modular forms of genus 2

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The behaviour of theta series of genus n for indefinite quadratic forms by modular substitutions

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SPECTRAL THEORY OF AUTOMORPHIC FUNCTIONS, THE SELBERG ZETA-FUNCTION, AND SOME PROBLEMS OF ANALYTIC NUMBER THEORY AND MATHEMATICAL PHYSICS

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SYMMETRIC SQUARES OF ZETA-FUNCTIONS FOR THE PRINCIPAL CONGRUENCE SUBGROUP OF THE SIEGEL GROUP OF GENUS 2

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Expansion in the characteristic functions of the momentless problem in the case of axially symmetric oscillations of a thin shell

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EISENSTEIN SERIES ON THE SYMPLECTIC GROUP

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COHOMOLOGY OF DISCRETE GROUPS AND DIRICHLET SERIES CONNECTED WITH JACQUET-LANGLANDS CUSP FORMS

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Формулы для числа представлений чисел некоторыми регулярными и полурегулярными тернарными квадратичными формами, принадлежащими двухклассным родам

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NON-ARCHIMEDEAN INTEGRATION AND JACQUET-LANGLANDS<i>p</i>-ADIC<i>L</i>-FUNCTIONS

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On the generating functions of certain Eisenstein series

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Congruences on Some Special Modular Forms

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On the Mertens conjecture for cusp forms

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Modular descent and the Saito-Kurokawa conjecture

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Dirichlet series corresponding to Siegel's modular forms

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On the composition series of principal series representations of a three-fold covering group of <i>SL</i>(2, <i>K</i>)

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A trace formula for reductive groups. I: Terms associated to classes in G(Q)

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On certain Dirichlet series associated with Hilbert modular forms and Rankin's method

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On the Doi-Naganuma lifting associated with imaginary quadratic fields

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The modular symbol and continued fractions in higher dimensions

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Twists of newforms and pseudo-eigenvalues of \(W\)-operators

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On the conjecture of Birch and Swinnerton-Dyer

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Formes Modulaires et Representations De GL(2)

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La conjecture de Weil. I

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Les Constantes des Equations Fonctionnelles des Fonctions L

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Les constantes locales de l'équation fonctionnelle de la fonction L d'Artin d'une représentation orthogonale

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Formes modulaires de poids $1$

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Congruences for the Fourier coefficients of certain modular forms.

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On the functional equation of certain Dirichlet series

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On theta functions of real algebraic number fields

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Theta functions and modular jets

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Automorphic forms on covering groups of GL(2)

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Die Invarianz gewisser von Thetareihen erzeugter Vektorräume unter Heckeoperatoren

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Elliptic curves and automorphic representations

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Uniqueness and existence of Whittaker models for the metaplectic group

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A relation between automorphic forms on <i>GL</i> (2) and <i>GL</i> (3)

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Automorphic <i>L</i> -functions of half-integral weight

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Distinguished representations and modular forms of half-integral weight

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Mean values of L-functions associated to elliptic, Fermat and other curves at the centre of the critical strip

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Zeta functions of simple algebras

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Ramanujan type formulas for \(\zeta (2k-1)\)

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Modular forms arising from spherical polynomials and positive definite quadratic forms

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The algebraist’s upper half-plane

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On the periods of Abelian integrals and a formula of Chowla and Selberg. With an appendix by David E. Rohrlich

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On the representation of a number as a sum of squares

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Minkowskische Reduktionstheorie über Funktionenkörpern

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A note on three lemmas of Shimura

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Eigenvalues of Hecke operators on \(\text{SL}(2, \mathbb Z)\)

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Periods of primitive forms

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The basis problem for modular forms on \(\Gamma_ 0(N)\)

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Automorphic forms on \(\mathrm{GL}(2)\). Part II

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Automorphic forms on GL (2)

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Automorphic forms on \(GL(3)\). I, II

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A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)

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An elucidation of ''Infinite-dimensional algebras\dots and the very strange formula.'' \(E^{(1)}_8\) and the cube root of the modular invariant j

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Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula

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\(p\)-adic interpolation of real analytic Eisenstein series

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The Eisenstein Measure and P-Adic Interpolation

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Modular forms of degree <i>n</i> and representation by quadratic forms

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2-Adic and 3-Adic Ordinals of (1/<i>j</i> )-Expansion Coefficients for the Weight 2 Eisenstein Series

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Classification of the primitive representations of the Galois group of local fields

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Modular forms of half-integral weight on \(\Gamma_0(4)\)

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A note on modular forms mod p

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On <i>p</i>-adic properties of the Eichler-Selberg trace formula II

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A complex Airy integral

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On certain arithmetic automorphic forms for SU(1,q)

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Theta-functions and Hilbert modular forms

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Congruences between Siegel modular forms of degree two

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Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two

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On the meromorphy of Euler products

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The Langlands conjecture for 𝐺𝑙₂ of a local field

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Problems in the theory of automorphic forms to Salomon Bochner in gratitude

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Shimura Varieties and the Selberg Trace Formula

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Stable Conjugacy: Definitions and Lemmas

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Eisenstein series and decomposition theory over function fields

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L-series of Rankin type and their functional equations

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On p-adic L-functions associated to elliptic curves

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Indefinite Quadratische Formen und Eulerprodukte

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Konstruktion von Spitzenformen beliebigen Grades mit Hilfe von Thetareihen. (Construction of cusp forms of arbitrary degree by means of Theta series)

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Über ein Analogon zur Vermutung von Saito-Kurokawa. (On an analogue to the Saito-Kurokawa conjection)

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Über eine Spezialschar von Modulformen zweiten Grades. (On a ''Spezialschar'' of modular forms of second degree.)

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Modular Forms from Codes

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On the arithmetic of special values of L functions

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<i>p</i>-Adic properties of Siegel modular forms of degree 2

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On Shimura’s trace formula

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On modular forms associated with indefinite quadratic forms of signature \((2,n-2)\)

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A cubic analogue of the theta series.

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An algorithm for computing modular forms on \(\Gamma_0(N)\)

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Automorphic Forms Constructed from the Weil Representation: Holomorphic Case

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Modular Forms for Γ 0 (N) and Dirichlet Series

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Congruences entre séries d'Eisenstein, dans le cas supersingulier

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Categories tannakiennes

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Trace formula of certain Hecke operators for <i>Γ</i><sub>0</sub>(<i>q<sup>ν</sup></i>)

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Die Dimensionen der Räume automorpher Formen zu Modulgruppen in Quaternionenschiefkörpern über reellquadratischen Zahlkörpern

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Construction of arithmetic automorphic functions for special Clifford groups

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Automorphic forms and the periods of abelian varieties

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On certain reciprocity-laws for theta functions and modular forms

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On modular forms of half integral weight

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On some arithmetic properties of modular forms of one and several variables

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On the periods of modular forms

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The arithmetic of automorphic forms with respect to a unitary group

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The arithmetic of certain zeta functions and automorphic forms on orthogonal groups

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The special values of the zeta functions associated with cusp forms

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The special values of the zeta functions associated with Hilbert modular forms

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L-functions for Gl(n)

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Weil type representations and automorphic forms

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Finite Groups and Modular Functions

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Constructions of modular forms by means of transformation formulas for theta series

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On the local Langlands conjecture for GL(2)

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Engendrement par des séries theta de certains espaces de formes modulaires

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Formes quadratiques à 4 variables et relèvement

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Dirichlet series and automorphic forms

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Sur les Périodes des Intégrales Abéliennes

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Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen

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On an explicit construction of Siegel modular forms of genus 2

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Siegel's modular forms and the arithmetic of quadratic forms

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Modular forms associated to real quadratic fields

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full work available at URL

https://doi.org/10.1007/bf01090176

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Identifiers

zbMATH Open document ID

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10.1007/BF01090176

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:1053732

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