Modular forms
type: Item
instance of: scholarly article
title: Modular forms
zbMATH Open document ID: 0518.10027
DOI: 10.1007/BF01090176
published in: Journal of Soviet Mathematics
publication date: 1983-01-01T00:00:00Z
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 11F70
Mathematics Subject Classification ID: 11-02
Mathematics Subject Classification ID: 11F12
Mathematics Subject Classification ID: 11F27
Mathematics Subject Classification ID: 11F67
Mathematics Subject Classification ID: 11F85
Mathematics Subject Classification ID: 11R39
Mathematics Subject Classification ID: 11S37
Mathematics Subject Classification ID: 14-02
Mathematics Subject Classification ID: 14G20
Mathematics Subject Classification ID: 14G25
Mathematics Subject Classification ID: 22E50
Mathematics Subject Classification ID: 22E55
zbMATH DE Number: 3819837
zbMATH Keywords: bibliography
zbMATH Keywords: survey article
zbMATH Keywords: modular forms
zbMATH Keywords: automorphic forms
zbMATH Keywords: L- functions
zbMATH Keywords: representation theory of groups
zbMATH Keywords: Artin conjecture
zbMATH Keywords: lifting
author: A. A. Panchishkin
MaRDI profile type: Publication
cites work: Q4173442
cites work: Symmetric squares of zeta-functions of Siegel modular forms of genus 2
cites work: Q4170810
cites work: The behaviour of theta series of genus n for indefinite quadratic forms by modular substitutions
cites work: Q3882526
cites work: SPECTRAL THEORY OF AUTOMORPHIC FUNCTIONS, THE SELBERG ZETA-FUNCTION, AND SOME PROBLEMS OF ANALYTIC NUMBER THEORY AND MATHEMATICAL PHYSICS
cites work: Q3872542
cites work: Q4138789
cites work: SYMMETRIC SQUARES OF ZETA-FUNCTIONS FOR THE PRINCIPAL CONGRUENCE SUBGROUP OF THE SIEGEL GROUP OF GENUS 2
cites work: Expansion in the characteristic functions of the momentless problem in the case of axially symmetric oscillations of a thin shell
cites work: Q3859859
cites work: Q3208742
cites work: Q3852280
cites work: EISENSTEIN SERIES ON THE SYMPLECTIC GROUP
cites work: COHOMOLOGY OF DISCRETE GROUPS AND DIRICHLET SERIES CONNECTED WITH JACQUET-LANGLANDS CUSP FORMS
cites work: Формулы для числа представлений чисел некоторыми регулярными и полурегулярными тернарными квадратичными формами, принадлежащими двухкл
cites work: NON-ARCHIMEDEAN INTEGRATION AND JACQUET-LANGLANDSp-ADICL-FUNCTIONS
cites work: Q3207051
cites work: Q4195024
cites work: Q3887594
cites work: On the generating functions of certain Eisenstein series
cites work: Congruences on Some Special Modular Forms
cites work: On the Mertens conjecture for cusp forms
cites work: Modular descent and the Saito-Kurokawa conjecture
cites work: Dirichlet series corresponding to Siegel's modular forms
cites work: Q4175629
cites work: On the composition series of principal series representations of a three-fold covering group of SL(2, K)
cites work: A trace formula for reductive groups. I: Terms associated to classes in G(Q)
cites work: On certain Dirichlet series associated with Hilbert modular forms and Rankin's method
cites work: On the Doi-Naganuma lifting associated with imaginary quadratic fields
cites work: The modular symbol and continued fractions in higher dimensions
cites work: Twists of newforms and pseudo-eigenvalues of \(W\)-operators
cites work: Q4193553
cites work: Q3049039
cites work: Q4137271
cites work: On the conjecture of Birch and Swinnerton-Dyer
cites work: Q4161394
cites work: Q4146792
cites work: Formes Modulaires et Representations De GL(2)
cites work: La conjecture de Weil. I
cites work: Les Constantes des Equations Fonctionnelles des Fonctions L
cites work: Les constantes locales de l'équation fonctionnelle de la fonction L d'Artin d'une représentation orthogonale
cites work: Formes modulaires de poids $1$
cites work: Congruences for the Fourier coefficients of certain modular forms.
cites work: On the functional equation of certain Dirichlet series
cites work: Q4134060
cites work: Q4177658
cites work: On theta functions of real algebraic number fields

Modular forms (cites work)
cites work: Q5672700

Modular forms (cites work)
cites work: Q4154934

Modular forms (cites work)
cites work: Theta functions and modular jets

Modular forms (cites work)
cites work: Automorphic forms on covering groups of GL(2)

Modular forms (cites work)
cites work: Die Invarianz gewisser von Thetareihen erzeugter Vektorräume unter Heckeoperatoren

Modular forms (cites work)
cites work: Q4145789

Modular forms (cites work)
cites work: Elliptic curves and automorphic representations

Modular forms (cites work)
cites work: Uniqueness and existence of Whittaker models for the metaplectic group

Modular forms (cites work)
cites work: A relation between automorphic forms on GL (2) and GL (3)

Modular forms (cites work)
cites work: Q4196623

Modular forms (cites work)
cites work: Automorphic L -functions of half-integral weight

Modular forms (cites work)
cites work: Distinguished representations and modular forms of half-integral weight

Modular forms (cites work)
cites work: Q4126430

Modular forms (cites work)
cites work: Mean values of L-functions associated to elliptic, Fermat and other curves at the centre of the critical strip

Modular forms (cites work)
cites work: Zeta functions of simple algebras

Modular forms (cites work)
cites work: Ramanujan type formulas for \(\zeta (2k-1)\)

Modular forms (cites work)
cites work: Modular forms arising from spherical polynomials and positive definite quadratic forms

Modular forms (cites work)
cites work: The algebraist’s upper half-plane

Modular forms (cites work)
cites work: On the periods of Abelian integrals and a formula of Chowla and Selberg. With an appendix by David E. Rohrlich

Modular forms (cites work)
cites work: On the representation of a number as a sum of squares

Modular forms (cites work)
cites work: Minkowskische Reduktionstheorie über Funktionenkörpern

Modular forms (cites work)
cites work: A note on three lemmas of Shimura

Modular forms (cites work)
cites work: Q3870964

Modular forms (cites work)
cites work: Eigenvalues of Hecke operators on \(\text{SL}(2, \mathbb Z)\)

Modular forms (cites work)
cites work: Periods of primitive forms

Modular forms (cites work)
cites work: Q4200285

Modular forms (cites work)
cites work: The basis problem for modular forms on \(\Gamma_ 0(N)\)

Modular forms (cites work)
cites work: Q3905353

Modular forms (cites work)
cites work: Q3050498

Modular forms (cites work)
cites work: Automorphic forms on \(\mathrm{GL}(2)\). Part II

Modular forms (cites work)
cites work: Automorphic forms on GL (2)

Modular forms (cites work)
cites work: Automorphic forms on \(GL(3)\). I, II

Modular forms (cites work)
cites work: A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)

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

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

Modular forms (cites work)
cites work: \(p\)-adic interpolation of real analytic Eisenstein series

Modular forms (cites work)
cites work: The Eisenstein Measure and P-Adic Interpolation

Modular forms (cites work)
cites work: Modular forms of degree n and representation by quadratic forms

Modular forms (cites work)
cites work: 2-Adic and 3-Adic Ordinals of (1/j )-Expansion Coefficients for the Weight 2 Eisenstein Series

Modular forms (cites work)
cites work: Classification of the primitive representations of the Galois group of local fields

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

Modular forms (cites work)
cites work: A note on modular forms mod p

Modular forms (cites work)
cites work: On p-adic properties of the Eichler-Selberg trace formula II

Modular forms (cites work)
cites work: A complex Airy integral

Modular forms (cites work)
cites work: On certain arithmetic automorphic forms for SU(1,q)

Modular forms (cites work)
cites work: Q4149521

Modular forms (cites work)
cites work: Theta-functions and Hilbert modular forms

Modular forms (cites work)
cites work: Congruences between Siegel modular forms of degree two

Modular forms (cites work)
cites work: Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two

Modular forms (cites work)
cites work: On the meromorphy of Euler products

Modular forms (cites work)
cites work: The Langlands conjecture for 𝐺𝑙₂ of a local field

Modular forms (cites work)
cites work: Q5638492

Modular forms (cites work)
cites work: Problems in the theory of automorphic forms to Salomon Bochner in gratitude

Modular forms (cites work)
cites work: Shimura Varieties and the Selberg Trace Formula

Modular forms (cites work)
cites work: Stable Conjugacy: Definitions and Lemmas

Modular forms (cites work)
cites work: Eisenstein series and decomposition theory over function fields

Modular forms (cites work)
cites work: Q4200144

Modular forms (cites work)
cites work: L-series of Rankin type and their functional equations

Modular forms (cites work)
cites work: On p-adic L-functions associated to elliptic curves

Modular forms (cites work)
cites work: Indefinite Quadratische Formen und Eulerprodukte

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

Modular forms (cites work)
cites work: Über ein Analogon zur Vermutung von Saito-Kurokawa. (On an analogue to the Saito-Kurokawa conjection)

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

Modular forms (cites work)
cites work: Modular Forms from Codes

Modular forms (cites work)
cites work: Q4180434

Modular forms (cites work)
cites work: On the arithmetic of special values of L functions

Modular forms (cites work)
cites work: Q4129569

Modular forms (cites work)
cites work: Q3852277

Modular forms (cites work)
cites work: Q4143396

Modular forms (cites work)
cites work: Q4143395

Modular forms (cites work)
cites work: p-Adic properties of Siegel modular forms of degree 2

Modular forms (cites work)
cites work: On Shimura’s trace formula

Modular forms (cites work)
cites work: Q4195047

Modular forms (cites work)
cites work: Q4134181

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

Modular forms (cites work)
cites work: A cubic analogue of the theta series.

Modular forms (cites work)
cites work: Q3856833

Modular forms (cites work)
cites work: An algorithm for computing modular forms on \(\Gamma_0(N)\)

Modular forms (cites work)
cites work: Q4195025

Modular forms (cites work)
cites work: Automorphic Forms Constructed from the Weil Representation: Holomorphic Case

Modular forms (cites work)
cites work: Q4154638

Modular forms (cites work)
cites work: Q4132607

Modular forms (cites work)
cites work: Q3237360

Modular forms (cites work)
cites work: Modular Forms for Γ 0 (N) and Dirichlet Series

Modular forms (cites work)
cites work: Q4141904

Modular forms (cites work)
cites work: Q4137253

Modular forms (cites work)
cites work: Congruences entre séries d'Eisenstein, dans le cas supersingulier

Modular forms (cites work)
cites work: Categories tannakiennes

Modular forms (cites work)
cites work: Trace formula of certain Hecke operators for Γ0(qν)

Modular forms (cites work)
cites work: Die Dimensionen der Räume automorpher Formen zu Modulgruppen in Quaternionenschiefkörpern über reellquadratischen Zahlkörpern

Modular forms (cites work)
cites work: Q4175663

Modular forms (cites work)
cites work: Construction of arithmetic automorphic functions for special Clifford groups

Modular forms (cites work)
cites work: Q4132609

Modular forms (cites work)
cites work: Automorphic forms and the periods of abelian varieties

Modular forms (cites work)
cites work: On certain reciprocity-laws for theta functions and modular forms

Modular forms (cites work)
cites work: On modular forms of half integral weight

Modular forms (cites work)
cites work: On some arithmetic properties of modular forms of one and several variables

Modular forms (cites work)
cites work: On the periods of modular forms

Modular forms (cites work)
cites work: The arithmetic of automorphic forms with respect to a unitary group

Modular forms (cites work)
cites work: The arithmetic of certain zeta functions and automorphic forms on orthogonal groups

Modular forms (cites work)
cites work: The special values of the zeta functions associated with cusp forms

Modular forms (cites work)
cites work: The special values of the zeta functions associated with Hilbert modular forms

Modular forms (cites work)
cites work: Q4138810

Modular forms (cites work)
cites work: Q4119293

Modular forms (cites work)
cites work: Q4137275

Modular forms (cites work)
cites work: Q4137272

Modular forms (cites work)
cites work: L-functions for Gl(n)

Modular forms (cites work)
cites work: Weil type representations and automorphic forms

Modular forms (cites work)
cites work: Finite Groups and Modular Functions

Modular forms (cites work)
cites work: Constructions of modular forms by means of transformation formulas for theta series

Modular forms (cites work)
cites work: On the local Langlands conjecture for GL(2)

Modular forms (cites work)
cites work: Q4149531

Modular forms (cites work)
cites work: Engendrement par des séries theta de certains espaces de formes modulaires

Modular forms (cites work)
cites work: Formes quadratiques à 4 variables et relèvement

Modular forms (cites work)
cites work: Dirichlet series and automorphic forms

Modular forms (cites work)
cites work: Q4079943

Modular forms (cites work)
cites work: Sur les Périodes des Intégrales Abéliennes

Modular forms (cites work)
cites work: Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen

Modular forms (cites work)
cites work: On an explicit construction of Siegel modular forms of genus 2

Modular forms (cites work)
cites work: Siegel's modular forms and the arithmetic of quadratic forms

Modular forms (cites work)
cites work: Q4149801

Modular forms (cites work)
cites work: Modular forms associated to real quadratic fields

Modular forms (full work available at URL)
full work available at URL: https://doi.org/10.1007/bf01090176

Modular forms (OpenAlex ID)
OpenAlex ID: W4211214158