Keywords: سری آیزنشتاین; primary; 11F12; 11M99; secondary; 81Q50; Automorphic forms; Eisenstein series; Equidistribution; L4-norm; Regularized inner products; Quantum chaos; Random wave conjecture; L-functions;
مقالات ISI سری آیزنشتاین (ترجمه نشده)
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Keywords: سری آیزنشتاین; primary; 11F37; secondary; 11E25; 11F25; Representations by quadratic forms; Eisenstein series; Fricke involution; Hecke operators; Modular forms;
Keywords: سری آیزنشتاین; primary; 30C15; 11B83; 41A60; secondary; 11M36; 34K06; Deformed exponential function; Asymptotic expansion; Eisenstein series; Bernoulli numbers;
Keywords: سری آیزنشتاین; 11B68; 11C20; 11M06; Bernoulli number; Bernoulli polynomial; Riemann zeta function; Euler number; Euler polynomial; Alternating zeta function; Double zeta values; Hurwitz zeta function; Lerch zeta function; Polygamma function; Ramanujan polynomial; Bernou
Keywords: سری آیزنشتاین; Superstrings; Duality; Modular forms; Eisenstein series; Modular graph functions; Polylogarithms;
Keywords: سری آیزنشتاین; 11F11Polynomial relations; Eigenform; Eisenstein series; Hecke relations
Keywords: سری آیزنشتاین; 11F11; 11F20; 11M36; 33D15Dedekind eta-function; Theta-functions; Eisenstein series; Bilateral basic hypergeometric series
Keywords: سری آیزنشتاین; Discriminants; Theta function; Eisenstein series; Multiple Dirichlet series; Binary quadratic forms; Spectral theory; Asymptotics;
Keywords: سری آیزنشتاین; Eisenstein series; Meromorphic continuation; Wave distribution;
Keywords: سری آیزنشتاین; Eisenstein series; Hypergeometric function; Hypergeometric transformation; Pi; Sum of squares
Keywords: سری آیزنشتاین; Dedekind eta function; Eisenstein series; Hypergeometric function; Modular form; Pi; Ramanujan’s theories of elliptic functions to alternative bases
Keywords: سری آیزنشتاین; Feynman graph; Variation of mixed hodge structures; Motives; Elliptic dilogarithm; Eisenstein series
Keywords: سری آیزنشتاین; 33E05; 14H42; 11M36; 11A55Elliptic function; Theta function; Eisenstein series; Rogers–Ramanujan's continued fraction
Keywords: سری آیزنشتاین; 11M32; 11M35; 11M36; 05M05; 33E20Multizeta values; Hurwitz multizeta values; Eisenstein series; Multitangents functions; Reduction into monotangents; Quasi-symmetric functions; Mould calculus
Keywords: سری آیزنشتاین; Special cubic fourfolds; Modular form; Heegner divisors; Eisenstein series;
Keywords: سری آیزنشتاین; 11E08; 11E45Siegel series; Eisenstein series; Prehomogeneous vector space
Keywords: سری آیزنشتاین; primary, 11F52; secondary, 20C20, 20G40, 11E57Drinfeld modular forms; Eisenstein series; Modular representations
Representations by sextenary quadratic forms with coefficients 1,2,3 and 6 and on newforms in S3(Î0(24),Ï)
Keywords: سری آیزنشتاین; 11F11; 11F20; 11F27; 11E20; 11E25; 11F30; Dedekind eta function; eta quotients; eta products; theta functions; Eisenstein series; Eisenstein forms; Modular forms; Cusp forms; Fourier coefficients; Fourier series;
Series for 1/Ï of level 20
Keywords: سری آیزنشتاین; 11F03; 11F11; 11F27; Dedekind eta function; Eisenstein series; Modular form; Pi;
Extensions of Ramanujan-Mordell formula with coefficients 1 and p
Keywords: سری آیزنشتاین; Eisenstein series; Cusp forms; Modular forms; Fourier coefficients; Ramanujan-Mordell formula; Sum of divisors function;
Eisenstein series for the Weil representation
Keywords: سری آیزنشتاین; Holomorphic modular forms of integral and half-integral weight; Eisenstein series; Fourier coefficients; Vector valued modular forms; Weil representation;
Zeros of newform Eisenstein series on Î0(N)
Keywords: سری آیزنشتاین; Modular forms; Eisenstein series; Newform Eisenstein series;
Elliptic double zeta values
Keywords: سری آیزنشتاین; 11M32; 11F50; Elliptic multiple zeta values; Iterated integrals; Elliptic polylogarithms; Elliptic associators; Eisenstein series; Theta functions;
Hypergeometric-like series for 1/π21/π2 arising from Ramanujan’s quartic theory of elliptic functions
Keywords: سری آیزنشتاین; primary, 33C05, 11M36; secondary, 14K25, 11F03Ramanujan’s theta functions; Modular equations; Hypergeometric functions; Eisenstein series
Generalized Eisenstein functions
Keywords: سری آیزنشتاین; Eisenstein series; Natanzon series; Lattice sums; Elliptic functions; Doubly periodic structure; Square and hexagonal lattice
Level 16 analogue of Ramanujan's theories of elliptic functions to alternative bases
Keywords: سری آیزنشتاین; primary, 11F11, 11F20Dedekind's eta function; Eisenstein series; Modular equation; Ramanujan's theories of elliptic functions to alternative bases; Theta functions
Arithmetic of Eisenstein series of level T for the function field modular group GL(2,Fq[T])GL(2,Fq[T])
Keywords: سری آیزنشتاین; 11F52Drinfeld modular forms; Eisenstein series; Basis problem
The quantum unique ergodicity conjecture for thin sets
Keywords: سری آیزنشتاین; Quantum unique ergodicity; Eisenstein series; Equidistribution; Riemann zeta function;
On p-adic analogue of Weil's elliptic functions according to Eisenstein
Keywords: سری آیزنشتاین; 11F33; Elliptic function; p-Adic modular form; Eisenstein series;
Metaplectic theta functions and global integrals
Keywords: سری آیزنشتاین; primary, 11F70; secondary, 11F27, 11F37, 11F55Metaplectic group; Theta representation; Shalika subgroup; Eisenstein series
Distribution of cusp sections in the Hilbert modular orbifold
Keywords: سری آیزنشتاین; Hilbert modular orbifold; Eisenstein series; Dedekind zeta function
Small representations, string instantons, and Fourier modes of Eisenstein series
Keywords: سری آیزنشتاین; Automorphic forms; Scattering amplitudes; String theory; Small representations; Eisenstein series; Fourier expansions; Unipotent representations; Charge lattice; BPS states; Coadjoint nilpotent orbits
Zeros of the weight two Eisenstein series
Keywords: سری آیزنشتاین; Modular forms; Eisenstein series; Zeros
Zhang–Kawazumi invariants and superstring amplitudes
Keywords: سری آیزنشتاین; Duality; Superstring; Modular invariant; Genus two; Faltings invariant; Eisenstein series
A theory of theta functions to the quintic base
Keywords: سری آیزنشتاین; Quintic theta functions; Rogers–Ramanujan series; Eisenstein series; Partitions; Differential equations
Evaluation of a certain combinatorial convolution sum in higher level cases
Keywords: سری آیزنشتاین; Divisor functions; Convolution sums; Combinatorial convolution sums; Eisenstein series;
Transition mean values of shifted convolution sums
Keywords: سری آیزنشتاین; Shifted convolution sums; Modular forms; Eisenstein series; Multiple Dirichlet series
A theta function identity of degree eight and Eisenstein series identities
Keywords: سری آیزنشتاین; 11F11; 11F20; 11F27; 11F30; 30D15; 33E05; Elliptic function; Theta function; Eisenstein series; Entire function; Addition formula; Septuple product identity;
The action of Hecke operators to families of Weierstrass-type functions and Weber-type functions and their applications
Keywords: سری آیزنشتاین; Generalized Dedekind eta functions; Eisenstein series; Theta functions; Hecke operators; Weierstrass type functions; Weber functions; Bernoulli numbers; Riemann zeta function
Eisenstein series and elliptic functions on Î0(10)
Keywords: سری آیزنشتاین; primary; 11F11; secondary; 33E05; Dedekindʼs eta-function; Eisenstein series; Elliptic function; Modular form; Ramanujanʼs second notebook; Theta function;
A unified presentation of identities involving Weierstrass-type functions and their applications
Keywords: سری آیزنشتاین; Bernoulli numbers; Weierstrass ℘℘-function; Weierstrass-type functions; Euler’s identity; Zeta function; Eisenstein series
Some identities involving theta functions
Keywords: سری آیزنشتاین; 11F27; 11E25; 11B68Theta function identities; Sums of squares; Eisenstein series
Evaluation of the convolution sums ∑l+6m=nσ(l)σ(m)∑l+6m=nσ(l)σ(m) and ∑2l+3m=nσ(l)σ(m)∑2l+3m=nσ(l)σ(m)
Keywords: سری آیزنشتاین; 11A25; 11E20; 11E25Divisor sums; Convolution sums; Eisenstein series
Products of Hecke eigenforms
Keywords: سری آیزنشتاین; Modular form; Hecke eigenform; Eisenstein series; Fricke involution;
A three-term theta function identity and its applications
Keywords: سری آیزنشتاین; 11F11; 11F12; 11F27; 33E05; Elliptic functions; Theta function identities; Quintuple identity; Eisenstein series;