scientific article

zbMath1118.14043arXivmath/0402386MaRDI QIDQ3438273

Wadim Zudilin, Gert Almkvist

Publication date: 15 May 2007

Full work available at URL: https://arxiv.org/abs/math/0402386

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Hadamard productLambert seriessupercongruenceCalabi-Yau equationbinomial suminstanton numbermaximal unipotent monodromyrecurence relation

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Generalized hypergeometric series, ({}_pF_q) (33C20) Special sequences and polynomials (11B83) Monodromy; relations with differential equations and (D)-modules (complex-analytic aspects) (32S40) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25) Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical) of ordinary differential equations in the complex domain (34M15)

Related Items (31)

Calabi-Yau 3-folds from projective joins of del Pezzo manifolds ⋮ Divisibility properties of sporadic Apéry-like numbers ⋮ On the integrality of the Taylor coefficients of mirror maps ⋮ The ratio log-concavity of the Cohen numbers ⋮ Proof of some conjectural congruences modulo p³ ⋮ Calabi–Yau Conifold Expansions ⋮ Generalized Lucas congruences and linear \(p\)-schemes ⋮ The geometry of gauged linear sigma model correlation functions ⋮ Minuscule Schubert varieties and mirror symmetry ⋮ Arithmetic properties of Apéry-like numbers ⋮ New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences ⋮ The asymptotic log-convexity of Apéry-like numbers ⋮ Bananas of equal mass: any loop, any order in the dimensional regularisation parameter ⋮ Gessel-Lucas congruences for sporadic sequences ⋮ Calabi-Yau operators of degree two ⋮ Eisenstein type series for Calabi-Yau varieties ⋮ Quadratic transformations and Guillera's formulas for \(1/\pi^2\) ⋮ CY-operators and $L$-functions ⋮ Ramanujan-like Series for 1/π²and String Theory ⋮ Unnamed Item ⋮ On two supercongruences for sums of Apéry-like numbers ⋮ GLSMs, joins, and nonperturbatively-realized geometries ⋮ Apéry-like numbers and families of newforms with complex multiplication ⋮ q-Congruences, with applications to supercongruences and the cyclic sieving phenomenon ⋮ Ramanujan–Sato-Like Series ⋮ Smoothing Calabi–Yau toric hypersurfaces using the Gross–Siebert algorithm ⋮ Zinger functions and Yukawa couplings ⋮ On two supercongruences involving Almkvist-Zudilin sequences ⋮ Analytic periods via twisted symmetric squares ⋮ Congruences for certain families of Apéry-like sequences ⋮ Ramanujan-type supercongruences involving Almkvist-Zudilin numbers

This page was built for publication: