On Hecke polynomials

DOI10.1007/BF01418784zbMath0219.14014WikidataQ105611632 ScholiaQ105611632MaRDI QIDQ2546924

Bernard M. Dwork

Publication date: 1971

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142077

Mathematics Subject Classification ID

Elliptic curves (14H52) Finite ground fields in algebraic geometry (14G15) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items

Canonical subgroups and p-adic vanishing cycles for abelian varieties, Logarithmic decay and overconvergence of the unit root and associated zeta functions, \(p\)-adic Banach spaces and families of modular forms, \(L\)-functions of symmetric powers of Kloosterman sums (unit root \(L\)-functions and \(p\)-adic estimates), Une introduction naïve aux cohomologies de Dwork, Hasse-Witt matrices, unit roots and period integrals, \(L\)-functions associated with families of toric exponential sums, Applications of the theory of modular forms to number theory, On some p-adic properties of the eichler-selberg trace formula, L-functions of p-adic characters and geometric Iwasawa theory, L-FUNCTIONS OF SYMMETRIC POWERS OF THE GENERALIZED AIRY FAMILY OF EXPONENTIAL SUMS, Modular forms and de Rham cohomology; Atkin-Swinnerton-Dyer congruences

Cites Work

• Unnamed Item
• \(p\)-adic cycles
• On the zeta function of a hypersurface. I
• Hecke polynomials as congruence \(\zeta\) functions in elliptic modular case
• Hecke polynomials of modular groups and congruence zeta functions of fibre varieties
• Formal cohomology. III: Fixed point theorems
• Normalized period matrices. I: Plane curves
• On the Rationality of the Zeta Function of an Algebraic Variety
• A p-adic Fixed Point Formula