On the \(p\)-adic \(L\)-function of Hilbert modular forms at supersingular primes

DOI10.1016/J.JNT.2010.09.005zbMath1219.11135OpenAlexW2075344306MaRDI QIDQ626830

Bei Zhang

Publication date: 18 February 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.09.005

zbMATH Keywords

\(p\)-adic \(L\)-functionIwasawa main conjectureHilbert modular formsupersingular prime\(h\)-admissible measureelliptic curves plus/minus \(p\)-adic \(L\)-functionhalf-logarithm

Mathematics Subject Classification ID

Iwasawa theory (11R23) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (1)

Bounded \(p\)-adic \(L\)-functions of motives at supersingular primes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(p\)-adic \(L\)-functions for CM fields
• Nonvanishing of \(L\)-functions for \(\mathrm{GL}(2)\)
• Non-Archimedean L-functions of Siegel and Hilbert modular forms
• The special values of the zeta functions associated with Hilbert modular forms
• Motives over totally real fields and \(p\)-adic \(L\)-functions
• \(p\)-adic \(L\)-functions of Hilbert modular forms
• \(p\)-adic interpolation of convolutions of Hilbert modular forms
• Iwasawa theory for elliptic curves at supersingular primes
• On the \(p\)-adic \(L\)-function of a modular form at a supersingular prime
• Arithmetic of Weil curves
• The main conjecture for CM elliptic curves at supersingular primes
• On \(p\)-adic L-functions of \(GL(2)\times GL(2)\) over totally real fields
• Rational points of Abelian varieties with values in towers of number fields
• The main conjecture of Iwasawa theory for elliptic curves with complex multiplication over abelian extensions at supersingular primes
• The special values of the zeta functions associated with cusp forms
• NON-ARCHIMEDEAN INTEGRATION AND JACQUET-LANGLANDSp-ADICL-FUNCTIONS

This page was built for publication: On the \(p\)-adic \(L\)-function of Hilbert modular forms at supersingular primes