On p -adic analogues of the conjectures of Birch and Swinnerton-Dyer (original) (raw)

The p-adic L-functions of modular elliptic curves

Henri Darmon

… Unlimited–2001 and Beyond, Engquist, Schmid, …, 2001

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p -adic Rankin L -series and rational points on CM elliptic curves

Kartik Prasanna, Massimo Bertolini, Henri Darmon

Pacific Journal of Mathematics, 2012

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p-adic L-functions of a specified modulus

Kevin Powell

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Heegner points, p -adic L -functions, and the Cerednik-Drinfeld uniformization

Henri Darmon

Inventiones Mathematicae, 1998

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$p$-adic interpolation of special values of Hecke L-functions

Leila Schneps

1992

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p-adic L-functions and Euler systems: a tale in two trilogies

Henri Darmon

Automorphic Forms and Galois Representations

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A note on p-adic L-functions

Lawrence Washington

Journal of Number Theory, 1976

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On the μ-invariant of p-adic L-functions attached to elliptic curves with complex multiplication

Leila Schneps

Journal of Number Theory, 1987

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p-adicL-functions andp-adic periods of modular forms

Ralph Greenberg

Inventiones Mathematicae, 1993

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N T ] 3 0 N ov 2 00 6 Further Remarks on Multiple p-adic qL-Function of Two Variables ∗

Yilmaz Simsek

2006

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($p$-adic) LLL-functions and ($p$-adic) (multiple) zeta values

Nikolaj Glazunov

arXiv: Number Theory, 2019

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Kato's Euler system and rational points on ELLIPTIC CURVES I: A p-ADIC BEILINSON FORMULA

Henri Darmon

2014

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Two p-adic L-functions and rational points on elliptic curves with supersingular reduction

Masato Kurihara

L-Functions and Galois Representations

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p-adic L-functions for GLn

Debargha Banerjee

p-Adic Aspects of Modular Forms, 2016

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KATO’S EULER SYSTEM AND RATIONAL POINTS ON ELLIPTIC CURVES I: A p-ADIC BEILINSON FORMULA

Henri Darmon

2012

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Further Remarks on Multiple p-adic q-L-Function of Two Variables ∗

Yilmaz Simsek

2006

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p-Adic gamma function and the trace of Frobenius of elliptic curves

Neelam Saikia

2014

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On `-Adic Galois L-Functions

Zdzislaw Wojtkowiak

2015

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31 p-adic L-functions for modular forms

Shai Haran

2019

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p-adic Gamma function and the polynomialsxd+ax+bandxd+axd−1+boverFq

Rupam Barman

Finite Fields and Their Applications, 2014

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On l-adic Galois L-functions

Zdzislaw Wojtkowiak

2014

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p-adic measures and square roots of special values of triple product L-functions

Jacques Tilouine

Mathematische Annalen, 2001

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L -functions and Galois Representations: Stark–Heegner points and special values of L -series

Henri Darmon

2007

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On p-adic twisted Euler (h,q)-l-function

Yilmaz Simsek

2007

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On p-adic L-functions and cyclotomic fields. II

Ralph Greenberg

Nagoya Mathematical Journal, 1977

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$p$ -adic uniformization of Shimura curves

Henri Darmon

Duke Mathematical Journal, 1999

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A family of p-adic twisted interpolation functions associated with the modified Bernoulli numbers

Yilmaz Simsek

Applied Mathematics and Computation, 2010

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A Study on Novel Extensions for the p-adic Gamma and p-adic Beta Functions

UĞUR DURAN

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Multiple two-variable p-adic q-L-function and its behavior at s = 0

Yilmaz Simsek

Russian Journal of Mathematical Physics, 2008

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Teitelbaum's exceptional zero conjecture in the anticyclotomic setting

Michael Spiess, Massimo Bertolini, Henri Darmon

American Journal of Mathematics, 2002

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On p-adic gamma function related to q-Daehee polynomials and numbers

Mehmet AÇIKGÖZ

Proyecciones (Antofagasta), 2019

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p-adic interpolation function related to multiple generalized Genocchi numbers

Serkan Araci

arXiv preprint arXiv:1301.4367, 2013

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p-Adic Analysis with q-Analysis and Its Applications

Abdelmejid Bayad

International Journal of Mathematics and Mathematical Sciences, 2012

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A note on the p-adic interpolation function related to multiple generalized Genocchi numbers

Serkan Araci

Turkish Journal of Analysis and Number Theory 1, no. 1 (2013): 17-22. doi: 10.12691/tjant-1-1-5.

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On p-adic L-functions and cyclotomic fields

Ralph Greenberg

Nagoya Mathematical Journal, 1975

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