Kummer, Eisenstein, and Higher Reciprocity Laws

1982 ◽  
pp. 31-43 ◽  
Author(s):  
Harold M. Edwards
Keyword(s):  
Reciprocity Laws

scholarly journals On the Bloch–Kato conjecture for Hilbert modular forms

2021 ◽  
Author(s):  
Matteo Tamiozzo
Keyword(s):  
Modular Forms ◽  
Automorphic Forms ◽  
Euler System ◽  
Central Point ◽  
Shimura Curves ◽  
Hilbert Modular Forms ◽  
Reciprocity Laws ◽  
Hilbert Modular ◽  
Special Points

AbstractThe aim of this paper is to prove inequalities towards instances of the Bloch–Kato conjecture for Hilbert modular forms of parallel weight two, when the order of vanishing of the L-function at the central point is zero or one. We achieve this implementing an inductive Euler system argument which relies on explicit reciprocity laws for cohomology classes constructed using congruences of automorphic forms and special points on several Shimura curves.

Generalized sums for characters and their application to reciprocity laws

1972 ◽  
Vol 23 (2) ◽  
pp. 235-240 ◽  
Author(s):  
I. V. Reshetukha
Keyword(s):  
Reciprocity Laws

A Note on Semilocal Reciprocity Laws on Curves

2006 ◽  
Vol 34 (1) ◽  
pp. 171-188
Author(s):  
Yolanda África Zárate Herrera
Keyword(s):  
Reciprocity Laws

scholarly journals Generalizations of Dedekind sums and their reciprocity laws

2003 ◽  
Vol 106 (4) ◽  
pp. 355-378 ◽  
Author(s):  
Yumiko Nagasaka ◽  
Kaori Ota ◽  
Chizuru Sekine
Keyword(s):  
Dedekind Sums ◽  
Reciprocity Laws

scholarly journals Rankin–Eisenstein classes and explicit reciprocity laws

2017 ◽  
Vol 5 (1) ◽  
pp. 1-122 ◽  
Author(s):  
Guido Kings ◽  
David Loeffler ◽  
Sarah Livia Zerbes
Keyword(s):  
Reciprocity Laws

scholarly journals Biquadratic reciprocity laws

1973 ◽  
Vol 37 (2) ◽  
pp. 374-374 ◽  
Author(s):  
Ezra Brown
Keyword(s):  
Reciprocity Laws

Rational Reciprocity Laws

1978 ◽  
Vol 85 (6) ◽  
pp. 467-472 ◽  
Author(s):  
Emma Lehmer
Keyword(s):  
Reciprocity Laws
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