Vinayak Vatsal

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All published works

Action	Title	Year	Authors
+	Toric Periods and 𝑝-adic Families of Modular Forms of Half-Integral Weight	2023	Vinayak Vatsal
+ PDF Chat	Iwasawa invariants for symmetric square representations	2023	Anwesh Ray R. Sujatha Vinayak Vatsal
+ PDF Chat	Iwasawa theory for Artin representations I	2021	Ralph Greenberg Vinayak Vatsal
+ PDF Chat	On the L‐invariant of the adjoint of a weight one modular form	2021	Martí Roset Víctor Rotger Vinayak Vatsal
+	Iwasawa Invariants for Symmetric Square Representations	2021	Anwesh Ray R. Sujatha Vinayak Vatsal
+	Test vectors for some ramified representations	2018	Vinayak Vatsal
+	Adjoint L-Functions, Period Integrals, and A Converse theorem for SL 2	2017	Vinayak Vatsal
+	Modular symbols, Eisenstein series, and congruences	2014	Jay Heumann Vinayak Vatsal
+ PDF Chat	Modular symbols, Eisenstein series, and congruences	2014	Jay Heumann Vinayak Vatsal
+	Integral periods for modular forms	2013	Vinayak Vatsal
+	On local Galois representations associated to ordinary Hilbert modular forms	2013	Baskar Balasubramanyam Eknath Ghate Vinayak Vatsal
+ PDF Chat	Complex multiplication: A concise introduction	2011	Vinayak Vatsal
+ PDF Chat	Locally Indecomposable Galois Representations	2010	Eknath Ghate Vinayak Vatsal
+ PDF Chat	Nontriviality of Rankin-Selberg <i>L</i>-functions and CM points	2007	Christophe Cornut Vinayak Vatsal
+ PDF Chat	Special values of <em>L</em>-functions modulo <var>p</var>	2007	Vinayak Vatsal
+ PDF Chat	MULTIPLICATIVE SUBGROUPS OF J 0(N) AND APPLICATIONS TO ELLIPTIC CURVES	2005	Vinayak Vatsal
+ PDF Chat	CM points and quaternion algebras	2005	Christophe Cornut Vinayak Vatsal
+ PDF Chat	Ternary Diophantine equations of signature (<i>p</i>, <i>p</i>, 3)	2004	Michael A. Bennett Vinayak Vatsal Soroosh Yazdani
+ PDF Chat	Special Value Formulae for Rankin <i>L</i>-Functions	2004	Vinayak Vatsal
+ PDF Chat	On the local behaviour of ordinary $\Lambda$-adic representations	2004	Eknath Ghate Vinayak Vatsal
+	Special values of anticyclotomic $L$-functions	2003	Vinayak Vatsal
+ PDF Chat	Deformations of induced Galois representations	2003	S. Cho Vinayak Vatsal
+ PDF Chat	Uniform distribution of Heegner points	2002	Vinayak Vatsal
+ PDF Chat	On the Iwasawa invariants of elliptic curves	2000	Ralph Greenberg Vinayak Vatsal
+	Canonical periods and congruence formulae	1999	Vinayak Vatsal
+	Congruence Properties of Values of L-Functions and Applications	1999	Jan Hendrik Bruinier Kevin James Winfried Kohnen Ken Ono Christopher Skinner Vinayak Vatsal
+ PDF Chat	Rank-one twists of a certain elliptic curve	1998	Vinayak Vatsal
+	Iwasawa theory, modular forms, and Artin representations	1997	Vinayak Vatsal

Common Coauthors

Coauthor	Papers Together
Eknath Ghate	3
Anwesh Ray	2
Ralph Greenberg	2
Jay Heumann	2
Christophe Cornut	2
Kevin James	1
R. Sujatha	1
S. Cho	1
Winfried Kohnen	1
Martí Roset	1
Jan Hendrik Bruinier	1
Ken Ono	1
Víctor Rotger	1
Michael A. Bennett	1
Soroosh Yazdani	1
Baskar Balasubramanyam	1
R. Sujatha	1
Christopher Skinner	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On ordinary ?-adic representations associated to modular forms	1988	Andrew Wiles	8
+	Galois representations into GL2 (Z p [[X]]) attached to ordinary cusp forms	1986	Haruzo Hida	8
+	Canonical periods and congruence formulae	1999	Vinayak Vatsal	8
+	Modular Elliptic Curves and Fermat's Last Theorem	1995	Andrew Wiles	7
+	Arithmetic on Modular Curves	1982	Glenn Stevens	5
+	The non-p-part of the class number in a cyclotomic ? p -extension	1978	Lawrence C. Washington	5
+ PDF Chat	Uniform distribution of Heegner points	2002	Vinayak Vatsal	5
+	p-adicL-functions andp-adic periods of modular forms	1993	Ralph Greenberg Glenn Stevens	5
+	Iwasawa Theory for $p$-adic Representations	2018	Ralph Greenberg	5
+	Mazur’s conjecture on higher Heegner points	2002	Christophe Cornut	5
+	Elementary Theory of L-functions and Eisenstein Series	1993	Haruzo Hida	5
+	Introduction to Cyclotomic Fields	1982	Lawrence C. Washington	4
+	Gross-Zagier Formula for GL(2), II	2004	Shou-Wu Zhang	4
+	Raghunathan’s conjectures for Cartesian products of real and 𝔭-adic Lie groups	1995	Marina Ratner	4
+	Local Orders, Root Numbers, and Modular Curves	1988	Benedict H. Gross	4
+ PDF Chat	The cuspidal group and special values of 𝐿-functions	1985	Glenn Stevens	4
+	Test vectors for linear forms	1991	Benedict H. Gross Dipendra Prasad	4
+	Onp-adic analogues of the conjectures of Birch and Swinnerton-Dyer	1986	Barry Mazur John Tate Jeremy Teitelbaum	4
+	On some results of Atkin and Lehner	1973	W. Casselman	4
+ PDF Chat	Arithmétique des Algèbres de Quaternions	1980	Marie-France Vignéras	3
+	Heegner Points and Representation Theory	2004	Benedict H. Gross	3
+ PDF Chat	Gross–Zagier formula for $\mathrm{GL}_2$	2001	Shou-Wu Zhang	3
+	Conjectures on elliptic curves over quadratic fields	1979	Dorian Goldfeld	3
+ PDF Chat	L-series with nonzero central critical value	1998	Kevin James	3
+	Iwasawa theory of elliptic curves with complex multiplication : p-adic L functions	1987	Ehud de Shalit	3
+ PDF Chat	Nontriviality of Rankin-Selberg <i>L</i>-functions and CM points	2007	Christophe Cornut Vinayak Vatsal	3
+	On Modular Forms of Half Integral Weight	1973	Goro Shimura	3
+	Heegner points and derivatives ofL-series	1986	Benedict H. Gross Don Zagier	3
+ PDF Chat	On the Iwasawa invariants of elliptic curves	2000	Ralph Greenberg Vinayak Vatsal	3
+	Algorithms for Modular Elliptic Curves	1992	J. E. Cremona	3
+	Rational isogenies of prime degree	1978	Barry Mazur Dorian Goldfeld	3
+	A Rigid Analytic Gross-Zagier Formula and Arithmetic Applications	1997	Massimo Bertolini Henri Darmon	3
+	On $p$-adic analytic families of Galois representations	1986	Barry Mazur Andrew Wiles	3
+	OnL-functions of elliptic curves and cyclotomic towers	1984	David E. Rohrlich	3
+	Special values of anticyclotomic $L$-functions	2003	Vinayak Vatsal	3
+ PDF Chat	Subvarieties of Shimura varieties	2003	Bas Edixhoven Andrei Yafaev	3
+	On the arithmetic of special values ofL functions	1979	Barry Mazur	3
+ PDF Chat	Heegner points on Mumford-Tate curves	1996	Massimo Bertolini Henri Darmon	3
+	Stickelberger elements and modular parametrizations of elliptic curves	1989	Glenn Stevens	3
+	Modular forms in characteristic ℓ and special values of their L -functions	1986	Avner Ash Glenn Stevens	3
+	On the density of discriminants of cubic fields. II	1971	H. Davenport H. Heilbronn	3
+ PDF Chat	Modular curves and the eisenstein ideal	1977	Barry Mazur	2
+	Groupes algébriques et corps de classes	1997	Jean Pierre Serre	2
+	Correspondances de Shimura et quaternions	1991	Jean-Loup Waldspurger	2
+	Special points on products of modular curves	2005	Bas Edixhoven	2
+ PDF Chat	Iwasawa modules attached to congruences of cusp forms	1986	Haruzo Hida	2
+ PDF Chat	On<i>p</i>-adic<i>L</i>-functions and cyclotomic fields. II	1977	Ralph Greenberg	2
+ PDF Chat	On the factors of the jacobian variety of a modular function field	1973	Goro Shimura	2
+	Abelian l-Adic Representations and Elliptic Curves	1997	Jean-Pierre Serre	2
+ PDF Chat	On the two-variable Iwasawa main conjecture	2006	Tadashi Ochiai	2