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Intersection triangles and block intersection numbers of Steiner systems,” Math. Z. 139 (June 1974), pp. 87–104. MR 357146 Zbl 0276.05018 article

: “
Arithmetic on elliptic curves with complex multiplication.
Ph.D. thesis,
Harvard University,
1978.
Advised by J. Tate, Jr.
A version of this was published in two parts: part I as a monograph in 1980; part II in *Invent. Math.* **79** (1985).
MR
2940819
phdthesis

On the periods of abelian integrals and a formula of Chowla and Selberg,” Invent. Math. 45 : 2 (1978), pp. 193–211. With an appendix by David E. Rohrlich. MR 480542 Zbl 0418.14023 article

: “Some results on the Mordell–Weil group of the Jacobian of the Fermat curve,” Invent. Math. 44 : 3 (1978), pp. 201–224. MR 491708 Zbl 0369.14011 article

: “
Gauss sums and the __\( p \)__-adic __\( \Gamma \)__-function,”
Ann. Math. (2)
109 : 3
(May 1979),
pp. 569–581.
MR
534763
Zbl
0406.12010
article

On an identity of Chowla and Selberg,” pp. 344–348 in S. Chowla anniversary issue, published as J. Number Theory 11 : 3. Issue edited by R. P. Bambah. Academic Press (San Diego, CA), August 1979. MR 544262 Zbl 0418.14024 incollection

: “
Ramification in __\( p \)__-adic Lie extensions,”
pp. 81–102
in
Journées de géométrie algébrique de Rennes: Groupes formels, représentations galoisiennes et cohomologie des variétés de caractéristique positive, III
[Algebraic geometry proceedings from Rennes: Formal groups, Galois representations and the cohomology of varieties of positive characteristic, III]
(Rennes, France, July 1978).
Edited by P. Berthelot and L. Breen.
Astérisque 65.
Société Mathématique de France (Paris),
1979.
MR
563473
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0423.14030
incollection

Arithmetic on elliptic curves with complex multiplication. Lecture Notes in Mathematics 776. Springer (Cham, Switzerland), 1980. With an appendix by B. Mazur. MR 563921 Zbl 0433.14032 book

:
On the factorization of __\( p \)__-adic __\( L \)__-series,”
Invent. Math.
57 : 1
(1980),
pp. 83–95.
MR
564185
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0472.12011
article

On the critical values of Hecke __\( L \)__-series,”
Mém. Soc. Math. France (N.S.)
2
(1980),
pp. 49–54.
MR
608638
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0462.14015
article

Regulators and Iwasawa modules,” Invent. Math. 62 : 3 (1981), pp. 443–457. With an appendix by Warren Sinnott. MR 604838 Zbl 0468.12005 article

: “Real algebraic curves,” Ann. Sci. École Norm. Sup. (4) 14 : 2 (1981), pp. 157–182. MR 631748 Zbl 0533.14011 article

: “
__\( p \)__-adic __\( L \)__-series at __\( s = 0 \)__,”
J. Fac. Sci. Univ. Tokyo Sect. IA Math.
28 : 3
(1981),
pp. 979–994.
To the memory of Takuro Shintani.
MR
656068
Zbl
0507.12010
article

The annihilation of divisor classes in Abelian extensions of the rational function field” in Séminaire de Théorie des Nombres, 1981–1982 (Bordeaux, France, 1980–1981). Edited by M. J. Bertin. Séminaire de Théorie des Nombres, Université Bordeaux I. Université Bordeaux, 1981. Exposé no. 3, 5 pages. Zbl 0507.14020 incollection

: “Topological invariants of real algebraic curves” (Grenoble, France, January 1981). Séminaire de Théorie des Nombres de Grenoble 9: 1980–1981. Université Scientifique et Médicale de Grenoble, 1981. Exposé no. 2, 2 pages. Zbl 0508.14022 incollection

: “Algebraic Hecke characters for function fields,” pp. 87–90 in Theorie des nombres: Seminaire Delange–Pisot–Poitou (Paris, 1980–1981). Progress in Mathematics 22. Birkhäuser (Cham, Switzerland), 1982. MR 693312 Zbl 0512.12012 incollection

: “
Heegner points on __\( X_0(11) \)__”
in
Séminaire de Théorie des Nombres, 1981–1982
(Bordeaux, France, 1981–1982).
Edited by M. J. Bertin.
Séminaire de Théorie des Nombres, Université Bordeaux I.
Université Bordeaux,
1982.
Exposé no. 34, 5 pages.
MR
695347
Zbl
0514.14017
incollection

Minimal models for elliptic curves with complex multiplication,” Compositio Math. 45 : 2 (1982), pp. 155–164. MR 651979 Zbl 0541.14010 article

: “On the conjecture of Birch and Swinnerton-Dyer for elliptic curves with complex multiplication,” pp. 219–236 in Number theory related to Fermat’s last theorem: Proceedings of the conference sponsored by the Vaughn Foundation (Cambridge, MA, September 1981). Edited by N. Koblitz. Progress in Mathematics 26. Birkhäuser (Boston), 1982. MR 685298 Zbl 0506.14040 incollection

: “
Points de Heegner et dérivées de fonctions __\( L \)__”
[Heegner points and derivatives of __\( L \)__-functions],
C. R. Acad. Sci., Paris, Sér. I
297
(1983),
pp. 85–87.
With English summary.
An expanded version of this was published in *Invent. Math.* **84** (1986).
MR
720914
Zbl
0538.14023
article

Heegner points on __\( X_0(N) \)__,”
pp. 87–105
in
Modular forms: Contributions to a symposium on modular forms of one and several variables
(Durham, UK, 30 June–10 July 1983).
Edited by R. A. Rankin.
Ellis Horwood Series in Mathematics and its Applications.
Ellis Horwood Limited (Chichester, UK),
1984.
MR
803364
Zbl
0559.14011
incollection

On singular moduli,” J. Reine Angew. Math. 355 (1985), pp. 191–220. Dedicated to J.-P. Serre. MR 772491 Zbl 0545.10015 article

: “
Arithmetic on elliptic curves with complex multiplication, II,”
Invent. Math.
79 : 1
(1985),
pp. 11–29.
Part I was Gross’s 1980 *LNM* monograph. Both parts appear to be based on his 1978 PhD thesis.
MR
774527
Zbl
0584.14027
article

On the conjecture of Birch and Swinnerton-Dyer for an elliptic curve of __\( \operatorname{rank} 3 \)__,”
Math. Comput.
44 : 170
(April 1985),
pp. 473–481.
MR
777279
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0606.14021
article

The Eisenstein descent on __\( J_0(N) \)__,”
Invent. Math.
83 : 2
(June 1986),
pp. 303–319.
MR
818355
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0594.14027
article

Heegner points and derivatives of __\( L \)__-series,”
Invent. Math.
84
(1986),
pp. 225–320.
To John Tate.
This work expands on a short note published in *C. R. Acad. Sci., Paris* **297** (1983). Part II was published in *Math. Ann.* **278** (1987).
MR
833192
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0608.14019
article

On canonical and quasi-canonical liftings,” Invent. Math. 84 : 2 (June 1986), pp. 321–326. MR 833193 Zbl 0597.14044 article

: “Local heights on curves,” pp. 327–339 in Arithmetic geometry (Storrs, CT, 30 July–10 August 1984). Edited by G. Cornell and J. H. Silverman. Springer (New York), 1986. MR 861983 Zbl 0605.14027 incollection

: “Heegner points and the modular curve of prime level,” J. Math. Soc. Japan 39 : 2 (April 1987), pp. 345–362. MR 879933 Zbl 0623.14010 article

: “
Representation theory and the cuspidal group of __\( X(p) \)__,”
Duke Math. J.
54 : 1
(1987),
pp. 67–75.
To Yu. I. Manin.
MR
885776
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0629.14021
article

Heights and the special values of __\( L \)__-series,”
pp. 115–187
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(Montreal, 17–29 June 1985).
Edited by H. Kisilevsky and J. Labute.
CMS Conference Proceedings 7.
American Mathematical Society (Providence, RI),
1987.
MR
894322
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0623.10019
incollection

Heegner points and derivatives of __\( L \)__-series, II,”
Math. Ann.
278
(1987),
pp. 497–562.
Part I was published in *Inventiones Mathematicae* **84** (1986).
MR
909238
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0641.14013
article

Heights and __\( L \)__-series,”
pp. 425–433
in
Proceedings of the International Congress of Mathematicians
(Berkeley, CA, 3–11 August 1986),
vol. 1.
Edited by A. M. Gleason.
American Mathematical Society (Providence, RI),
1987.
MR
934242
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0665.14010
incollection

On the values of abelian __\( L \)__-functions at __\( s = 0 \)__,”
J. Fac. Sci., Univ. Tokyo, Sect. I A
35 : 1
(1988),
pp. 177–197.
MR
931448
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0681.12005
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Fourier series and the special values of __\( L \)__-functions,”
Adv. Math.
69 : 1
(May 1988),
pp. 1–31.
MR
937316
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0649.12009
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Local orders, root numbers, and modular curves,” Am. J. Math. 110 : 6 (December 1988), pp. 1153–1182. MR 970123 Zbl 0675.12011 article

: “
__\( p \)__-adic heights on curves,”
pp. 73–81
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Algebraic number theory: In honor of K. Iwasawa
(Berkeley, CA, 20–24 January 1987).
Edited by J. Coates.
Advanced Studies in Pure Mathematics 17.
Academic Press (Boston),
1989.
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Group representations and lattices,” J. Am. Math. Soc. 3 : 4 (October 1990), pp. 929–960. MR 1071117 Zbl 0745.11035 article

: “
A tameness criterion for Galois representations associated to modular forms mod __\( p \)__,”
Duke Math. J.
61 : 2
(1990),
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0743.11030
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Some applications of Gel’fand pairs to number theory,” Bull. Am. Math. Soc., New Ser. 24 : 2 (1991), pp. 277–301. MR 1074028 Zbl 0733.11018 article

: “
Kolyvagin’s work on modular elliptic curves,”
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__\( L \)__-functions and arithmetic
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Edited by J. Coates and M. J. Taylor.
London Mathematical Society Lecture Note Series 153.
Cambridge University Press,
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MR
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Test vectors for linear forms,” Math. Ann. 291 : 2 (1991), pp. 343–355. MR 1129372 Zbl 0768.22004 article

: “
Heights and the central critical values of triple product __\( L \)__-functions,”
Compos. Math.
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(1992),
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Elliptic curves and modular forms,” pp. 85–88 in Mathematics into the twenty-first century (Providence, RI, 8–12 August 1988). Edited by F. E. Browder. American Mathematical Society (Providence, RI), 1992. MR 1184615 Zbl 1011.11503 incollection

: “
On the decomposition of a representation of __\( \mathrm{SO}_n \)__ when restricted to __\( \mathrm{SO}_{n-1} \)__,”
Can. J. Math.
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MR
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On the intersection of modular correspondences,” Invent. Math. 112 : 2 (1993), pp. 225–245. MR 1213101 Zbl 0811.11026 article

: “The rigid analytic period mapping, Lubin–Tate space, and stable homotopy theory,” Bull. Am. Math. Soc., New Ser. 30 : 1 (1994), pp. 76–86. MR 1217353 Zbl 0857.55003 article

: “A remark on tube domains,” Math. Res. Lett. 1 : 1 (1994), pp. 1–9. MR 1258484 Zbl 0873.32032 article

: “Equivariant vector bundles on the Lubin–Tate moduli space,” pp. 23–88 in Topology and representation theory (Evanston, IL, 1–5 May 1992). Edited by E. M. Friedlander and M. E. Mahowald. American Mathematical Society (Providence, RI), 1994. MR 1263712 Zbl 0807.14037 incollection

: “
__\( L \)__-functions at the central critical point,”
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American Mathematical Society (Providence, RI),
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On irreducible representations of __\( \mathrm{SO}_{2n+1}\times \mathrm{SO}_{2m} \)__,”
Can. J. Math.
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A distinguished family of unitary representations for the exceptional groups of real rank __\( = 4 \)__,”
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Edited by J.-L. Brylinski, R. Brylinski, V. Guillemin, and V. Kac.
Birkhäuser (Boston),
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The modified diagonal cycle on the triple product of a pointed curve,” Ann. Inst. Fourier 45 : 3 (1995), pp. 649–679. MR 1340948 Zbl 0822.14015 article

: “
Groups over __\( \mathbb{Z} \)__,”
Invent. Math.
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(1996),
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To Reinhold Remmert.
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The exceptional cone and the Leech lattice,” Int. Math. Res. Not. 1996 : 14 (July 1996), pp. 665–698. MR 1411589 Zbl 0863.11027 article

: “On quaternionic discrete series representations, and their continuations,” J. Reine Angew. Math. 1996 : 481 (1996), pp. 73–123. MR 1421947 Zbl 0857.22012 article

: “
The dual pair __\( \mathrm{PGL}_3 \times \mathrm{G}_2 \)__,”
Can. Math. Bull.
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On the motive of a reductive group,” Invent. Math. 130 : 2 (1997), pp. 287–313. MR 1474159 Zbl 0904.11014 article

: “
On the motive of __\( G \)__ and the principal homomorphism __\( \mathrm{SL}_2 \to \hat{G} \)__,”
Asian J. Math.
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Embeddings into the integral octonions,” pp. 147–158 in Olga Taussky-Todd: In memoriam, published as Pac. J. Math. 181 : 3. Issue edited by M. Aschbacher, D. Blasius, and D. Ramakrishnan. International Press (Cambridge, MA), 1997. MR 1610847 Zbl 0981.11036 incollection

: “The Weyl character formula, the half-spin representations, and equal rank subgroups,” Proc. Natl. Acad. Sci. USA 95 : 15 (July 1998), pp. 8441–8442. MR 1639139 Zbl 0918.17002 article

: “
Modular forms mod __\( p \)__ and Galois representations,”
Int. Math. Res. Not.
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Motives with Galois group of type __\( \mathrm{G}_2 \)__: An exceptional theta-correspondence,”
Compos. Math.
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On the Satake isomorphism,” pp. 223–237 in Galois representations in arithmetic algebraic geometry (Durham, UK, 9–18 July 1996). Edited by A. J. Scholl and R. L. Taylor. Cambridge University Press, 1998. MR 1696481 Zbl 0996.11038 incollection

: “Haar measure and the Artin conductor,” Trans. Am. Math. Soc. 351 : 4 (1999), pp. 1691–1704. MR 1458303 Zbl 0991.20033 article

: “Commutative subrings of certain non-associative rings,” Math. Ann. 314 : 2 (1999), pp. 265–283. MR 1697445 Zbl 0990.11018 article

: “Algebraic modular forms,” Israel J. Math. 113 (December 1999), pp. 61–93. MR 1729443 Zbl 0965.11020 article

: “
On simply-connected groups over __\( \mathbf{Z} \)__, with __\( G(\mathbf{R}) \)__ compact,”
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Restriction of small discrete series representations to symmetric subgroups,” pp. 255–272 in The mathematical legacy of Harish-Chandra: A celebration of representation theory and harmonic analysis (Baltimore, MD, 9–10 January 1998). Edited by R. S. Doran and V. S. Varadarajan. Proceedings of Symposia in Pure Mathematics 68. American Mathematical Society (Providence, RI), 2000. MR 1767899 Zbl 0960.22008 incollection

: “Integral embeddings of cubic norm structures,” J. Algebra 233 : 1 (November 2000), pp. 363–397. To Nathan Jacobson, in memoriam. MR 1793601 Zbl 0990.11017 article

: “
On minuscule representations and the principal __\( \mathrm{SL}_2 \)__,”
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Cubic rings and the exceptional Jordan algebra,” Duke Math. J. 109 : 2 (2001), pp. 383–409. MR 1845183 Zbl 1028.11041 article

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Fourier coefficients of modular forms on __\( G_2 \)__,”
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Automorphisms of even unimodular lattices and unramified Salem numbers,” J. Algebra 257 : 2 (November 2002), pp. 265–290. Dedicated to J. G. Thompson on his 70th birthday. MR 1947324 Zbl 1022.11016 article

: “On the exceptional series, and its descendants,” C. R. Math. Acad. Sci. Paris 335 : 11 (2002), pp. 877–881. With French summary. MR 1952563 Zbl 1017.22008 article

: “Unramified reciprocal polynomials and Coxeter decompositions,” Mosc. Math. J. 2 : 4 (October–December 2002), pp. 681–692. Dedicated to Yuri I. Manin on the occasion of his 65th birthday. MR 1986086 Zbl 1136.11313 article

: “Some remarks on signs in functional equations,” Ramanujan J. 7 : 1–3 (2003), pp. 91–93. In memory of Robert A. Rankin. MR 2035794 Zbl 1057.11052 article

: “Globally maximal arithmetic groups,” J. Algebra 272 : 2 (February 2004), pp. 625–642. MR 2028074 Zbl 1113.20040 article

: “On some geometric constructions related to theta characteristics,” pp. 279–311 in Contributions to automorphic forms, geometry, and number theory: Papers from the conference in honor of Joseph Shalika on the occasion of his 60th birthday (Baltimore, MD, 14–17 May 2002). Edited by H. Hida, D. Ramakrishnan, and F. Shahidi. Johns Hopkins University Press (Baltimore, MD), 2004. MR 2058611 Zbl 1072.14032 incollection

: “
Correspondence,”
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Heegner points and representation theory,”
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The magic of numbers. Prentice Hall (Upper Saddle River, NJ), 2004. Zbl 1121.00004 book

:An elliptic curve test for Mersenne primes,” J. Number Theory 110 : 1 (January 2005), pp. 114–119. MR 2114676 Zbl 1074.11065 article

: “On the Euler characteristic of the discrete spectrum,” J. Number Theory 110 : 1 (January 2005), pp. 136–163. MR 2114678 Zbl 1080.11041 article

: “On the centralizer of a regular, semi-simple, stable conjugacy class,” Represent. Theory 9 (2005), pp. 287–296. MR 2133761 Zbl 1107.20034 article

: “
Computing weight 2 modular forms of level __\( p^2 \)__,”
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From Laplace to Langlands via representations of orthogonal groups,” Bull. Am. Math. Soc. (N.S.) 43 : 2 (2006), pp. 163–205. MR 2216109 Zbl 1159.11047 article

: “Cyclotomic factors of Coxeter polynomials,” J. Number Theory 129 : 5 (May 2009), pp. 1034–1043. MR 2516970 Zbl 1183.11065 article

: “On cubic rings and quaternion rings,” J. Number Theory 129 : 6 (2009), pp. 1468–1478. MR 2521487 Zbl 1166.11034 article

: “A rigid irregular connection on the projective line,” Ann. Math. (2) 170 : 3 (2009), pp. 1469–1512. MR 2600880 Zbl 1209.14017 article

: “The arithmetic of elliptic curves — an update,” Arab. J. Sci. Eng. ASJE. Math. 34 : 1D (2009), pp. 95–103. MR 2792223 Zbl 1229.11088 article

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: “Irreducible cuspidal representations with prescribed local behavior,” Am. J. Math. 133 : 5 (2011), pp. 1231–1258. MR 2843098 Zbl 1228.22017 article

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: “On the local divisibility of Heegner points,” pp. 215–241 in Number theory, analysis and geometry: In memory of Serge Lang. Edited by D. Goldfeld, J. Jorgenson, P. Jones, D. Ramakrishnan, K. Ribet, and J. Tate. Springer (Berlin), 2012. MR 2867919 Zbl 1276.11091 incollection

: “The classes of singular moduli in the generalized Jacobian,” pp. 137–141 in Geometry and arithmetic (Schiermonnikoog, Netherlands, 20–24 September 2010). Edited by C. Faber, G. Farkas, and R. de Jong. EMS Series of Congress Reports. European Mathematical Society (Zürich), 2012. MR 2987658 Zbl 1317.11047 incollection

: “Gradings of positive rank on simple Lie algebras,” Transform. Groups 17 : 4 (2012), pp. 1123–1190. MR 3000483 Zbl 1310.17017 ArXiv 1307.5765 article

: “Sur les conjectures de Gross et Prasad, I. Edited by W. T. Gan, B. H. Gross, D. Prasad, and J.-L. Waldspurger. Astérisque 346. Société Mathématique de France (Paris), 2012. MR 3052279 Zbl 1257.22001 book

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Symplectic local root numbers, central critical __\( L \)__ values, and restriction problems in the representation theory of classical groups,”
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Arithmetic invariant theory,”
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