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Author ID: miller.stephen-d Recent zbMATH articles by "Miller, Stephen D."
Published as: Miller, Stephen D.; Miller, Stephen
Homepage: https://sites.math.rutgers.edu/~sdmiller/
External Links: MGP · Wikidata

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 710 times in 537 Documents Cited by Year
The sphere packing problem in dimension \(24\). Zbl 1370.52037
Cohn, Henry; Kumar, Abhinav; Miller, Stephen D.; Radchenko, Danylo; Viazovska, Maryna
118
2017
Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\). Zbl 1162.11341
Miller, Stephen D.; Schmid, Wilfried
88
2006
Cancellation in additively twisted sums on \(\text{GL}(n)\). Zbl 1142.11033
Miller, Stephen D.
55
2006
Eisenstein series for higher-rank groups and string theory amplitudes. Zbl 1218.83034
Green, Michael B.; Miller, Stephen D.; Russo, Jorge G.; Vanhove, Pierre
45
2010
\(\mathrm{SL}(2, \mathbb{Z})\)-invariance and D-instanton contributions to the \(D^6 R^4\) interaction. Zbl 1338.81322
Green, Michael B.; Miller, Stephen D.; Vanhove, Pierre
36
2015
Small representations, string instantons, and Fourier modes of Eisenstein series. Zbl 1366.11098
Green, Michael B.; Miller, Stephen D.; Vanhove, Pierre
32
2015
Expander graphs based on GRH with an application to elliptic curve cryptography. Zbl 1228.05167
Jao, David; Miller, Stephen D.; Venkatesan, Ramarathnam
28
2009
Universal optimality of the \(E_8\) and Leech lattices and interpolation formulas. Zbl 1509.11061
Cohn, Henry; Kumar, Abhinav; Miller, Stephen; Radchenko, Danylo; Viazovska, Maryna
25
2022
On the existence and temperedness of cusp forms for \(\text{SL}_3(\mathbb{Z})\). Zbl 0996.11040
Miller, Stephen D.
24
2001
Summation formulas, from Poisson and Voronoi to the present. Zbl 1145.11313
Miller, Stephen D.; Schmid, Wilfried
23
2004
Eigenvalue spacings for regular graphs. Zbl 1071.81522
Jakobson, Dmitry; Miller, Stephen D.; Rivin, Igor; Rudnick, Zeév
19
1999
A general Voronoi summation formula for \(\mathrm{GL}(n, \mathbb Z)\). Zbl 1283.11075
Miller, Stephen D.; Schmid, Wilfried
18
2011
Do all elliptic curves of the same order have the same difficulty of discrete log? Zbl 1154.94401
Jao, David; Miller, Stephen D.; Venkatesan, Ramarathnam
16
2005
The highest lowest zero and other applications of positivity. Zbl 1014.11036
Miller, Stephen D.
16
2002
A spectral reciprocity formula and non-vanishing for \(L\)-functions on \(\mathrm{GL}(4)\times\mathrm{GL}(2)\). Zbl 1506.11078
Blomer, Valentin; Li, Xiaoqing; Miller, Stephen D.
16
2019
Non-vanishing of the central derivative of canonical Hecke \(L\)-functions. Zbl 1025.11011
Miller, Stephen D.; Yang, Tonghai
14
2000
Riemann’s zeta function and beyond. Zbl 1046.11001
Gelbart, Stephen S.; Miller, Stephen D.
14
2004
Entirety of cuspidal Eisenstein series on loop groups. Zbl 1369.22009
Garland, Howard; Miller, Stephen D.; Patnaik, Manish M.
14
2017
Fourier coefficients of automorphic forms, character variety orbits, and small representations. Zbl 1272.11062
Miller, Stephen D.; Sahi, Siddhartha
12
2012
The highly oscillatory behavior of automorphic distributions for \(\text{SL}(2)\). Zbl 1127.11033
Miller, Stephen D.; Schmid, Wilfried
11
2004
The Rankin-Selberg method for automorphic distributions. Zbl 1302.11033
Miller, Stephen D.; Schmid, Wilfried
10
2008
Distributions and analytic continuation of Dirichlet series. Zbl 1056.11050
Miller, Stephen D.; Schmid, Wilfried
10
2004
On the rapid decay of cuspidal automorphic forms. Zbl 1281.11047
Miller, Stephen D.; Schmid, Wilfried
8
2012
The balanced Voronoi formulas for \(\mathrm{GL}(n)\). Zbl 1468.11116
Miller, Stephen D.; Zhou, Fan
6
2019
Generating cryptographically-strong random lattice bases and recognizing rotations of \(\mathbb{Z}^n\). Zbl 1485.94059
Blanks, Tamar Lichter; Miller, Stephen D.
6
2021
The archimedean theory of the exterior square \(L\)-functions over \(\mathbb{Q}\). Zbl 1292.11062
Miller, Stephen D.; Schmid, Wilfried
5
2012
MV3: A new word based stream cipher using rapid mixing and revolving buffers. Zbl 1177.94154
Keller, Nathan; Miller, Stephen D.; Mironov, Ilya; Venkatesan, Ramarathnam
4
2006
Landau-Siegel zeroes and black hole entropy. Zbl 1116.11311
Miller, Stephen D.; Moore, Gregory
4
2000
Spectral analysis of pollard rho collisions. Zbl 1143.94351
Miller, Stephen D.; Venkatesan, Ramarathnam
4
2006
Non-abelian analogs of lattice rounding. Zbl 1345.94037
Begelfor, Evgeni; Miller, Stephen D.; Venkatesan, Ramarathnam
3
2015
A template method for Fourier coefficients of Langlands Eisenstein series. Zbl 1473.11215
Goldfeld, Dorian; Miller, Stephen D.; Woodbury, Michael
3
2021
Adelization of automorphic distributions and mirabolic Eisenstein series. Zbl 1245.11097
Miller, Stephen D.; Schmid, Wilfried
3
2011
Pairings of automorphic distributions. Zbl 1351.11028
Miller, Stephen D.; Schmid, Wilfried
3
2012
Spectral and cohomological applications of the Rankin-Selberg method. Zbl 0863.11036
Miller, Stephen D.
2
1996
Coppersmith’s lattices and “focus groups”: an attack on small-exponent RSA. Zbl 1469.11476
Miller, Stephen D.; Narayanan, Bhargav; Venkatesan, Ramarathnam
2
2021
A \(p\)-adic integral for the reciprocal of \(L\)-functions. Zbl 1353.11108
Gelbart, Stephen; Miller, Stephen D.; Panchishkin, Alexei; Shahidi, Freydoon
2
2014
Residual automorphic forms and spherical unitary representations of exceptional groups. Zbl 1269.22009
Miller, Stephen D.
2
2013
Non-degeneracy of Pollard rho collisions. Zbl 1175.11073
Miller, Stephen D.; Venkatesan, Ramarathnam
2
2009
Kissing numbers and transference theorems from generalized tail bounds. Zbl 1422.52006
Miller, Stephen D.; Stephens-Davidowitz, Noah
2
2019
Distinguishing attacks on stream ciphers based on arrays of pseudo-random words. Zbl 1209.68223
Keller, Nathan; Miller, Stephen D.
1
2010
On the nonexistence of automorphic eigenfunctions of exponential growth on \(\mathrm{SL}(3,\mathbb Z)\setminus \mathrm{SL}(3,\mathbb R)/\mathrm{SO}(3,\mathbb R)\). Zbl 1472.11128
Miller, Stephen D.; Trinh, Tien
1
2019
Universal optimality of the \(E_8\) and Leech lattices and interpolation formulas. Zbl 1509.11061
Cohn, Henry; Kumar, Abhinav; Miller, Stephen; Radchenko, Danylo; Viazovska, Maryna
25
2022
Generating cryptographically-strong random lattice bases and recognizing rotations of \(\mathbb{Z}^n\). Zbl 1485.94059
Blanks, Tamar Lichter; Miller, Stephen D.
6
2021
A template method for Fourier coefficients of Langlands Eisenstein series. Zbl 1473.11215
Goldfeld, Dorian; Miller, Stephen D.; Woodbury, Michael
3
2021
Coppersmith’s lattices and “focus groups”: an attack on small-exponent RSA. Zbl 1469.11476
Miller, Stephen D.; Narayanan, Bhargav; Venkatesan, Ramarathnam
2
2021
A spectral reciprocity formula and non-vanishing for \(L\)-functions on \(\mathrm{GL}(4)\times\mathrm{GL}(2)\). Zbl 1506.11078
Blomer, Valentin; Li, Xiaoqing; Miller, Stephen D.
16
2019
The balanced Voronoi formulas for \(\mathrm{GL}(n)\). Zbl 1468.11116
Miller, Stephen D.; Zhou, Fan
6
2019
Kissing numbers and transference theorems from generalized tail bounds. Zbl 1422.52006
Miller, Stephen D.; Stephens-Davidowitz, Noah
2
2019
On the nonexistence of automorphic eigenfunctions of exponential growth on \(\mathrm{SL}(3,\mathbb Z)\setminus \mathrm{SL}(3,\mathbb R)/\mathrm{SO}(3,\mathbb R)\). Zbl 1472.11128
Miller, Stephen D.; Trinh, Tien
1
2019
The sphere packing problem in dimension \(24\). Zbl 1370.52037
Cohn, Henry; Kumar, Abhinav; Miller, Stephen D.; Radchenko, Danylo; Viazovska, Maryna
118
2017
Entirety of cuspidal Eisenstein series on loop groups. Zbl 1369.22009
Garland, Howard; Miller, Stephen D.; Patnaik, Manish M.
14
2017
\(\mathrm{SL}(2, \mathbb{Z})\)-invariance and D-instanton contributions to the \(D^6 R^4\) interaction. Zbl 1338.81322
Green, Michael B.; Miller, Stephen D.; Vanhove, Pierre
36
2015
Small representations, string instantons, and Fourier modes of Eisenstein series. Zbl 1366.11098
Green, Michael B.; Miller, Stephen D.; Vanhove, Pierre
32
2015
Non-abelian analogs of lattice rounding. Zbl 1345.94037
Begelfor, Evgeni; Miller, Stephen D.; Venkatesan, Ramarathnam
3
2015
A \(p\)-adic integral for the reciprocal of \(L\)-functions. Zbl 1353.11108
Gelbart, Stephen; Miller, Stephen D.; Panchishkin, Alexei; Shahidi, Freydoon
2
2014
Residual automorphic forms and spherical unitary representations of exceptional groups. Zbl 1269.22009
Miller, Stephen D.
2
2013
Fourier coefficients of automorphic forms, character variety orbits, and small representations. Zbl 1272.11062
Miller, Stephen D.; Sahi, Siddhartha
12
2012
On the rapid decay of cuspidal automorphic forms. Zbl 1281.11047
Miller, Stephen D.; Schmid, Wilfried
8
2012
The archimedean theory of the exterior square \(L\)-functions over \(\mathbb{Q}\). Zbl 1292.11062
Miller, Stephen D.; Schmid, Wilfried
5
2012
Pairings of automorphic distributions. Zbl 1351.11028
Miller, Stephen D.; Schmid, Wilfried
3
2012
A general Voronoi summation formula for \(\mathrm{GL}(n, \mathbb Z)\). Zbl 1283.11075
Miller, Stephen D.; Schmid, Wilfried
18
2011
Adelization of automorphic distributions and mirabolic Eisenstein series. Zbl 1245.11097
Miller, Stephen D.; Schmid, Wilfried
3
2011
Eisenstein series for higher-rank groups and string theory amplitudes. Zbl 1218.83034
Green, Michael B.; Miller, Stephen D.; Russo, Jorge G.; Vanhove, Pierre
45
2010
Distinguishing attacks on stream ciphers based on arrays of pseudo-random words. Zbl 1209.68223
Keller, Nathan; Miller, Stephen D.
1
2010
Expander graphs based on GRH with an application to elliptic curve cryptography. Zbl 1228.05167
Jao, David; Miller, Stephen D.; Venkatesan, Ramarathnam
28
2009
Non-degeneracy of Pollard rho collisions. Zbl 1175.11073
Miller, Stephen D.; Venkatesan, Ramarathnam
2
2009
The Rankin-Selberg method for automorphic distributions. Zbl 1302.11033
Miller, Stephen D.; Schmid, Wilfried
10
2008
Automorphic distributions, \(L\)-functions, and Voronoi summation for \(\text{GL}(3)\). Zbl 1162.11341
Miller, Stephen D.; Schmid, Wilfried
88
2006
Cancellation in additively twisted sums on \(\text{GL}(n)\). Zbl 1142.11033
Miller, Stephen D.
55
2006
MV3: A new word based stream cipher using rapid mixing and revolving buffers. Zbl 1177.94154
Keller, Nathan; Miller, Stephen D.; Mironov, Ilya; Venkatesan, Ramarathnam
4
2006
Spectral analysis of pollard rho collisions. Zbl 1143.94351
Miller, Stephen D.; Venkatesan, Ramarathnam
4
2006
Do all elliptic curves of the same order have the same difficulty of discrete log? Zbl 1154.94401
Jao, David; Miller, Stephen D.; Venkatesan, Ramarathnam
16
2005
Summation formulas, from Poisson and Voronoi to the present. Zbl 1145.11313
Miller, Stephen D.; Schmid, Wilfried
23
2004
Riemann’s zeta function and beyond. Zbl 1046.11001
Gelbart, Stephen S.; Miller, Stephen D.
14
2004
The highly oscillatory behavior of automorphic distributions for \(\text{SL}(2)\). Zbl 1127.11033
Miller, Stephen D.; Schmid, Wilfried
11
2004
Distributions and analytic continuation of Dirichlet series. Zbl 1056.11050
Miller, Stephen D.; Schmid, Wilfried
10
2004
The highest lowest zero and other applications of positivity. Zbl 1014.11036
Miller, Stephen D.
16
2002
On the existence and temperedness of cusp forms for \(\text{SL}_3(\mathbb{Z})\). Zbl 0996.11040
Miller, Stephen D.
24
2001
Non-vanishing of the central derivative of canonical Hecke \(L\)-functions. Zbl 1025.11011
Miller, Stephen D.; Yang, Tonghai
14
2000
Landau-Siegel zeroes and black hole entropy. Zbl 1116.11311
Miller, Stephen D.; Moore, Gregory
4
2000
Eigenvalue spacings for regular graphs. Zbl 1071.81522
Jakobson, Dmitry; Miller, Stephen D.; Rivin, Igor; Rudnick, Zeév
19
1999
Spectral and cohomological applications of the Rankin-Selberg method. Zbl 0863.11036
Miller, Stephen D.
2
1996
all top 5

Cited by 689 Authors

19 Kleinschmidt, Axel
18 Miller, Stephen D.
14 Lu, Guangshi
11 Bétermin, Laurent
10 Bossard, Guillaume
10 Green, Michael B.
8 Blomer, Valentin
8 Cohn, Henry Lee
8 Jiang, Yujiao
8 Schlotterer, Oliver
8 Sun, Qingfeng
8 Ye, Yangbo
7 Dorigoni, Daniele
7 Hou, Fei
7 Khan, Rizwanur
6 Gorbachëv, Dmitriĭ Viktorovich
6 Munshi, Ritabrata
6 Qi, Zhi
5 Buttcane, Jack
5 Carneiro, Emanuel
5 Chester, Shai M.
5 Faulhuber, Markus
5 Galbraith, Steven D.
5 Gustafsson, Henrik P. A.
5 Huang, Bingrong
5 Jao, David
5 Miller, Steven J.
5 Persson, Daniel
5 Ramos, João Pedro Gonçalves
5 Sahi, Siddhartha
5 Schmid, Wilfried
5 Sen, Ashoke
5 Wei, Juncheng
5 Wen, Congkao
5 Wesolowski, Benjamin
5 Yang, Tonghai
5 Young, Matthew P.
4 Carbone, Lisa J.
4 Ducas, Léo
4 Goldfeld, Dorian Morris
4 Gonçalves, Felipe M.
4 Gourevitch, Dmitry
4 Humphries, Peter J.
4 Ivanov, Valerĭ Ivanovich
4 Lee, Kyu-Hwan
4 Li, Xiaoqing
4 Luo, Senping
4 Mazáč, Dalimil
4 Petrache, Mircea
4 Radchenko, Danylo V.
4 Ren, Xiumin
4 Sawin, William F.
4 Singh, Saurabh Kumar
4 Templier, Nicolas
4 Vallentin, Frank
4 Vanhove, Pierre
4 V”yazovs’ka, Maryna Sergiïvna
4 Wang, Yifan
3 Basu, Anirban
3 Biasse, Jean-François
3 Bisson, Gaetan
3 Chamizo Lorente, Fernando
3 Chenevier, Gaëtan
3 De Feo, Luca
3 de Laat, David
3 D’Hoker, Eric
3 Gubay, Finn
3 Hardin, Douglas P.
3 Jana, Subhajit
3 Kowalski, Emmanuel
3 Lin, Yongxiao
3 Liu, Dongwen
3 Michel, Philippe Gabriel
3 Pioline, Boris
3 Pufu, Silviu S.
3 Stade, Eric
3 Stoller, Martin
3 Tikhonov, Sergey Yur’evich
3 Venkatesan, Ramarathnam
3 Verschinin, Valentin
3 Vesalainen, Esa V.
3 West, Peter C.
3 Woodbury, Michael
3 Xi, Ping
3 Yau, Horng-Tzer
2 Acharya, Ratnadeep
2 Aggarwal, Keshav
2 Ahlén, Olof
2 Alday, Luis Fernando
2 Anantharaman, Nalini
2 Assing, Edgar
2 Avigad, Jeremy
2 Balkanova, Ol’ga Germanovna
2 Banerjee, Debika
2 Baruch, Ehud Moshe
2 Bauerschmidt, Roland
2 Bianchi, Massimo
2 Carmelo Interlando, J.
2 Chandee, Vorrapan
2 Collier, Scott
...and 589 more Authors
all top 5

Cited in 158 Serials

62 Journal of High Energy Physics
42 Journal of Number Theory
14 International Journal of Number Theory
12 Advances in Mathematics
12 Mathematische Annalen
11 Duke Mathematical Journal
10 Forum Mathematicum
9 Mathematische Zeitschrift
9 Transactions of the American Mathematical Society
8 Proceedings of the American Mathematical Society
7 Journal of Functional Analysis
7 Designs, Codes and Cryptography
7 Frontiers of Mathematics in China
6 Discrete & Computational Geometry
6 Bulletin of the American Mathematical Society. New Series
6 The Ramanujan Journal
6 Journal of the European Mathematical Society (JEMS)
6 Science China. Mathematics
5 Mathematics of Computation
5 American Journal of Mathematics
5 Compositio Mathematica
5 Manuscripta Mathematica
5 Mathematika
5 Journal of Mathematical Cryptology
5 Algebra & Number Theory
5 Forum of Mathematics, Sigma
4 Communications in Mathematical Physics
4 Communications on Pure and Applied Mathematics
4 Journal of Statistical Physics
4 Acta Arithmetica
4 Functiones et Approximatio. Commentarii Mathematici
4 Monatshefte für Mathematik
4 Acta Mathematica Hungarica
4 Geometric and Functional Analysis. GAFA
4 Annals of Mathematics. Second Series
4 Journal of Physics A: Mathematical and Theoretical
3 Israel Journal of Mathematics
3 Journal d’Analyse Mathématique
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Constructive Approximation
3 Revista Matemática Iberoamericana
3 Journal of Theoretical Probability
3 Journal of Discrete Mathematical Sciences & Cryptography
3 Annales Henri Poincaré
3 Journal of the Institute of Mathematics of Jussieu
3 Random Matrices: Theory and Applications
3 Research in the Mathematical Sciences
3 Research in Number Theory
2 Archive for Rational Mechanics and Analysis
2 Journal of Mathematical Analysis and Applications
2 Letters in Mathematical Physics
2 Mathematical Notes
2 Physics Reports
2 Annales de l’Institut Fourier
2 The Annals of Probability
2 Archiv der Mathematik
2 Canadian Journal of Mathematics
2 Commentarii Mathematici Helvetici
2 Publications Mathématiques
2 Inventiones Mathematicae
2 Journal für die Reine und Angewandte Mathematik
2 Memoirs of the American Mathematical Society
2 Journal of the American Mathematical Society
2 Journal of the Ramanujan Mathematical Society
2 SIAM Journal on Applied Mathematics
2 SIAM Journal on Mathematical Analysis
2 Mathematical Programming. Series A. Series B
2 Experimental Mathematics
2 Calculus of Variations and Partial Differential Equations
2 Combinatorics, Probability and Computing
2 Selecta Mathematica. New Series
2 Discrete and Continuous Dynamical Systems
2 The Journal of Fourier Analysis and Applications
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Mediterranean Journal of Mathematics
2 Cryptography and Communications
2 Analysis and Mathematical Physics
2 Communications in Mathematics
2 Proceedings of the American Mathematical Society. Series B
2 Sampling Theory, Signal Processing, and Data Analysis
1 Archive for History of Exact Sciences
1 Bulletin of the Australian Mathematical Society
1 Information Processing Letters
1 Journal of Mathematical Physics
1 Lithuanian Mathematical Journal
1 Nuclear Physics. B
1 Physics Letters. B
1 Rocky Mountain Journal of Mathematics
1 Applied Mathematics and Computation
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Information Sciences
1 Journal of Differential Equations
1 Journal of the London Mathematical Society. Second Series
1 Journal of Pure and Applied Algebra
1 Results in Mathematics
1 SIAM Journal on Computing
1 Studies in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Journal of Symbolic Computation
...and 58 more Serials
all top 5

Cited in 48 Fields

322 Number theory (11-XX)
90 Quantum theory (81-XX)
49 Information and communication theory, circuits (94-XX)
44 Relativity and gravitational theory (83-XX)
43 Convex and discrete geometry (52-XX)
33 Algebraic geometry (14-XX)
33 Harmonic analysis on Euclidean spaces (42-XX)
32 Combinatorics (05-XX)
32 Topological groups, Lie groups (22-XX)
29 Statistical mechanics, structure of matter (82-XX)
26 Computer science (68-XX)
24 Operations research, mathematical programming (90-XX)
23 Probability theory and stochastic processes (60-XX)
17 Group theory and generalizations (20-XX)
15 Partial differential equations (35-XX)
14 Special functions (33-XX)
10 Global analysis, analysis on manifolds (58-XX)
10 Mechanics of deformable solids (74-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Real functions (26-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Differential geometry (53-XX)
7 History and biography (01-XX)
7 Approximations and expansions (41-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 Nonassociative rings and algebras (17-XX)
6 Functions of a complex variable (30-XX)
5 Measure and integration (28-XX)
5 Potential theory (31-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Abstract harmonic analysis (43-XX)
4 Functional analysis (46-XX)
4 Numerical analysis (65-XX)
4 Mechanics of particles and systems (70-XX)
3 Commutative algebra (13-XX)
3 Integral transforms, operational calculus (44-XX)
3 Statistics (62-XX)
3 Biology and other natural sciences (92-XX)
2 General and overarching topics; collections (00-XX)
2 Mathematical logic and foundations (03-XX)
2 Ordinary differential equations (34-XX)
1 Associative rings and algebras (16-XX)
1 Sequences, series, summability (40-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Manifolds and cell complexes (57-XX)
1 Fluid mechanics (76-XX)
1 Systems theory; control (93-XX)

Citations by Year

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