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Adolphson, Alan

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Author ID: adolphson.alan Recent zbMATH articles by "Adolphson, Alan"
Published as: Adolphson, A.; Adolphson, Alan
Documents Indexed: 52 Publications since 1976, including 2 Books

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 327 times in 206 Documents Cited by Year
Hypergeometric functions and rings generated by monomials. Zbl 0804.33013
Adolphson, Alan
63
1994
Exponential sums and Newton polyhedra: cohomology and estimates. Zbl 0723.14017
Adolphson, Alan; Sperber, Steven
56
1989
\(p\)-adic estimates for exponential sums and the theorem of Chevalley-Warning. Zbl 0654.12011
Adolphson, Alan; Sperber, Steven
27
1987
Newton polyhedra and the degree of the L-function associated to an exponential sum. Zbl 0623.12012
Adolphson, Alan; Sperber, Steven
21
1987
On the degree of the \(L\)-function associated with an exponential sum. Zbl 0665.12022
Adolphson, Alan; Sperber, Steven
12
1988
Twisted exponential sums and Newton polyhedra. Zbl 0853.11067
Adolphson, Alan; Sperber, Steven
11
1993
On the distribution of angles of Kloosterman sums. Zbl 0682.40002
Adolphson, Alan
11
1989
An index theorem for p-adic differential operators. Zbl 0297.47039
Adolphson, A.
9
1976
On twisted exponential sums. Zbl 0716.11039
Adolphson, Alan; Sperber, Steven
7
1991
Higher solutions of hypergeometric systems and Dwork cohomology. Zbl 0931.14012
Adolphson, Alan
6
1999
p-adic estimates for exponential sums. Zbl 0727.11056
Adolphson, Alan; Sperber, Steven
6
1990
Exponential sums on the complement of a hypersurface. Zbl 0444.12016
Adolphson, Alan; Sperber, Steven
6
1980
Distinguished-root formulas for generalized Calabi-Yau hypersurfaces. Zbl 1394.11054
Adolphson, Alan; Sperber, Steven
5
2017
Hasse invariants and mod \(p\) solutions of \(A\)-hypergeometric systems. Zbl 1295.11134
Adolphson, Alan; Sperber, Steven
5
2014
On twisted de Rham cohomology. Zbl 0915.14012
Adolphson, Alan; Sperber, Steven
5
1997
Exponential sums on \((\mathbb{G}_ m)^ n\). Zbl 0764.11037
Adolphson, Alan; Sperber, Steven
5
1990
Twisted Kloosterman sums and \(p\)-adic Bessel functions. Zbl 0552.12010
Adolphson, Alan; Sperber, Steven
5
1984
The \(U_p\)-operator of Atkin on modular functions of level three. Zbl 0431.14006
Adolphson, Alan
5
1980
A p-adic theory of Hecke polynomials. Zbl 0339.14012
Adolphson, Alan
5
1976
On unit root formulas for toric exponential sums. Zbl 1251.11081
Adolphson, Alan; Sperber, Steven
4
2012
On the zeta function of a complete intersection. Zbl 0911.11030
Adolphson, Alan; Sperber, Steven
4
1996
Exponential sums and Newton polyhedra. Zbl 0634.12018
Adolphson, Alan; Sperber, Steven
4
1987
On the Dwork trace formula. Zbl 0552.12011
Adolphson, Alan
4
1984
\(A\)-hypergeometric series and the Hasse-Witt matrix of a hypersurface. Zbl 1416.11101
Adolphson, Alan; Sperber, Steven
3
2016
\(A\)-hypergeometric systems that come from geometry. Zbl 1257.14016
Adolphson, Alan; Sperber, Steven
3
2012
Exponential sums nondegenerate relative to a lattice. Zbl 1207.11082
Adolphson, Alan; Sperber, Steven
3
2009
On the Jacobian ring of a complete intersection. Zbl 1110.14046
Adolphson, Alan; Sperber, Steven
3
2006
Exponential sums on \(\mathbb{A}^n\). Zbl 1034.11043
Adolphson, Alan; Sperber, Steven
3
2000
Exponential sums on \(\mathbb{A}^n\). III. Zbl 0987.11076
Adolphson, Alan; Sperber, Steven
3
2000
Twisted Kloosterman sums and \(p\)-adic Bessel functions. II: Newton polygons and analytic continuation. Zbl 0633.12007
Adolphson, Alan; Sperber, Steven
3
1987
Character sums in finite fields. Zbl 0561.12008
Adolphson, A.; Sperber, Steven
3
1984
On the zeta function of a projective complete intersection. Zbl 1232.11092
Adolphson, Alan; Sperber, Steven
2
2008
Exponential sums on \(\mathbf{A}^n\). II. Zbl 1125.11337
Adolphson, Alan; Sperber, Steven
2
2004
Dwork cohomology, de Rham cohomology, and hypergeometric functions. Zbl 0980.14017
Adolphson, Alan; Sperber, Steven
2
2000
Exponential sums on \((\mathbb{F}_ q^*)^ n\). Zbl 0764.11036
Adolphson, A.; Sperber, S.
2
1990
Growth of solutions of linear differential equations at a logarithmic singularity. Zbl 0502.12017
Adolphson, A.; Dwork, B.; Sperber, S.
2
1982
On the integrality of factorial ratios and mirror maps. Zbl 1432.11068
Adolphson, Alan; Sperber, Steven
1
2020
Exponential sums and generalized hypergeometric functions. I: Cohomology spaces and Frobenius action. Zbl 1100.11024
Adolphson, Alan
1
2004
Geometric aspects of Dwork theory. Vol. I, II. Zbl 1047.14001
Adolphson, Alan (ed.); Baldassarri, Francesco (ed.); Berthelot, Pierre (ed.); Katz, Nicholas (ed.); Loeser, François (ed.)
1
2004
On the degree of the zeta function of a complete intersection. Zbl 0946.14010
Adolphson, Alan; Sperber, Steven
1
1999
Contiguity relations for generalized hypergeometric functions. Zbl 0814.33004
Adolphson, Alan; Dwork, Bernard
1
1995
Uniqueness of \(\Gamma _ p:\) The locally analytic case. Zbl 0552.12009
Adolphson, Alan
1
1984
On the mod p eigenvalues of Hecke operators. Zbl 0339.14011
Adolphson, Alan
1
1976
On the integrality of factorial ratios and mirror maps. Zbl 1432.11068
Adolphson, Alan; Sperber, Steven
1
2020
Distinguished-root formulas for generalized Calabi-Yau hypersurfaces. Zbl 1394.11054
Adolphson, Alan; Sperber, Steven
5
2017
\(A\)-hypergeometric series and the Hasse-Witt matrix of a hypersurface. Zbl 1416.11101
Adolphson, Alan; Sperber, Steven
3
2016
Hasse invariants and mod \(p\) solutions of \(A\)-hypergeometric systems. Zbl 1295.11134
Adolphson, Alan; Sperber, Steven
5
2014
On unit root formulas for toric exponential sums. Zbl 1251.11081
Adolphson, Alan; Sperber, Steven
4
2012
\(A\)-hypergeometric systems that come from geometry. Zbl 1257.14016
Adolphson, Alan; Sperber, Steven
3
2012
Exponential sums nondegenerate relative to a lattice. Zbl 1207.11082
Adolphson, Alan; Sperber, Steven
3
2009
On the zeta function of a projective complete intersection. Zbl 1232.11092
Adolphson, Alan; Sperber, Steven
2
2008
On the Jacobian ring of a complete intersection. Zbl 1110.14046
Adolphson, Alan; Sperber, Steven
3
2006
Exponential sums on \(\mathbf{A}^n\). II. Zbl 1125.11337
Adolphson, Alan; Sperber, Steven
2
2004
Exponential sums and generalized hypergeometric functions. I: Cohomology spaces and Frobenius action. Zbl 1100.11024
Adolphson, Alan
1
2004
Geometric aspects of Dwork theory. Vol. I, II. Zbl 1047.14001
Adolphson, Alan (ed.); Baldassarri, Francesco (ed.); Berthelot, Pierre (ed.); Katz, Nicholas (ed.); Loeser, François (ed.)
1
2004
Exponential sums on \(\mathbb{A}^n\). Zbl 1034.11043
Adolphson, Alan; Sperber, Steven
3
2000
Exponential sums on \(\mathbb{A}^n\). III. Zbl 0987.11076
Adolphson, Alan; Sperber, Steven
3
2000
Dwork cohomology, de Rham cohomology, and hypergeometric functions. Zbl 0980.14017
Adolphson, Alan; Sperber, Steven
2
2000
Higher solutions of hypergeometric systems and Dwork cohomology. Zbl 0931.14012
Adolphson, Alan
6
1999
On the degree of the zeta function of a complete intersection. Zbl 0946.14010
Adolphson, Alan; Sperber, Steven
1
1999
On twisted de Rham cohomology. Zbl 0915.14012
Adolphson, Alan; Sperber, Steven
5
1997
On the zeta function of a complete intersection. Zbl 0911.11030
Adolphson, Alan; Sperber, Steven
4
1996
Contiguity relations for generalized hypergeometric functions. Zbl 0814.33004
Adolphson, Alan; Dwork, Bernard
1
1995
Hypergeometric functions and rings generated by monomials. Zbl 0804.33013
Adolphson, Alan
63
1994
Twisted exponential sums and Newton polyhedra. Zbl 0853.11067
Adolphson, Alan; Sperber, Steven
11
1993
On twisted exponential sums. Zbl 0716.11039
Adolphson, Alan; Sperber, Steven
7
1991
p-adic estimates for exponential sums. Zbl 0727.11056
Adolphson, Alan; Sperber, Steven
6
1990
Exponential sums on \((\mathbb{G}_ m)^ n\). Zbl 0764.11037
Adolphson, Alan; Sperber, Steven
5
1990
Exponential sums on \((\mathbb{F}_ q^*)^ n\). Zbl 0764.11036
Adolphson, A.; Sperber, S.
2
1990
Exponential sums and Newton polyhedra: cohomology and estimates. Zbl 0723.14017
Adolphson, Alan; Sperber, Steven
56
1989
On the distribution of angles of Kloosterman sums. Zbl 0682.40002
Adolphson, Alan
11
1989
On the degree of the \(L\)-function associated with an exponential sum. Zbl 0665.12022
Adolphson, Alan; Sperber, Steven
12
1988
\(p\)-adic estimates for exponential sums and the theorem of Chevalley-Warning. Zbl 0654.12011
Adolphson, Alan; Sperber, Steven
27
1987
Newton polyhedra and the degree of the L-function associated to an exponential sum. Zbl 0623.12012
Adolphson, Alan; Sperber, Steven
21
1987
Exponential sums and Newton polyhedra. Zbl 0634.12018
Adolphson, Alan; Sperber, Steven
4
1987
Twisted Kloosterman sums and \(p\)-adic Bessel functions. II: Newton polygons and analytic continuation. Zbl 0633.12007
Adolphson, Alan; Sperber, Steven
3
1987
Twisted Kloosterman sums and \(p\)-adic Bessel functions. Zbl 0552.12010
Adolphson, Alan; Sperber, Steven
5
1984
On the Dwork trace formula. Zbl 0552.12011
Adolphson, Alan
4
1984
Character sums in finite fields. Zbl 0561.12008
Adolphson, A.; Sperber, Steven
3
1984
Uniqueness of \(\Gamma _ p:\) The locally analytic case. Zbl 0552.12009
Adolphson, Alan
1
1984
Growth of solutions of linear differential equations at a logarithmic singularity. Zbl 0502.12017
Adolphson, A.; Dwork, B.; Sperber, S.
2
1982
Exponential sums on the complement of a hypersurface. Zbl 0444.12016
Adolphson, Alan; Sperber, Steven
6
1980
The \(U_p\)-operator of Atkin on modular functions of level three. Zbl 0431.14006
Adolphson, Alan
5
1980
An index theorem for p-adic differential operators. Zbl 0297.47039
Adolphson, A.
9
1976
A p-adic theory of Hecke polynomials. Zbl 0339.14012
Adolphson, Alan
5
1976
On the mod p eigenvalues of Hecke operators. Zbl 0339.14011
Adolphson, Alan
1
1976
all top 5

Cited by 190 Authors

27 Sperber, Steven I.
24 Adolphson, Alan
11 Matusevich, Laura Felicia
9 Castro, Francis Noel
8 Liu, Chunlei
8 Walther, Uli
7 Cao, Wei
7 Fernández-Fernández, María-Cruz
5 Castro-Jiménez, Francisco Jesús
5 Haessig, C. Douglas
5 Niu, ChuanZe
5 Takeuchi, Kiyoshi
4 Berkesch Zamaere, Christine
4 Dickenstein, Alicia M.
4 Hong, Shaofang
4 Lauder, Alan G. B.
4 Medina, Luis A.
4 Schulze, Mathias
4 Sevenheck, Christian
4 Takayama, Nobuki
3 Basu, Saugata
3 Beukers, Frits
3 Blache, Régis
3 Glazunov, Mykola Mykhaĭlovych
3 Iritani, Hiroshi
3 Liu, WenXin
3 Miller, Ezra
3 Ouyang, Yi
3 Reichelt, Thomas
3 Rubio, Ivelisse M.
3 Wan, Daqing
3 Zhu, Hui June
2 Bandman, Tatiana M.
2 Borisov, Lev A.
2 Coleman, Robert Frederick
2 Crew, Richard M.
2 Denef, Jan
2 Esterov, Alexander I.
2 Forsgård, Jens
2 Fu, Lei
2 González, Oscar E.
2 Hartillo-Hermoso, María Isabel
2 Horja, R. Paul
2 Katz, Nicholas Michael
2 Kunyavskiĭ, Boris Èmmanuilovich
2 Lachaud, Gilles
2 Matsubara-Heo, Saiei-Jaeyeong
2 Robba, Philippe
2 Rojas-León, Antonio
2 Saito, Mutsumi
2 Shparlinski, Igor E.
2 Smith, Luke B.
2 van der Put, Marius
2 Whitcher, Ursula A.
2 Yang, Jinbang
2 Yu, Jeng-Daw
2 Zúñiga-Galindo, Wilson A.
1 Achter, Jeffrey D.
1 Aggarwal, Keshav
1 Ando, Kana
1 André, Yves
1 Arcadias, Rémi
1 Artamonov, Dmitry V.
1 Balasubramanian, Ramachandran
1 Baldassarri, Francesco
1 Barone, Sal
1 Berthelot, Pierre
1 Castaño Domínguez, Alberto
1 Castro-Velez, F. N.
1 Castryck, Wouter
1 Cattani, Eduardo H.
1 Chapman, Robin J.
1 Chen, Chao
1 Chen, Hua
1 Chen, Jianming
1 Christol, Gilles
1 Cluckers, Raf
1 D’Andrea, Carlos
1 Dartyge, Cécile
1 Djanković, Goran
1 Dollarhide, John
1 Donovan, Will
1 Doran, Charles F.
1 Dwork, Bernard Morris
1 Esnault, Hélène
1 Fang, JiangXue
1 Feng, Weiduan
1 Férard, Éric
1 Figueroa, Raúl F.
1 Fischler, Stéphane
1 Fleming, Patrick S.
1 Fouvry, Etienne
1 Franc, Cameron
1 Fu, Lei
1 Gannon, Terry
1 García López, Ricardo
1 Garcia, Stephan Ramon
1 Garion, Shelly
1 Garnier, Laurent
1 Gillot, Valérie
...and 90 more Authors
all top 5

Cited in 77 Serials

20 Journal of Number Theory
17 Finite Fields and their Applications
13 Advances in Mathematics
10 Transactions of the American Mathematical Society
9 Duke Mathematical Journal
7 Inventiones Mathematicae
7 Proceedings of the American Mathematical Society
5 Compositio Mathematica
5 Journal of Pure and Applied Algebra
5 Mathematische Annalen
4 Israel Journal of Mathematics
4 Journal of Algebra
4 Mathematische Zeitschrift
4 Revista Matemática Iberoamericana
3 Annales de l’Institut Fourier
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Journal für die Reine und Angewandte Mathematik
3 International Journal of Mathematics
3 Mémoires de la Société Mathématique de France. Nouvelle Série
3 International Journal of Number Theory
2 Discrete Applied Mathematics
2 Discrete Mathematics
2 Manuscripta Mathematica
2 Monatshefte für Mathematik
2 Nagoya Mathematical Journal
2 Rendiconti del Seminario Matematico della Università di Padova
2 Discrete & Computational Geometry
2 Bulletin of the American Mathematical Society. New Series
2 Indagationes Mathematicae. New Series
2 Cybernetics and Systems Analysis
2 Journal de Théorie des Nombres de Bordeaux
2 Kyushu Journal of Mathematics
2 The Ramanujan Journal
2 LMS Journal of Computation and Mathematics
2 Science China. Mathematics
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 Beiträge zur Algebra und Geometrie
1 Archiv der Mathematik
1 Czechoslovak Mathematical Journal
1 Glasgow Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Combinatorial Theory. Series A
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 The Journal of Symbolic Logic
1 Mathematika
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Proceedings of the Japan Academy. Series A
1 Proceedings of the London Mathematical Society. Third Series
1 Programming and Computer Software
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Results in Mathematics
1 Theoretical Computer Science
1 Tohoku Mathematical Journal. Second Series
1 Annals of Global Analysis and Geometry
1 Journal of Symbolic Computation
1 Journal of Complexity
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Algebraic Geometry
1 Selecta Mathematica. New Series
1 Sbornik: Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Journal of Dynamical and Control Systems
1 Journal of High Energy Physics
1 Integers
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Algebra & Number Theory
1 Cryptography and Communications
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications

Citations by Year