## Ahlgren, Scott D.

Compute Distance To:
 Author ID: ahlgren.scott-d Published as: Ahlgren, Scott; Ahlgren, Scott D. External Links: MGP
 Documents Indexed: 52 Publications since 1997 1 Contribution as Editor Reviewing Activity: 12 Reviews Co-Authors: 23 Co-Authors with 38 Joint Publications 581 Co-Co-Authors
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### Co-Authors

 15 single-authored 10 Ono, Ken 6 Andersen, Nickolas 5 Kim, Byungchan 4 Boylan, Matthew 4 Rouse, Jeremy A. 3 Lovejoy, Jeremy 2 Samart, Detchat 1 Andrews, George Eyre 1 Barcau, Mugurel A. 1 Berndt, Bruce Carl 1 Bringmann, Kathrin 1 Choi, Dohoon 1 Dunn, Alexander 1 Ekhad, Shalosh B. (computer) 1 English, Lars 1 Masri, Nadia 1 Papanikolas, Matthew A. 1 Penniston, David 1 Treneer, Stephanie 1 Winters, Ron 1 Yee, Ae Ja 1 Zaharescu, Alexandru 1 Zeilberger, Doron
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### Serials

 5 Journal of Number Theory 4 Mathematische Annalen 3 Acta Arithmetica 3 Proceedings of the American Mathematical Society 3 IMRN. International Mathematics Research Notices 3 Mathematical Research Letters 2 Advances in Mathematics 2 American Journal of Mathematics 2 Mathematika 1 American Mathematical Monthly 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics of Computation 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Transactions of the American Mathematical Society 1 Forum Mathematicum 1 Proceedings of the National Academy of Sciences of the United States of America 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 Finite Fields and their Applications 1 The Electronic Journal of Combinatorics 1 The Ramanujan Journal 1 Annals of Combinatorics 1 International Journal of Number Theory 1 Mathematics and its Applications (Dordrecht) 1 Research in Number Theory
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### Fields

 50 Number theory (11-XX) 6 Algebraic geometry (14-XX) 5 Combinatorics (05-XX) 5 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX)

### Citations contained in zbMATH Open

47 Publications have been cited 534 times in 361 Documents Cited by Year
A Gaussian hypergeometric series evaluation and Apéry number congruences. Zbl 0940.33002
Ahlgren, Scott; Ono, Ken
2000
Congruence properties for the partition function. Zbl 1114.11310
Ahlgren, Scott; Ono, Ken
2001
Arithmetic properties of the partition function. Zbl 1038.11067
Ahlgren, Scott; Boylan, Matthew
2003
Distribution of the partition function modulo composite integers $$M$$. Zbl 1007.11061
Ahlgren, Scott
2000
Gaussian hypergeometric series and combinatorial congruences. Zbl 1037.33016
Ahlgren, Scott
2001
Arithmetic of singular moduli and class polynomials. Zbl 1133.11036
Ahlgren, Scott; Ono, Ken
2005
The arithmetic of partitions into distinct parts. Zbl 1040.11073
Ahlgren, Scott; Lovejoy, Jeremy
2001
Distribution of parity of the partition function in arithmetic progressions. Zbl 1027.11079
Ahlgren, Scott
1999
Modularity of a certain Calabi-Yau threefold. Zbl 0999.11031
Ahlgren, Scott; Ono, Ken
2000
$$\ell$$-adic properties of smallest parts functions. Zbl 1268.11145
Ahlgren, Scott; Bringmann, Kathrin; Lovejoy, Jeremy
2011
The theta-operator and the divisors of modular forms on genus zero subgroups. Zbl 1149.11308
Ahlgren, Scott
2003
Algebraic and transcendental formulas for the smallest parts function. Zbl 1407.11058
Ahlgren, Scott; Andersen, Nickolas
2016
Zeta functions of an infinite family of $$K3$$ surfaces. Zbl 1065.14023
Ahlgren, Scott; Ono, Ken; Penniston, David
2002
Addition and counting: The arithmetic of partitions. Zbl 1024.11063
Ahlgren, Scott; Ono, Ken
2001
The points of a certain fivefold over finite fields and the twelfth power of the eta function. Zbl 1026.11053
Ahlgren, Scott
2002
The sixth, eighth, ninth, and tenth powers of Ramanujan’s theta function. Zbl 0953.11006
Ahlgren, Scott
2000
Coefficients of half-integral weight modular forms modulo $$\ell^{ j }$$. Zbl 1082.11023
Ahlgren, Scott; Boylan, Matthew
2005
Rank generating functions as weakly holomorphic modular forms. Zbl 1234.11059
Ahlgren, Scott; Treneer, Stephanie
2008
Weierstrass points on $$X_0(p)$$ and supersingular $$j$$-invariants. Zbl 1077.11048
Ahlgren, Scott; Ono, Ken
2003
Dissections of a “strange” function. Zbl 1325.05030
Ahlgren, Scott; Kim, Byungchan
2015
Congruences and conjectures for the partition function. Zbl 1009.11059
Ahlgren, Scott; Ono, Ken
2001
A binomial coefficient identity associated to a conjecture of Beukers. Zbl 0885.05017
Ahlgren, Scott; Ekhad, Shalosh B.; Ono, Ken; Zeilberger, Doron
1998
Mock modular grids and Hecke relations for mock modular forms. Zbl 1297.11029
Ahlgren, Scott; Kim, Byungchan
2014
Kloosterman sums and Maass cusp forms of half integral weight for the modular group. Zbl 1453.11102
Ahlgren, Scott; Andersen, Nickolas
2018
On the irreducibility of Hecke polynomials. Zbl 1220.11059
Ahlgren, Scott
2008
Central critical values of modular $$L$$-functions and coefficients of half-integral weight modular forms modulo $$\ell$$. Zbl 1154.11017
Ahlgren, Scott; Boylan, Matthew
2007
Odd coefficients of weakly holomorphic modular forms. Zbl 1234.11056
Ahlgren, Scott; Boylan, Matthew
2008
Euler-like recurrences for smallest parts functions. Zbl 1380.11042
Ahlgren, Scott; Andersen, Nickolas
2015
Integrals of Eisenstein series and derivatives of $$L$$-functions. Zbl 1086.11023
Ahlgren, Scott; Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru
2002
Hecke relations for traces of singular moduli. Zbl 1268.11056
Ahlgren, Scott
2012
Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function. Zbl 1379.11054
Ahlgren, Scott; Andersen, Nickolas
2015
Congruences for modular forms of weights two and four. Zbl 1144.11036
Ahlgren, Scott; Barcau, Mugurel
2007
Vanishing of modular forms at infinity. Zbl 1214.11052
Ahlgren, Scott; Masri, Nadia; Rouse, Jeremy
2009
A polyharmonic Maass form of depth 3/2 for $$\mathrm{SL}_2(\mathbb{Z})$$. Zbl 1444.11081
Ahlgren, Scott; Andersen, Nickolas; Samart, Detchat
2018
Higher Weierstrass points on $$X_{0}(p)$$. Zbl 1114.11056
Ahlgren, Scott; Papanikolas, Matthew
2003
Congruences for level four cusp forms. Zbl 1270.11047
Ahlgren, Scott; Choi, Dohoon; Rouse, Jeremy
2009
Mock theta functions and weakly holomorphic modular forms modulo $$2$$ and $$3$$. Zbl 1371.11086
Ahlgren, Scott; Kim, Byungchan
2015
Dissections of strange $$q$$-series. Zbl 1436.33014
Ahlgren, Scott; Kim, Byungchan; Lovejoy, Jeremy
2019
Hecke grids and congruences for weakly holomorphic modular forms. Zbl 1375.11045
Ahlgren, Scott; Andersen, Nickolas
2014
Non-vanishing of the partition function modulo odd primes $$l$$. Zbl 0993.11053
Ahlgren, Scott
1999
Critical $$L$$-values of level $$p$$ newforms (mod $$p$$). Zbl 1196.11070
Ahlgren, Scott; Rouse, Jeremy
2010
Multiplicative relations in powers of Euler’s product. Zbl 0981.11017
Ahlgren, Scott
2001
The arithmetic of Weierstrass points on modular curves $$X_0(p)$$. Zbl 1058.14037
Ahlgren, Scott
2004
Congruences for a mock modular form on $$\mathrm{SL}_2(\mathbb{Z})$$ and the smallest parts function. Zbl 1447.11059
Ahlgren, Scott; Kim, Byungchan
2018
Maass forms and the mock theta function $$f(q)$$. Zbl 1454.11080
Ahlgren, Scott; Dunn, Alexander
2019
Equations $$F(x,y,\alpha^x)=0$$. Zbl 0949.11021
Ahlgren, Scott
1999
A note on cusp forms as $$p$$-adic limits. Zbl 1401.11090
Ahlgren, Scott; Samart, Detchat
2016
Dissections of strange $$q$$-series. Zbl 1436.33014
Ahlgren, Scott; Kim, Byungchan; Lovejoy, Jeremy
2019
Maass forms and the mock theta function $$f(q)$$. Zbl 1454.11080
Ahlgren, Scott; Dunn, Alexander
2019
Kloosterman sums and Maass cusp forms of half integral weight for the modular group. Zbl 1453.11102
Ahlgren, Scott; Andersen, Nickolas
2018
A polyharmonic Maass form of depth 3/2 for $$\mathrm{SL}_2(\mathbb{Z})$$. Zbl 1444.11081
Ahlgren, Scott; Andersen, Nickolas; Samart, Detchat
2018
Congruences for a mock modular form on $$\mathrm{SL}_2(\mathbb{Z})$$ and the smallest parts function. Zbl 1447.11059
Ahlgren, Scott; Kim, Byungchan
2018
Algebraic and transcendental formulas for the smallest parts function. Zbl 1407.11058
Ahlgren, Scott; Andersen, Nickolas
2016
A note on cusp forms as $$p$$-adic limits. Zbl 1401.11090
Ahlgren, Scott; Samart, Detchat
2016
Dissections of a “strange” function. Zbl 1325.05030
Ahlgren, Scott; Kim, Byungchan
2015
Euler-like recurrences for smallest parts functions. Zbl 1380.11042
Ahlgren, Scott; Andersen, Nickolas
2015
Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function. Zbl 1379.11054
Ahlgren, Scott; Andersen, Nickolas
2015
Mock theta functions and weakly holomorphic modular forms modulo $$2$$ and $$3$$. Zbl 1371.11086
Ahlgren, Scott; Kim, Byungchan
2015
Mock modular grids and Hecke relations for mock modular forms. Zbl 1297.11029
Ahlgren, Scott; Kim, Byungchan
2014
Hecke grids and congruences for weakly holomorphic modular forms. Zbl 1375.11045
Ahlgren, Scott; Andersen, Nickolas
2014
Hecke relations for traces of singular moduli. Zbl 1268.11056
Ahlgren, Scott
2012
$$\ell$$-adic properties of smallest parts functions. Zbl 1268.11145
Ahlgren, Scott; Bringmann, Kathrin; Lovejoy, Jeremy
2011
Critical $$L$$-values of level $$p$$ newforms (mod $$p$$). Zbl 1196.11070
Ahlgren, Scott; Rouse, Jeremy
2010
Vanishing of modular forms at infinity. Zbl 1214.11052
Ahlgren, Scott; Masri, Nadia; Rouse, Jeremy
2009
Congruences for level four cusp forms. Zbl 1270.11047
Ahlgren, Scott; Choi, Dohoon; Rouse, Jeremy
2009
Rank generating functions as weakly holomorphic modular forms. Zbl 1234.11059
Ahlgren, Scott; Treneer, Stephanie
2008
On the irreducibility of Hecke polynomials. Zbl 1220.11059
Ahlgren, Scott
2008
Odd coefficients of weakly holomorphic modular forms. Zbl 1234.11056
Ahlgren, Scott; Boylan, Matthew
2008
Central critical values of modular $$L$$-functions and coefficients of half-integral weight modular forms modulo $$\ell$$. Zbl 1154.11017
Ahlgren, Scott; Boylan, Matthew
2007
Congruences for modular forms of weights two and four. Zbl 1144.11036
Ahlgren, Scott; Barcau, Mugurel
2007
Arithmetic of singular moduli and class polynomials. Zbl 1133.11036
Ahlgren, Scott; Ono, Ken
2005
Coefficients of half-integral weight modular forms modulo $$\ell^{ j }$$. Zbl 1082.11023
Ahlgren, Scott; Boylan, Matthew
2005
The arithmetic of Weierstrass points on modular curves $$X_0(p)$$. Zbl 1058.14037
Ahlgren, Scott
2004
Arithmetic properties of the partition function. Zbl 1038.11067
Ahlgren, Scott; Boylan, Matthew
2003
The theta-operator and the divisors of modular forms on genus zero subgroups. Zbl 1149.11308
Ahlgren, Scott
2003
Weierstrass points on $$X_0(p)$$ and supersingular $$j$$-invariants. Zbl 1077.11048
Ahlgren, Scott; Ono, Ken
2003
Higher Weierstrass points on $$X_{0}(p)$$. Zbl 1114.11056
Ahlgren, Scott; Papanikolas, Matthew
2003
Zeta functions of an infinite family of $$K3$$ surfaces. Zbl 1065.14023
Ahlgren, Scott; Ono, Ken; Penniston, David
2002
The points of a certain fivefold over finite fields and the twelfth power of the eta function. Zbl 1026.11053
Ahlgren, Scott
2002
Integrals of Eisenstein series and derivatives of $$L$$-functions. Zbl 1086.11023
Ahlgren, Scott; Berndt, Bruce C.; Yee, Ae Ja; Zaharescu, Alexandru
2002
Congruence properties for the partition function. Zbl 1114.11310
Ahlgren, Scott; Ono, Ken
2001
Gaussian hypergeometric series and combinatorial congruences. Zbl 1037.33016
Ahlgren, Scott
2001
The arithmetic of partitions into distinct parts. Zbl 1040.11073
Ahlgren, Scott; Lovejoy, Jeremy
2001
Addition and counting: The arithmetic of partitions. Zbl 1024.11063
Ahlgren, Scott; Ono, Ken
2001
Congruences and conjectures for the partition function. Zbl 1009.11059
Ahlgren, Scott; Ono, Ken
2001
Multiplicative relations in powers of Euler’s product. Zbl 0981.11017
Ahlgren, Scott
2001
A Gaussian hypergeometric series evaluation and Apéry number congruences. Zbl 0940.33002
Ahlgren, Scott; Ono, Ken
2000
Distribution of the partition function modulo composite integers $$M$$. Zbl 1007.11061
Ahlgren, Scott
2000
Modularity of a certain Calabi-Yau threefold. Zbl 0999.11031
Ahlgren, Scott; Ono, Ken
2000
The sixth, eighth, ninth, and tenth powers of Ramanujan’s theta function. Zbl 0953.11006
Ahlgren, Scott
2000
Distribution of parity of the partition function in arithmetic progressions. Zbl 1027.11079
Ahlgren, Scott
1999
Non-vanishing of the partition function modulo odd primes $$l$$. Zbl 0993.11053
Ahlgren, Scott
1999
Equations $$F(x,y,\alpha^x)=0$$. Zbl 0949.11021
Ahlgren, Scott
1999
A binomial coefficient identity associated to a conjecture of Beukers. Zbl 0885.05017
Ahlgren, Scott; Ekhad, Shalosh B.; Ono, Ken; Zeilberger, Doron
1998
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### Cited by 344 Authors

 18 Ahlgren, Scott D. 16 Ono, Ken 10 Bringmann, Kathrin 10 Choi, Dohoon 10 Long, Ling 9 Garvan, Frank G. 8 Andersen, Nickolas 8 Barman, Rupam 8 Lovejoy, Jeremy 8 McCarthy, Dermot 7 Kim, Byungchan 7 Osburn, Robert 7 Zudilin, Wadim 6 Guerzhoy, Pavel I. 6 Kalita, Gautam 6 Mortenson, Eric T. 6 Richter, Olav K. 6 Straub, Armin 6 Swisher, Holly 6 Tu, Fang-Ting 5 Bruinier, Jan Hendrik 5 Jennings-Shaffer, Chris 5 Penniston, David 5 Rolen, Larry 5 Webb, John J. B. 4 Berndt, Bruce Carl 4 Chan, Heichi 4 Chen, Shichao 4 Fuselier, Jenny G. 4 Goodson, Heidi 4 Lim, Subong 4 Lin, Bernard L. S. 4 Liu, Jicai 4 Pan, Hao 4 Saikia, Neelam 4 Wang, Liuquan 4 Wei, Chuanan 4 Xia, Ernest X. W. 4 Zaharescu, Alexandru 3 Boylan, Matthew 3 Chan, Heng Huat 3 Dai, Haobo 3 Dawsey, Madeline Locus 3 El-Guindy, Ahmad 3 Garthwaite, Sharon Anne 3 Guo, Victor J. W. 3 He, Bing 3 Jameson, Marie 3 Kane, Ben 3 Kang, Soon-Yi 3 Kent, Zachary A. 3 Luo, Qiuming 3 Mao, Renrong 3 Masri, Riad 3 Papanikolas, Matthew A. 3 Radu, Cristian-Silviu 3 Samart, Detchat 3 Schwagenscheidt, Markus 3 Sun, Zhi-Wei 3 Tripathi, Mohit 3 Vincent, Christelle 3 Yang, Yifan 3 Yee, Ae Ja 3 Zanello, Fabrizio 2 Andrews, George Eyre 2 Brown, Jim L. 2 Chen, William Yong-Chuan 2 Choi, Yunseo 2 Choie, YoungJu 2 Deines-Schartz, Alyson 2 Dewar, Michael C. 2 Dicks, Robert 2 Dou, Donna Quan Jie 2 Dunn, Alexander 2 Evans, Ronald J. 2 Folsom, Amanda L. 2 Ge, Ji-Ke 2 Gomez, Kevin 2 Goswami, Ankush 2 Hou, Qinghu 2 James, Kevin 2 Judge, Samuel D. 2 Keith, William J. 2 Kilford, Lloyd James Peter 2 Kim, Chang Heon 2 Kronholm, Brandt 2 Liu, Zhi-Guo 2 Löbrich, Steffen 2 Malik, Amita 2 Mansour, Toufik 2 Mao, Guo-Shuai 2 Matsusaka, Toshiki 2 Meher, Jaban 2 Merca, Mircea 2 Mertens, Michael Helmut 2 Nicolas, Jean-Louis 2 Pak, Igor 2 Paule, Peter 2 Schneider, Carsten 2 Singh, Sujeet Kumar ...and 244 more Authors
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### Cited in 66 Serials

 52 The Ramanujan Journal 44 Journal of Number Theory 38 International Journal of Number Theory 35 Proceedings of the American Mathematical Society 17 Advances in Mathematics 15 Transactions of the American Mathematical Society 14 Research in Number Theory 12 Research in the Mathematical Sciences 9 Journal of Mathematical Analysis and Applications 8 Journal of Combinatorial Theory. Series A 6 Proceedings of the National Academy of Sciences of the United States of America 6 Annals of Combinatorics 5 Mathematische Zeitschrift 5 Finite Fields and their Applications 4 Bulletin of the Australian Mathematical Society 4 Mathematics of Computation 4 Mathematische Annalen 4 Results in Mathematics 4 Forum Mathematicum 4 Mathematics 3 Discrete Mathematics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Acta Arithmetica 3 Journal für die Reine und Angewandte Mathematik 3 Journal de Théorie des Nombres de Bordeaux 2 Rocky Mountain Journal of Mathematics 2 Annales de l’Institut Fourier 2 Archiv der Mathematik 2 Mathematika 2 Expositiones Mathematicae 2 Journal of High Energy Physics 2 Integers 2 Advances in Difference Equations 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Science China. Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Israel Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Reports on Mathematical Physics 1 Colloquium Mathematicum 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Journal of Symbolic Computation 1 Constructive Approximation 1 Journal of the Ramanujan Mathematical Society 1 International Journal of Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Knot Theory and its Ramifications 1 The Electronic Journal of Combinatorics 1 Journal of Difference Equations and Applications 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Cosmology and Astroparticle Physics 1 Journal de l’École Polytechnique – Mathématiques 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 DML. Discrete Mathematics Letters 1 Electronic Research Archive
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### Cited in 22 Fields

 341 Number theory (11-XX) 88 Special functions (33-XX) 87 Combinatorics (05-XX) 22 Algebraic geometry (14-XX) 5 Integral transforms, operational calculus (44-XX) 4 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX)