Scott Ahlgren

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	The Shimura lift and congruences for modular forms with the eta multiplier	2024	Scott Ahlgren Nickolas Andersen Robert Dicks
+ PDF Chat	Scarcity of congruences for the partition function	2023	Scott Ahlgren Olivia Beckwith Martin Raum
+	The Shimura lift and congruences for modular forms with the eta multiplier	2023	Scott Ahlgren Nickolas Andersen Robert Dicks
+ PDF Chat	Congruences like Atkin’s for the partition function	2022	Scott Ahlgren Patrick B. Allen Shiang Tang
+	Congruences like Atkin's for the partition function	2021	Scott Ahlgren Patrick B. Allen Shiang Tang
+	Scarcity of congruences for the partition function	2020	Scott Ahlgren Olivia Beckwith Martin Raum
+ PDF Chat	Dissections of Strange q-Series	2019	Scott Ahlgren Byungchan Kim Jeremy Lovejoy
+ PDF Chat	Dissections of Strange q-Series	2019	Scott Ahlgren Byungchan Kim Jeremy Lovejoy
+ PDF Chat	Maass forms and the mock theta function f(q)	2019	Scott Ahlgren Alexander R. Dunn
+ PDF Chat	A polyharmonic Maass form of depth 3/2 for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="normal">SL</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2018	Scott Ahlgren Nickolas Andersen Detchat Samart
+	Maass forms and the mock theta function $f(q)$	2018	Scott Ahlgren Alexander R. Dunn
+	Dissections of strange $q$-series	2018	Scott Ahlgren Byungchan Kim Jeremy Lovejoy
+	Maass forms and the mock theta function $f(q)$	2018	Scott Ahlgren Alexander R. Dunn
+	Congruences for a mock modular form on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="normal">SL</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and the smallest parts function	2017	Scott Ahlgren Byungchan Kim
+	A polyharmonic Maass form of depth 3/2 for SL_2(Z)	2017	Scott Ahlgren Nickolas Andersen Detchat Samart
+	Corrigendum to “Algebraic and transcendental formulas for the smallest parts function” [Adv. Math. 289 (2016) 411–437]	2017	Scott Ahlgren Nickolas Andersen
+	Congruences for a mock modular form on $\operatorname{SL}_2(\mathbb{Z})$ and the smallest parts function	2017	Scott Ahlgren Byungchan Kim
+	A polyharmonic Maass form of depth 3/2 for SL_2(Z)	2017	Scott Ahlgren Nickolas Andersen Detchat Samart
+ PDF Chat	Kloosterman Sums and Maass Cusp Forms of Half Integral Weight for the Modular Group	2016	Scott Ahlgren Nickolas Andersen
+	A note on cusp forms as p-adic limits	2016	Scott Ahlgren Detchat Samart
+	A note on cusp forms as $p$-adic limits	2016	Scott Ahlgren Detchat Samart
+	A note on cusp forms as $p$-adic limits	2016	Scott Ahlgren Detchat Samart
+	Algebraic and transcendental formulas for the smallest parts function	2015	Scott Ahlgren Nickolas Andersen
+	Kloosterman sums and Maass cusp forms of half integral weight for the modular group	2015	Scott Ahlgren Nickolas Andersen
+ PDF Chat	Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function	2015	Scott Ahlgren Nickolas Andersen
+ PDF Chat	Dissections of a "strange" function	2015	Scott Ahlgren Byungchan Kim
+	Algebraic and transcendental formulas for the smallest parts function	2015	Scott Ahlgren
+	Kloosterman sums and Maass cusp forms of half integral weight for the modular group	2015	Scott Ahlgren Nickolas Andersen
+ PDF Chat	Mock theta functions and weakly holomorphic modular forms modulo 2 and 3	2014	Scott Ahlgren Byungchan Kim
+ PDF Chat	Euler-like recurrences for smallest parts functions	2014	Scott Ahlgren Nickolas Andersen
+	Euler-like recurrences for smallest parts functions	2014	Scott Ahlgren Nickolas Andersen
+ PDF Chat	Hecke grids and congruences for weakly holomorphic modular forms	2014	Scott Ahlgren Nickolas Andersen
+	Dissections of a "strange" function	2014	Scott Ahlgren Byungchan Kim
+	Euler-like recurrences for smallest parts functions	2014	Scott Ahlgren Nickolas Andersen
+	Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function	2013	Scott Ahlgren Nickolas Andersen
+	Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function	2013	Scott Ahlgren Nickolas Andersen
+	Hecke grids and congruences for weakly holomorphic modular forms	2013	Scott Ahlgren Nickolas Andersen
+	Mock modular grids and Hecke relations for mock modular forms	2012	Scott Ahlgren Byungchan Kim
+	Topics in Number Theory: In Honor of B. Gordon and S. Chowla	2011	Scott Ahlgren George E. Andrews Ken Ono
+	Hecke relations for traces of singular moduli	2011	Scott Ahlgren
+	ℓ-adic properties of smallest parts functions	2011	Scott Ahlgren Kathrin Bringmann Jeremy Lovejoy
+ PDF Chat	Congruences for newforms and the index of the Hecke algebra	2010	Scott Ahlgren Jeremy Rouse
+	$\ell$-adic properties of smallest parts functions	2010	Scott Ahlgren Kathrin Bringmann Jeremy Lovejoy
+	$\ell$-adic properties of smallest parts functions	2010	Scott Ahlgren Kathrin Bringmann Jeremy Lovejoy
+	Critical L-values of Level p Newforms (mod p)	2009	Scott Ahlgren Jeremy Rouse
+ PDF Chat	Congruences for level four cusp forms	2009	Scott Ahlgren Dohoon Choi Jeremy Rouse
+	Vanishing of modular forms at infinity	2008	Scott Ahlgren Nadia Rose Masri Jeremy Rouse
+ PDF Chat	On the irreducibility of Hecke polynomials	2008	Scott Ahlgren
+ PDF Chat	Odd coefficients of weakly holomorphic modular forms	2008	Scott Ahlgren Matthew Boylan
+ PDF Chat	Rank generating functions as weakly holomorphic modular forms	2008	Scott Ahlgren Stephanie Treneer
+ PDF Chat	Central critical values of modular L -functions and coefficients of half-integral weight modular forms modulo ℓ	2007	Scott Ahlgren Matthew Boylan
+	Congruences for modular forms of weights two and four	2007	Scott Ahlgren Mugurel Barcau
+ PDF Chat	Arithmetic of singular moduli and class polynomials	2005	Scott Ahlgren Ken Ono
+	Addendum: Coefficients of half-integral weight modular forms modulo l^j: Coefficients of half-integral weight modular forms modulo l^j	2005	Scott Ahlgren Matthew Boylan
+	Addendum: Coefficients of half-integral weight modular forms modulo ?j	2004	Scott Ahlgren Matthew Boylan
+	Coefficients of half-integral weight modular forms modulo ?j	2004	Scott Ahlgren Matthew Boylan
+	The Arithmetic of Weierstrass Points on Modular Curves X 0 (p)	2004	Scott Ahlgren
+	Arithmetic properties of the partition function	2003	Scott Ahlgren Matthew Boylan
+	Weierstrass points on X 0 (p) and supersingular j-invariants	2003	Scott Ahlgren Ken Ono
+ PDF Chat	The theta-operator and the divisors of modular forms on genus zero subgroups	2003	Scott Ahlgren
+ PDF Chat	A congruence for the coefficients in a series for π	2003	Scott Ahlgren
+ PDF Chat	Higher Weierstrass points on $X_{0}(p)$	2002	Scott Ahlgren Matthew A. Papanikolas
+	Zeta functions of an infinite family of K 3 surfaces	2002	Scott Ahlgren Ken Ono David Penniston
+	None	2002	Scott Ahlgren Bruce C. Berndt Ae Ja Yee Alexandru Zaharescu
+	The Points of a Certain Fivefold over Finite Fields and the Twelfth Power of the Eta Function	2002	Scott Ahlgren
+	The arithmetic of partitions into distinct parts	2001	Scott Ahlgren Jeremy Lovejoy
+	Congruence properties for the partition function	2001	Scott Ahlgren Ken Ono
+	Multiplicative Relations in Powers of Euler's Product	2001	Scott Ahlgren
+	Gaussian Hypergeometric Series and Combinatorial Congruences	2001	Scott Ahlgren
+	Addition and counting: the arithmetic of partitions	2001	Scott Ahlgren Ken Ono
+	Congruences and conjectures for the partition function	2001	Scott Ahlgren Ken Ono
+	Distribution of the partition function modulo composite integers M	2000	Scott Ahlgren
+	Modularity of a Certain Calabi-Yau Threefold	2000	Scott Ahlgren Ken Ono
+	A Gaussian hypergeometric series evaluation and Apéry number congruences	2000	Scott Ahlgren Ken Ono
+	The sixth, eighth, ninth, and tenth powers of Ramanujan’s theta function	1999	Scott Ahlgren
+	Non‐vanishing of the partition function modulo odd primes <i>l</i>	1999	Scott Ahlgren
+	Distribution of parity of the partition function in arithmetic progressions	1999	Scott Ahlgren
+	Topics in Number Theory	1999	Scott Ahlgren George E. Andrews Ken Ono
+ PDF Chat	The set of solutions of a polynomial-exponential equation	1999	Scott Ahlgren
+ PDF Chat	A Binomial Coefficient Identity Associated to a Conjecture of Beukers	1998	Scott Ahlgren Shalosh B. Ekhad Ken Ono Doron Zeilberger
+	A binomial coefficient identity associated to a conjecture of Beukers	1998	Scott Ahlgren Shalosh B. Ekhad Ken Ono Doron Zeilberger
+	An Amusing Representation of x sinx	1997	Scott Ahlgren L. Q. English Ron Winters
+	Polynomial–Exponential Equations in Two Variables	1997	Scott Ahlgren

Common Coauthors

Coauthor	Papers Together
Nickolas Andersen	18
Ken Ono	12
Byungchan Kim	9
Matthew Boylan	6
Detchat Samart	6
Jeremy Rouse	4
Jeremy Lovejoy	4
Jeremy Lovejoy	3
Kathrin Bringmann	3
Alexander R. Dunn	3
George E. Andrews	2
Shalosh B. Ekhad	2
Olivia Beckwith	2
Shiang Tang	2
Martin Raum	2
Doron Zeilberger	2
Robert Dicks	2
Patrick B. Allen	2
L. Q. English	1
Dohoon Choi	1
Bruce C. Berndt	1
David Penniston	1
Ron Winters	1
Matthew A. Papanikolas	1
Alexandru Zaharescu	1
Nadia Rose Masri	1
Mugurel Barcau	1
Stephanie Treneer	1
Ae Ja Yee	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On Modular Forms of Half Integral Weight	1973	Goro Shimura	13
+ PDF Chat	Introduction to Elliptic Curves and Modular Forms	1993	Neal Koblitz	9
+	Hecke operators on ?0(m)	1970	A. O. L. Atkin Joseph Lehner	9
+	The number of smallest parts in the partitions of n	2008	George E. Andrews	8
+	On ℓ-adic representations and congruences for coefficients of modular forms (II)	1977	H. P. F. Swinnerton-Dyer	8
+ PDF Chat	Congruences for Andrews’ spt-function modulo powers of $5$, $7$ and $13$	2012	Frank G. Garvan	8
+ PDF Chat	On the explicit construction of higher deformations of partition statistics	2008	Kathrin Bringmann	8
+ PDF Chat	Distribution of the Partition Function Modulo m	2000	Ken Ono	8
+ PDF Chat	On the series for the partition function	1938	D. H. Lehmer	7
+	Congruence properties for the partition function	2001	Scott Ahlgren Ken Ono	7
+ PDF Chat	Unearthing the Visions of a Master: Harmonic Maass Forms and Number Theory	2008	Ken Ono	7
+	On the congruence of modular forms	1987	Jacob Sturm	7
+	On two geometric theta lifts	2004	Jan Hendrik Bruinier Jens Funke	7
+ PDF Chat	The <i>spt</i> -function of Andrews	2008	Amanda Folsom Ken Ono	7
+	Distribution of the partition function modulo composite integers M	2000	Scott Ahlgren	7
+ PDF Chat	The Selberg Trace Formula for PSL(2,ℝ)	1983	Dennis A. Hejhal	7
+	Arithmetic properties of the partition function	2003	Scott Ahlgren Matthew Boylan	7
+	Modular functions in analytic number theory	1970	Marvin I. Knopp	6
+	Mock modular grids and Hecke relations for mock modular forms	2012	Scott Ahlgren Byungchan Kim	6
+	Multiplicative Congruence Properties and Density Problems for <i>p(n)</i>	1968	A. O. L. Atkin	6
+	On the Partition Function <i>p</i> (<i>n</i> )	1938	Hans Rademacher	6
+	The f(q) mock theta function conjecture and partition ranks	2006	Kathrin Bringmann Ken Ono	6
+	Traces of singular moduli	2002	Don Zagier	6
+ PDF Chat	Introduction to Elliptic Curves and Modular Forms	1984	Neal Koblitz	6
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	6
+	Coefficients of half-integral weight modular forms	2003	Jan Hendrik Bruinier Ken Ono	6
+	On the Expansion of the Partition Function in a Series	1943	Hans Rademacher	5
+	Formes modulaires et fonctions zêta p-adiques	2009	Jean-Pierre Serre	5
+ PDF Chat	A sum connected with the series for the partition function	1956	Albert Leon Whiteman	5
+	Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂	2002	Henry Kim	4
+	The Web of Modularity: Arithmetic of the Coefficients of Modular Forms and 𝑞-series	2003	Ken Ono	4
+	Weierstrass Points at Cusps of Γ 0 (n)	1967	A. O. L. Atkin	4
+	Singular invariants and coefficients of weak harmonic Maass forms of weight 5/2	2014	Nickolas Andersen	4
+	Equidistribution of Heegner points and the partition function	2010	Amanda Folsom Riad Masri	4
+	Weierstrass Points of Γ 0 (n)	1964	Joseph Lehner M. F. Newman	4
+	A generalized Kohnen-Zagier formula for Maass forms	2010	Ehud Moshe Baruch Zhengyu Mao	4
+ PDF Chat	Real Quadratic Analogs of Traces of Singular Moduli	2010	William Duke Özlem Imamoğlu Árpád Tóth	4
+	Sur les coefficients de Fourier des formes modulaires de poids demi-entier	1981	J. L. Waldspurger	4
+ PDF Chat	On the Weierstrass points of $X_{0}(N)$	1978	A. P. Ogg	4
+ PDF Chat	Rank and crank moments for overpartitions	2009	Kathrin Bringmann Jeremy Lovejoy Robert Osburn	4
+	On the Theorems of Watson and Dragonette for Ramanujan's Mock Theta Functions	1966	George E. Andrews	4
+ PDF Chat	Dyson’s crank of a partition	1988	George E. Andrews Frank G. Garvan	4
+	Hyperbolic distribution problems and half-integral weight Maass forms	1988	William Duke	4
+	Congruences for the Andrews <i>spt</i> function	2010	Ken Ono	4
+ PDF Chat	Modular forms of half integral weight and the integral of certain theta-functions	1975	Shinji Niwa	4
+	Nonvanishing modulo ℓ of Fourier coefficients of half-integral weight modular forms	1999	Jan Hendrik Bruinier	4
+	Sums of Hecke Eigenvalues over Values of Quadratic Polynomials	2008	Valentin Blomer	4
+ PDF Chat	CONGRUENCES FOR THE COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS	2006	Stephanie Treneer	4
+	Values ofL-series of modular forms at the center of the critical strip	1981	Winfried Kohnen Don Zagier	4
+ PDF Chat	Congruence properties of partitions	1921	S. Ramanujan	4