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1

Modularity of a Certain Calabi-Yau Threefold

Scott Ahlgren, Ken Ono

Journal:

Monatshefte für Mathematik

Year:

2000

Language:

english

File:

PDF, 117 KB

english, 2000

2

Arithmetic properties of the partition function

Scott Ahlgren, Matthew Boylan

Journal:

Inventiones mathematicae

Year:

2003

Language:

english

File:

PDF, 259 KB

english, 2003

3

Zeta Functions of an Infinite Family of K3 Surfaces

Scott Ahlgren, Ken Ono and David Penniston

Journal:

American Journal of Mathematics

Year:

2002

Language:

english

File:

PDF, 1.05 MB

english, 2002

4

Mock theta functions and weakly holomorphic modular forms modulo 2 and 3

AHLGREN, SCOTT, KIM, BYUNGCHAN

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2015

Language:

english

File:

PDF, 296 KB

english, 2015

5

An Amusing Representation of$\frac{x}{\sin x}$

Scott Ahlgren, Lars English and Ron Winters

Journal:

American Mathematical Monthly

Year:

1997

Language:

english

File:

PDF, 308 KB

english, 1997

6

Central Critical Values of Modular L-Functions and Coefficients of Half-Integral Weight Modular Forms Modulo l

Scott Ahlgren and Matthew Boylan

Journal:

American Journal of Mathematics

Year:

2007

Language:

english

File:

PDF, 2.40 MB

english, 2007

7

Polynomial–Exponential Equations in Two Variables

Scott D. Ahlgren

Journal:

Journal of Number Theory

Year:

1997

Language:

english

File:

PDF, 1.04 MB

english, 1997

8

Arithmetic of singular moduli and class polynomials

Ahlgren, Scott, Ono, Ken

Journal:

Compositio Mathematica

Year:

2005

Language:

english

File:

PDF, 323 KB

english, 2005

9

Euler-like recurrences for smallest parts functions

Ahlgren, Scott, Andersen, Nickolas

Journal:

The Ramanujan Journal

Year:

2015

Language:

english

File:

PDF, 157 KB

english, 2015

10

Dissections of a "strange" function

Ahlgren, Scott, Kim, Byungchan

Journal:

International Journal of Number Theory

Year:

2015

Language:

english

File:

PDF, 113 KB

english, 2015

11

Maass forms and the mock theta function f(q)

Ahlgren, Scott, Dunn, Alexander

Journal:

Mathematische Annalen

Year:

2019

Language:

english

File:

PDF, 595 KB

english, 2019

12

Weierstrass points onX0(p) and supersingularj-invariants

Scott Ahlgren, Ken Ono

Journal:

Mathematische Annalen

Year:

2003

Language:

english

File:

PDF, 180 KB

english, 2003

13

Zeta functions of an infinite family of K3 surfaces

Ahlgren, Scott D., Ono, Ken, Penniston, David

Journal:

American Journal of Mathematics

Year:

2002

Language:

english

File:

PDF, 217 KB

english, 2002

14

Central critical values of modular L -functions and coefficients of half-integral weight modular forms modulo â

Ahlgren, Scott D., Boylan, Matthew.

Journal:

American Journal of Mathematics

Year:

2007

File:

PDF, 569 KB

2007

15

Addendum: Coefficients of half-integral weight modular forms modulo ℓj

Scott Ahlgren, Matthew Boylan

Journal:

Mathematische Annalen

Year:

2005

Language:

english

File:

PDF, 74 KB

english, 2005

16

A note on cusp forms as p-adic limits

Ahlgren, Scott, Samart, Detchat

Journal:

Journal of Number Theory

Year:

2016

Language:

english

File:

PDF, 298 KB

english, 2016

17

Distribution of the partition function modulo composite integers M

Journal:

Mathematische Annalen

Year:

2000

Language:

english

File:

PDF, 76 KB

english, 2000

18

Algebraic and transcendental formulas for the smallest parts function

Ahlgren, Scott, Andersen, Nickolas

Journal:

Advances in Mathematics

Year:

2016

Language:

english

File:

PDF, 537 KB

english, 2016

19

On the Irreducibility of Hecke Polynomials

Journal:

Mathematics of Computation

Year:

2008

Language:

english

File:

PDF, 536 KB

english, 2008

20

Multiplicative Relations in Powers of Euler's Product

Journal:

Journal of Number Theory

Year:

2001

Language:

english

File:

PDF, 133 KB

english, 2001

21

An Amusing Representation of

Ahlgren, Scott, English, Lars, Winters, Ron

Journal:

American Mathematical Monthly

Year:

1997

Language:

english

File:

PDF, 357 KB

english, 1997

22

Corrigendum to “Algebraic and transcendental formulas for the smallest parts function” [Adv. Math. 289 (2016) 411–437]

Ahlgren, Scott, Andersen, Nickolas

Journal:

Advances in Mathematics

Year:

2017

Language:

english

File:

PDF, 155 KB

english, 2017

23

ℓ-adic properties of smallest parts functions

Scott Ahlgren, Kathrin Bringmann, Jeremy Lovejoy

Journal:

Advances in Mathematics

Year:

2011

Language:

english

File:

PDF, 156 KB

english, 2011

24

Coefficients of half-integral weight modular forms modulo ℓj

Scott Ahlgren, Matthew Boylan

Journal:

Mathematische Annalen

Year:

2005

Language:

english

File:

PDF, 202 KB

english, 2005

25

Congruences for modular forms of weights two and four

Scott Ahlgren, Mugurel Barcau

Journal:

Journal of Number Theory

Year:

2007

Language:

english

File:

PDF, 113 KB

english, 2007

26

Higher Weierstrass Points on X0(p)

Scott Ahlgren and Matthew Papanikolas

Journal:

Transactions of the American Mathematical Society

Year:

2003

Language:

english

File:

PDF, 1.24 MB

english, 2003

27

The Points of a Certain Fivefold over Finite Fields and the Twelfth Power of the Eta Function

Journal:

Finite Fields and Their Applications

Year:

2002

Language:

english

File:

PDF, 315 KB

english, 2002

28

Mock modular grids and Hecke relations for mock modular forms

Ahlgren, Scott, Kim, Byungchan

Journal:

Forum Mathematicum

Year:

2014

Language:

english

File:

PDF, 306 KB

english, 2014

29

Dissections of Strange q-Series

Ahlgren, Scott, Kim, Byungchan, Lovejoy, Jeremy

Journal:

Annals of Combinatorics

Year:

2019

Language:

english

File:

PDF, 371 KB

english, 2019

30

The arithmetic of partitions into distinct parts

Ahlgren, Scott, Lovejoy, Jeremy

Journal:

Year:

2001

Language:

english

File:

PDF, 357 KB

english, 2001

31

Discovery and Preclinical Validation of [ 11 C]AZ13153556, a Novel Probe for the Histamine Type 3 Receptor

Schou, Magnus, Varnäs, Katarina, Jureus, Anders, Ahlgren, Charlotte, Malmquist, Jonas, Häggkvist, Jenny, Tari, Lenke, Wesolowski, Steven S., Throner, Scott R., Brown, Dean G., Nilsson, Maria, Johnströ

Journal:

ACS Chemical Neuroscience

Year:

2016

Language:

english

File:

PDF, 3.37 MB

english, 2016

32

10.1155/S107379280211110X

Ahlgren, Scott, Berndt, Bruce, Yee, Ae, Zaharescu, Alexandru

Journal:

International Mathematics Research Notices

Year:

2002

Language:

english

File:

PDF, 188 KB

english, 2002

33

10.1090/S0002-9947-02-03204-X

Ahlgren, Scott, Papanikolas, Matthew

Journal:

Transactions of the American Mathematical Society

Year:

2003

File:

PDF, 428 KB

2003

34

and the smallest parts function

Ahlgren, Scott, Kim, Byungchan

Journal:

Journal of Number Theory

Year:

2017

Language:

english

File:

PDF, 212 KB

english, 2017

35

Distribution of parity of the partition function in arithmetic progressions

Journal:

Indagationes Mathematicae

Year:

1999

Language:

english

File:

PDF, 459 KB

english, 1999

36

10.1090/s0002-9939-99-05181-3

Journal:

Proceedings of the American Mathematical Society

Year:

2000

Language:

english

File:

PDF, 140 KB

english, 2000

37

Kloosterman Sums and Maass Cusp Forms of Half Integral Weight for the Modular Group

Ahlgren, Scott, Andersen, Nickolas

Journal:

International Mathematics Research Notices

Year:

2016

Language:

english

File:

PDF, 1.28 MB

english, 2016

38

Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function

Ahlgren, Scott, Andersen, Nickolas

Journal:

Research in Number Theory

Year:

2015

Language:

english

File:

PDF, 527 KB

english, 2015

39

Topics in Number Theory || Exponents of Class Groups of Quadratic Fields

Ahlgren, Scott D., Andrews, George E., Ono, Ken

Year:

1999

Language:

english

File:

PDF, 924 KB

english, 1999

40

Dissections of Strange q-Series

Ahlgren, Scott, Kim, Byungchan, Lovejoy, Jeremy

Journal:

Annals of Combinatorics

Year:

2019

File:

PDF, 371 KB

2019

41

The Sixth, Eighth, Ninth, and Tenth Powers of Ramanujan's Theta Function

Journal:

Proceedings of the American Mathematical Society

Year:

2000

Language:

english

File:

PDF, 202 KB

english, 2000

42

Risk Factors Associated With Acute Heart Failure During Liver Transplant Surgery

Mandell, M. Susan, Seres, Tamas, Lindenfeld, JoAnn, Biggins, Scott W., Chascsa, David, Ahlgren, Brian, Wachs, Michael, Bambha, Kiran M.

Journal:

Transplantation Journal

Year:

2015

Language:

english

File:

PDF, 196 KB

english, 2015

43

Congruences for newforms and the index of the Hecke algebra

Ahlgren, Scott, Rouse, Jeremy

Journal:

Proceedings of the American Mathematical Society

Year:

2011

File:

PDF, 526 KB

2011

44

On the irreducibility of Hecke polynomials

Journal:

Mathematics of Computation

Year:

2008

Language:

english

File:

PDF, 153 KB

english, 2008

45

A polyharmonic Maass form of depth 3/2 for

Ahlgren, Scott, Andersen, Nickolas, Samart, Detchat

Journal:

Journal of Mathematical Analysis and Applications

Year:

2018

Language:

english

File:

PDF, 520 KB

english, 2018

46

Non-vanishing of the partition function modulo odd primes l

Journal:

Year:

1999

Language:

english

File:

PDF, 323 KB

english, 1999

47

Vanishing of modular forms at infinity

Ahlgren, Scott, Masri, Nadia, Rouse, Jeremy

Journal:

Proceedings of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 193 KB

english, 2008

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