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1

Newman's Short Proof of the Prime Number Theorem

Journal:

American Mathematical Monthly

Year:

1997

Language:

english

File:

PDF, 159 KB

english, 1997

2

A One-Sentence Proof That Every Prime p≡1(mod 4) Is a Sum of Two Squares

Journal:

American Mathematical Monthly

Year:

1990

Language:

english

File:

PDF, 203 KB

english, 1990

3

On the conjecture of Birch and Swinnerton-Dyer for an elliptic curve of rank $3$

Buhler, Joe P., Gross, Benedict H., Zagier, Don B.

Journal:

Mathematics of Computation

Year:

1985

Language:

english

File:

PDF, 615 KB

english, 1985

4

Heegner points and derivatives ofL-series

Benedict H. Gross, Don B. Zagier

Journal:

Inventiones mathematicae

Year:

1986

Language:

english

File:

PDF, 4.19 MB

english, 1986

5

A Property of Parallelograms Inscribed in Ellipses

Alain Connes and Don Zagier

Journal:

American Mathematical Monthly

Year:

2007

Language:

english

File:

PDF, 487 KB

english, 2007

6

Heegner points and derivatives ofL-series. II

B. Gross, W. Kohnen, D. Zagier

Journal:

Mathematische Annalen

Year:

1987

Language:

english

File:

PDF, 2.94 MB

english, 1987

7

On the Conjecture of Birch and Swinnerton-Dyer for an Elliptic Curve of Rank 3

Joe P. Buhler, Benedict H. Gross and Don B. Zagier

Journal:

Mathematics of Computation

Year:

1985

Language:

english

File:

PDF, 305 KB

english, 1985

8

New Looks at Old Number Theory

Aimeric Malter, Dierk Schleicher, Don Zagier

Journal:

American Mathematical Monthly

Year:

2013

Language:

english

File:

PDF, 338 KB

english, 2013

9

Newman's Short Proof of the Prime Number Theorem

Journal:

American Mathematical Monthly

Year:

1997

Language:

english

File:

PDF, 420 KB

english, 1997

10

Evaluation of the multiple zeta values zeta(2,...,2,3,2,...,2)

Journal:

Annals of Mathematics

Year:

2012

Language:

english

File:

PDF, 455 KB

english, 2012

11

Volumes of hyperbolic three-manifolds

Walter D. Neumann, Don Zagier

Journal:

Year:

1985

Language:

english

File:

PDF, 1.67 MB

english, 1985

12

A Converse to Cauchy's Inequality

Journal:

American Mathematical Monthly

Year:

1995

Language:

english

File:

PDF, 124 KB

english, 1995

13

How Often Should You Beat Your Kids?

Journal:

Mathematics Magazine

Year:

1990

Language:

english

File:

PDF, 344 KB

english, 1990

14

Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus

F. Hirzebruch, D. Zagier

Journal:

Inventiones mathematicae

Year:

1976

Language:

english

File:

PDF, 2.46 MB

english, 1976

15

Jacobi forms and the structure of Donaldson invariants for 4-manifolds with b+ = 1

L. Göttsche, D. Zagier

Journal:

Selecta Mathematica

Year:

1998

Language:

english

File:

PDF, 714 KB

english, 1998

16

The first 50 million prime numbers

Journal:

The Mathematical Intelligencer

Year:

1977

Language:

english

File:

PDF, 2.53 MB

english, 1977

17

Inequalities for the Gini coefficient of composite populations

Journal:

Journal of Mathematical Economics

Year:

1983

Language:

english

File:

PDF, 751 KB

english, 1983

18

Vassiliev invariants and a strange identity related to the Dedekind eta-function

Journal:

Year:

2001

Language:

english

File:

PDF, 165 KB

english, 2001

19

The Euler characteristic of the moduli space of curves

J. Harer, D. Zagier

Journal:

Inventiones mathematicae

Year:

1986

Language:

english

File:

PDF, 1.10 MB

english, 1986

20

Period Functions for Maass Wave Forms. I

J. Lewis and D. Zagier

Journal:

Annals of Mathematics

Year:

2001

Language:

english

File:

PDF, 4.31 MB

english, 2001

21

[Lecture Notes in Mathematics] Modular Functions of one Variable V Volume 601 || On ℓ-adic representations and congruences for coefficients of modular forms (II)

Serre, Jean-Pierre, Zagier, Don Bernard

Year:

1977

Language:

english

File:

PDF, 754 KB

english, 1977

22

[Lecture Notes in Mathematics] Modular Functions of one Variable V Volume 601 || A result on modular forms in characteristic p

Serre, Jean-Pierre, Zagier, Don Bernard

Year:

1977

Language:

english

File:

PDF, 385 KB

english, 1977

23

Hyperbolic manifolds and special values of Dedekind zeta-functions

Journal:

Inventiones mathematicae

Year:

1986

Language:

english

File:

PDF, 736 KB

english, 1986

24

Values ofL-series of modular forms at the center of the critical strip

W. Kohnen, D. Zagier

Journal:

Inventiones mathematicae

Year:

1981

Language:

english

File:

PDF, 1011 KB

english, 1981

25

The Hilbert modular group for the field ℚ((sqrt {13} ))

G. Geer, D. Zagier

Journal:

Inventiones mathematicae

Year:

1977

Language:

english

File:

PDF, 1.91 MB

english, 1977

26

Modular forms associated to real quadratic fields

Journal:

Inventiones mathematicae

Year:

1975

Language:

english

File:

PDF, 1.77 MB

english, 1975

27

On the zeros of the Weierstrass ℘-Function

M. Eichler, D. Zagier

Journal:

Mathematische Annalen

Year:

1982

Language:

english

File:

PDF, 314 KB

english, 1982

28

[Lecture Notes in Mathematics] Modular Functions of One Variable VI Volume 627 || The ring of hilbert modular forms for real quadratic fields of small discriminant

Serre, Jean-Pierre, Zagier, Don Bernard

Year:

1977

Language:

english

File:

PDF, 1.21 MB

english, 1977

29

[Lecture Notes in Mathematics] Modular Functions of One Variable VI Volume 627 || Modular forms of weight 1/2

Serre, Jean-Pierre, Zagier, Don Bernard

Year:

1977

Language:

english

File:

PDF, 1.30 MB

english, 1977

30

[Lecture Notes in Mathematics] Modular Functions of one Variable V Volume 601 || Galois representations attached to eigenforms with nebentypus

Serre, Jean-Pierre, Zagier, Don Bernard

Year:

1977

Language:

english

File:

PDF, 1.13 MB

english, 1977

31

[Progress in Mathematics] The Theory of Jacobi Forms Volume 55 ||

Eichler, Martin, Zagier, Don

Year:

1985

Language:

english

File:

PDF, 7.97 MB

english, 1985

32

CONGRUENCES MODULO POWERS OF 2 FOR THE SIGNATURE OF COMPLETE INTERSECTIONS

A. Libgober, J. Wood, D. Zagier

Year:

1980

Language:

english

File:

PDF, 315 KB

english, 1980

33

[Lecture Notes in Mathematics] Modular Functions of one Variable V Volume 601 || An icosahedral modular form of weight one

Serre, Jean-Pierre, Zagier, Don Bernard

Year:

1977

Language:

english

File:

PDF, 215 KB

english, 1977

34

[Lecture Notes in Mathematics] Modular Functions of One Variable VI Volume 627 || A lifting of modular forms in one variable to hilbert modular forms in two variables

Serre, Jean-Pierre, Zagier, Don Bernard

Year:

1977

Language:

english

File:

PDF, 775 KB

english, 1977

35

6625

Nicholas Strauss, Jeffrey Shallit and Don Zagier

Journal:

American Mathematical Monthly

Year:

1992

Language:

english

File:

PDF, 342 KB

english, 1992

36

[Lecture Notes in Mathematics] Modular Functions of one Variable V Volume 601 || Class fields and modular forms of weight one

Serre, Jean-Pierre, Zagier, Don Bernard

Year:

1977

Language:

english

File:

PDF, 407 KB

english, 1977

37

Lines on the Dwork quintic pencil and its higher degree analogues

Journal:

Journal Of Differential Geometry

Year:

2014

Language:

english

File:

PDF, 147 KB

english, 2014

38

Low-dimensional Topology and Number Theory

Gunnells, Paul, Neumann, Walter, Sikora, Adam, Zagier, Don

Journal:

Oberwolfach Reports

Year:

2018

Language:

english

File:

PDF, 800 KB

english, 2018

39

Low-Dimensional Topology and Number Theory

Gunnells, Paul, Neumann, Walter, Sikora, Adam, Zagier, Don

Journal:

Oberwolfach Reports

Year:

2012

Language:

english

File:

PDF, 552 KB

english, 2012

40

Jensen polynomials for the Riemann zeta function and other sequences

Griffin, Michael, Ono, Ken, Rolen, Larry, Zagier, Don

Journal:

Proceedings of the National Academy of Sciences

Year:

2019

Language:

english

File:

PDF, 813 KB

english, 2019

41

A Converse to Cauchy's Inequality

Journal:

American Mathematical Monthly

Year:

1995

Language:

english

File:

PDF, 319 KB

english, 1995

42

A Converse to Cauchy's Inequality

Journal:

American Mathematical Monthly

Year:

1995

File:

PDF, 319 KB

1995

43

A property of L-functions on the real line

H.M Stark, D Zagier

Journal:

Journal of Number Theory

Year:

1980

Language:

english

File:

PDF, 130 KB

english, 1980

44

A parametric family of quintic polynomials with Galois group D5

G. Roland, N. Yui, D. Zagier

Journal:

Journal of Number Theory

Year:

1982

Language:

english

File:

PDF, 215 KB

english, 1982

45

The Pontrjagin class of an orbit space

Journal:

Year:

1972

Language:

english

File:

PDF, 790 KB

english, 1972

46

Periods of modular forms and Jacobi theta functions

Journal:

Inventiones mathematicae

Year:

1991

Language:

english

File:

PDF, 702 KB

english, 1991

47

A Kronecker limit formula for real quadratic fields

Journal:

Mathematische Annalen

Year:

1975

Language:

english

File:

PDF, 1.31 MB

english, 1975

48

Higher dimensional dedekind sums

Journal:

Mathematische Annalen

Year:

1973

Language:

english

File:

PDF, 977 KB

english, 1973

49

Jacobi forms and a certain space of modular forms

Nils-Peter Skoruppa, Don Zagier

Journal:

Inventiones mathematicae

Year:

1988

Language:

english

File:

PDF, 1.41 MB

english, 1988

50

Relations among invariants of circle actions on three-manifolds

Journal:

Mathematische Annalen

Year:

1971-1972

Language:

english

File:

PDF, 402 KB

english, 1971-1972

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