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1

Hecke operators and an identity for the dedekind sums

Marvin I. Knopp

Journal:

Journal of Number Theory

Year:

1980

Language:

english

File:

PDF, 306 KB

english, 1980

2

PARABOLIC GENERALIZED MODULAR FORMS AND THEIR CHARACTERS

KNOPP, MARVIN, MASON, GEOFFREY

Journal:

International Journal of Number Theory

Year:

2009

Language:

english

File:

PDF, 191 KB

english, 2009

3

REVISIONS TO "PARABOLIC GENERALIZED MODULAR FORMS AND THEIR CHARACTERS"

KNOPP, MARVIN, MASON, GEOFFREY

Journal:

International Journal of Number Theory

Year:

2012

Language:

english

File:

PDF, 111 KB

english, 2012

4

EICHLER COHOMOLOGY FOR GENERALIZED MODULAR FORMS

KNOPP, MARVIN, LEHNER, JOSEPH, RAJI, WISSAM

Journal:

International Journal of Number Theory

Year:

2009

Language:

english

File:

PDF, 183 KB

english, 2009

5

Generalized modular forms

Marvin Knopp, Geoffrey Mason

Journal:

Journal of Number Theory

Year:

2003

Language:

english

File:

PDF, 280 KB

english, 2003

6

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || On the representation of the summatory functions of a class of arithmetical functions

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 506 KB

english, 1981

7

On Dirichlet series satisfying Riemann's functional equation

Marvin I. Knopp

Journal:

Inventiones mathematicae

Year:

1994

Language:

english

File:

PDF, 503 KB

english, 1994

8

Some New Old-Fashioned Modular Identities

Paul T. Bateman, Marvin I. Knopp

Journal:

The Ramanujan Journal

Year:

1998

Language:

english

File:

PDF, 111 KB

english, 1998

9

Logarithmic vector-valued modular forms and polynomial-growth estimates of their Fourier coefficients

Marvin Knopp, Geoffrey Mason

Journal:

The Ramanujan Journal

Year:

2012

Language:

english

File:

PDF, 456 KB

english, 2012

10

[Developments in Mathematics] From Fourier Analysis and Number Theory to Radon Transforms and Geometry Volume 28 || Continuous Solutions of Linear Equations

Farkas, Hershel M., Gunning, Robert C., Knopp, Marvin I., Taylor, B. A.

Year:

2013

Language:

english

File:

PDF, 541 KB

english, 2013

11

On Generalized Abelian Integrals of the Second Kind and Modular Forms of Dimension Zero

Marvin Isadore Knopp

Journal:

American Journal of Mathematics

Year:

1964

Language:

english

File:

PDF, 856 KB

english, 1964

12

On Abelian Integrals of the Second Kind and Modular Functions

Marvin Isadore Knopp

Journal:

American Journal of Mathematics

Year:

1962

Language:

english

File:

PDF, 1.07 MB

english, 1962

13

A Corona Theorem for Automorphic Forms and Related Results

Marvin I. Knopp

Journal:

American Journal of Mathematics

Year:

1969

Language:

english

File:

PDF, 1.38 MB

english, 1969

14

EICHLER COHOMOLOGY FOR GENERALIZED MODULAR FORMS II

KNOPP, MARVIN, RAJI, WISSAM

Journal:

International Journal of Number Theory

Year:

2010

Language:

english

File:

PDF, 143 KB

english, 2010

15

automorphic forms of dimension zero

Knopp, Marvin Isadore

Journal:

Duke Mathematical Journal

Year:

1960

Language:

english

File:

PDF, 727 KB

english, 1960

16

Two algorithms for closed horocycles on the modular surface

Knopp, Marvin, Sheingorn, Mark

Journal:

The Ramanujan Journal

Year:

2016

Language:

english

File:

PDF, 310 KB

english, 2016

17

Rational period functions of the modular group II

Knopp, Marvin I.

Journal:

Glasgow Mathematical Journal

Year:

1981

Language:

english

File:

PDF, 509 KB

english, 1981

18

On Groups Related to the Hecke Groups

Marvin I. Knopp and Morris Newman

Journal:

Proceedings of the American Mathematical Society

Year:

1993

Language:

english

File:

PDF, 149 KB

english, 1993

19

Easy Proofs of Riemann's Functional Equation for ζ(s) and of Lipschitz Summation

Marvin Knopp and Sinai Robins

Journal:

Proceedings of the American Mathematical Society

Year:

2001

Language:

english

File:

PDF, 222 KB

english, 2001

20

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || On the second largest prime divisor of an odd perfect number

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 319 KB

english, 1981

21

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || On polygon groups

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 289 KB

english, 1981

22

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || Gaps in the Fourier series of automorphic forms

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 558 KB

english, 1981

23

Construction of Jacobi forms

YoungJu Choie, Hyunkwang Kim, Marvin Knopp

Journal:

Mathematische Zeitschrift

Year:

1995

Language:

english

File:

PDF, 225 KB

english, 1995

24

[Developments in Mathematics] From Fourier Analysis and Number Theory to Radon Transforms and Geometry Volume 28 || The Legacy of Leon Ehrenpreis

Farkas, Hershel M., Gunning, Robert C., Knopp, Marvin I., Taylor, B. A.

Year:

2013

Language:

english

File:

PDF, 87 KB

english, 2013

25

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || Mordell integrals and Ramanujan's “lost” notebook

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 954 KB

english, 1981

26

[Developments in Mathematics] From Fourier Analysis and Number Theory to Radon Transforms and Geometry Volume 28 || Analysis of Degenerate Diffusion Operators Arising in Population Biology

Farkas, Hershel M., Gunning, Robert C., Knopp, Marvin I., Taylor, B. A.

Year:

2013

Language:

english

File:

PDF, 185 KB

english, 2013

27

Construction of Automorphic Forms on H-Groups and Supplementary Fourier Series

Marvin Isadore Knopp

Journal:

Transactions of the American Mathematical Society

Year:

1962

Language:

english

File:

PDF, 436 KB

english, 1962

28

[Developments in Mathematics] From Fourier Analysis and Number Theory to Radon Transforms and Geometry Volume 28 ||

Farkas, Hershel M., Gunning, Robert C., Knopp, Marvin I., Taylor, B. A.

Year:

2013

Language:

english

File:

PDF, 4.87 MB

english, 2013

29

On the growth of entire automorphic integrals

Marvin I. Knopp

Journal:

Results in Mathematics

Year:

1985

Language:

english

File:

PDF, 656 KB

english, 1985

30

Correction to "Construction of Automorphic Forms on H-Groups and Supplementary Fourier Series"

Marvin Isadore Knopp

Journal:

Transactions of the American Mathematical Society

Year:

1963

Language:

english

File:

PDF, 329 KB

english, 1963

31

[Contemporary Mathematics] A Tribute to Emil Grosswald: Number Theory and Related Analysis Volume 143 || Hypergeometric and modular function identities, and new rational approximations to and continued fraction expansions of classical constants and functions

Knopp, Marvin, Sheingorn, Mark

Year:

1993

Language:

english

File:

PDF, 2.95 MB

english, 1993

32

[Contemporary Mathematics] A Tribute to Emil Grosswald: Number Theory and Related Analysis Volume 143 || Combinatorial equivalence of definitions of the Schur function

Knopp, Marvin, Sheingorn, Mark

Year:

1993

Language:

english

File:

PDF, 545 KB

english, 1993

33

[Developments in Mathematics] From Fourier Analysis and Number Theory to Radon Transforms and Geometry Volume 28 || Duality and Differential Operators for Harmonic Maass Forms

Farkas, Hershel M., Gunning, Robert C., Knopp, Marvin I., Taylor, B. A.

Year:

2013

Language:

english

File:

PDF, 285 KB

english, 2013

34

A Note on Subgroups of the Modular Group

Marvin Isadore Knopp

Journal:

Proceedings of the American Mathematical Society

Year:

1963

Language:

english

File:

PDF, 141 KB

english, 1963

35

Polynomial Automorphic Forms and Nondiscontinuous Groups

Marvin Isadore Knopp

Journal:

Transactions of the American Mathematical Society

Year:

1966

Language:

english

File:

PDF, 1.62 MB

english, 1966

36

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || A complement to Rident's P-adic generalization of the Thue-Siegel-Roth theorem

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 290 KB

english, 1981

37

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || Analysis on positive matrices as it might have occurred to Fourier

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 1.20 MB

english, 1981

38

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || Cyclotomy for non-squarefree modul I

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 613 KB

english, 1981

39

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || Best Diophantine approximations for ternary linear forms, II

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 220 KB

english, 1981

40

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || The next Pellian equation

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 231 KB

english, 1981

41

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || Computations and generalizations on a remark of Ramanujan

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 386 KB

english, 1981

42

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || Waring's problem for sets of density zero

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 283 KB

english, 1981

43

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || Sequences without arithmetic progressions

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 128 KB

english, 1981

44

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || Bounding the norm of the Poincaré θ-operator

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 590 KB

english, 1981

45

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || Modular functions revisited

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 555 KB

english, 1981

46

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || Ramanujan congruences for q(n)

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 673 KB

english, 1981

47

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || Gaps in the Fourier series of automorphic forms II

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 414 KB

english, 1981

48

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || Gaps between consecutive zeta zeros

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 165 KB

english, 1981

49

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || The zeros of Hurwitz's zeta-function on σ=1/2

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 325 KB

english, 1981

50

[Lecture Notes in Mathematics] Analytic Number Theory Volume 899 || Oscillation theorems

Knopp, Marvin I.

Year:

1981

Language:

english

File:

PDF, 782 KB

english, 1981

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