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Publication Date Publication Date
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2016, ISBN 9780691170190, xiii, 229
We use addition on a daily basis--yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It... 
Mathematics | Number theory | General | Counting & Numeration | Number Theory | Popular works
Book
2013, Encyclopedia of mathematics and its applications, ISBN 9781107418578, Volume 150, xix, 368
"The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they... 
MATHEMATICS / Number Theory | Number theory | Lattice theory | Mathematics
Book
1990, Annals of mathematics studies, ISBN 9780691085999, Volume no. 124., ix, 430
Book
2016, ISBN 9783319282022, 552
This book collects more than thirty contributions in memory of Wolfgang Schwarz, most of which were presented at the seventh International Conference on... 
Mathematics | Number theory | Sequences (Mathematics) | History of Mathematical Sciences | Number Theory | Sequences, Series, Summability
eBook
2009, MAA guides, ISBN 9780883853474, Volume 5, x, 141
Book
2007, ISBN 9781568813233, xii, 232
Book
2004, Mathematical Association of America, ISBN 9780521546775, x, 306
..., exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics. 
Inequalities (Mathematics)
Book
2011, London Mathematical Society student texts, ISBN 1107002532, Volume 76, xvii, 287
.... The many applications provided include applications to sums of squares, sums of triangular numbers, recurrence relations for divisor functions, convolution sums involving the divisor functions, and many others... 
Liouville, Joseph, 1809-1882 | Number theory | Liouville, Joseph | 1809-1882
Book
2013, Discrete mathematics and its applications, ISBN 9781439873786, xxxv, 1033
"Preface The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference book for the theory and applications of nite elds. It is not... 
COMPUTERS / Security / Cryptography | MATHEMATICS / Combinatorics | MATHEMATICS / Number Theory | Finite fields (Algebra)
Book
2004, Colloquium publications, ISBN 9780821836330, Volume 53., xi, 615
Book
2012, University lecture series, ISBN 9780821853672, Volume 59, x, 190
Book
TAIWANESE JOURNAL OF MATHEMATICS, ISSN 1027-5487, 02/2019, Volume 23, Issue 1, pp. 11 - 27
..., where [n] = 1 + q + ... + q(n-1) and [(n)(k)] = Pi(k)(i=1) (1 - q(n-i+1))/(1-q(i)). This gives a q-analogue of some divisibility results of sums and alternating sums involving binomial coefficients and powers of integers obtained by Guo and Zeng... 
MATHEMATICS | q-binomial coefficients | Q-ANALOGS | q-super Catalan numbers | cyclotomic polynomial | q-ballot numbers | CONGRUENCES | q-Catalan numbers
Journal Article
2012, Graduate studies in mathematics, ISBN 0821889869, Volume 142., x, 187
Book
Discrete Applied Mathematics, ISSN 0166-218X, 07/2016, Volume 207, pp. 120 - 131
Journal Article
Pacific Journal of Mathematics, ISSN 0030-8730, 2014, Volume 272, Issue 1, pp. 201 - 226
Journal Article
The Ramanujan Journal, ISSN 1382-4090, 10/2018, Volume 47, Issue 1, pp. 67 - 84
.... For a nonnegative integer k, we study the number $$N_f(D,k,b)$$ Nf(D,k,b) of k-subsets S in D such that $$\begin{aligned} \sum _{x\in S} f(x)=b. \end{aligned}$$ ∑x∈Sf(x)=b. In this paper, we establish several bounds for the difference... 
Subset sum problem | Functions of a Complex Variable | Inclusion–exclusion | Field Theory and Polynomials | Character sums | Mathematics | Counting problems | 11T06 | Fourier Analysis | Number Theory | Combinatorics | 11T24 | 05A16 | Polynomial subset sums | 05A15 | EXPONENTIAL-SUMS | NUMBER | ALGEBRAIC-GEOMETRY CODES | FINITE-FIELDS | ENUMERATION | SUBGROUPS | POWERS | MATHEMATICS | PRIME-ORDER | PRODUCTS | BOUNDS | Inclusion-exclusion
Journal Article
1988, ISBN 0691084335, Volume no. 116., viii, 246
Book
Journal of Mathematical Physics, ISSN 0022-2488, 10/2011, Volume 52, Issue 10, pp. 102301 - 102301-52
The computation of Feynman integrals in massive higher order perturbative calculations in renormalizable quantum field theories requires extensions of multiply nested harmonic sums, which can be... 
ANALYTIC CONTINUATION | polynomials | NUMERICAL EVALUATION | PHYSICS, MATHEMATICAL | ALGEBRAIC RELATIONS | HYPERGEOMETRIC-FUNCTIONS | integral equations | harmonics | perturbation theory | ONE-LOOP | renormalisation | MELLIN TRANSFORMS | LEGENDRE CHI | Feynman diagrams | MULTIPLE ZETA VALUES | NESTED SUMS
Journal Article
Mathematika, ISSN 0025-5793, 2019, Volume 65, Issue 3, pp. 437 - 474
We generalize the work of Sarnak and Tsimerman to twisted sums of Kloosterman sums and thus give evidence towards the twisted Linnik–Selberg conjecture. 
11L05 (primary) | 11L07 | 11F72 (secondary) | FORMS | MATHEMATICS | COEFFICIENTS | MATHEMATICS, APPLIED
Journal Article
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