## Found 368 Documents (Results 1–100)

### Asymptotic identities for additive convolutions of sums of divisors. (English)Zbl 07635094

MSC:  11N37 32G15 11L05
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### Landau and Ramanujan approximations for divisor sums and coefficients of cusp forms. (English)Zbl 07624143

MSC:  11N37 11R42 11F33
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### On Wigert’s type divisor problem. (English)Zbl 07595133

MSC:  11N37 11M06 11L07
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MSC:  11A25
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MSC:  11L20
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### On a sum involving small arithmetic functions. (English)Zbl 07566177

MSC:  11L05 11N37
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### A Diophantine equation and its positive integer solutions. (English)Zbl 07565006

MSC:  11L10 11L40
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### Inequalities for Taylor series involving the divisor function. (English)Zbl 07547207

MSC:  11A25 26D15 33D05
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### Arithmetic convolution sums derived from eta quotients related to divisors of 6. (English)Zbl 1493.11009

MSC:  11A07 11A25
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### A lower bound for the variance of generalized divisor functions in arithmetic progressions. (English)Zbl 1489.11155

MSC:  11N64 11B25
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### Balanced derivatives, identities, and bounds for trigonometric and Bessel series. (English)Zbl 07456614

MSC:  11L03 33C10 11L07
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### Relations of combinatoric convolution sums for restricted divisor functions and Bernoulli polynomials. (English)Zbl 1499.11017

MSC:  11A25 33E30 11B68
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### A study of cofficients derived from eta functions. (English)Zbl 1499.11013

MSC:  11A07 11A25 11F20
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MSC:  11M06
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### On the average sum of the $$k$$ th divisor function over values of quadratic polynomials. (English)Zbl 1478.11117

MSC:  11P55 11L07 11N37
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### Integer factorization and finite Fourier series expansion. (English)Zbl 1483.11008

MSC:  11A25 11L03 42A16
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### Average behavior of the triple divisor function over values of quadratic form. (English)Zbl 1478.11057

MSC:  11E25 11P55
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### Generalized modular forms with a cuspidal divisor. (English)Zbl 1470.11065

MSC:  11F03 11F20 11F12
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### Sums of higher divisor functions. (English)Zbl 1466.11065

MSC:  11N37 11E25 11P55
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### On multiple trigonometric sums related with prime numbers. (English. Russian original)Zbl 1469.11257

Mosc. Univ. Math. Bull. 75, No. 6, 227-238 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 6, 3-13 (2020).
MSC:  11L03 33B10
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MSC:  11A25
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### On a mean-value theorem for multiple trigonometric sums. (Russian. English summary)Zbl 1454.11145

MSC:  11L07 11N37
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### Divisor sums representable as the sum of two squares. (English)Zbl 1476.11128

MSC:  11N37 11A25
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### Mean values of divisors twisted by quadratic characters. (English)Zbl 1472.11253

MSC:  11N37 11L40
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### Sums of logarithmic averages of gcd-sum functions. (English)Zbl 1472.11256

MSC:  11N37 11A25 11Y60
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### Sums of algebraic trace functions twisted by arithmetic functions. (English)Zbl 1469.11267

MSC:  11L05 11N25 11T23
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### Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions. (English)Zbl 1471.11251

MSC:  11N37 11L07
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### Generalised divisor sums of binary forms over number fields. (English)Zbl 1486.11118

MSC:  11N37 11N56 11N64
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### A divisor problem attached to regular quadratic forms. (English)Zbl 1447.11105

MSC:  11P32 11P55 11T23
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### On the number of representations of certain quadratic forms in 8 variables. (English)Zbl 1457.11027

Anni, Samuele (ed.) et al., Automorphic forms and related topics. Building bridges: 3rd EU/US summer school and workshop on automorphic forms and related topics, Sarajevo, Bosnia and Herzegovina, July 11–22, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 732, 215-224 (2019).
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### A Menon-type identity with multiplicative and additive characters. (English)Zbl 1418.11011

MSC:  11A25 11A07 11L99
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### Linear correlations of the divisor function. (English)Zbl 1441.11229

MSC:  11M41 11N37 11D72
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MSC:  11L07
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### Representations of an integer by some quaternary and octonary quadratic forms. (English)Zbl 1475.11059

Akbary, Amir (ed.) et al., Geometry, algebra, number theory, and their information technology applications. Toronto, Canada, June, 2016, and Kozhikode, India, August, 2016. Cham: Springer. Springer Proc. Math. Stat. 251, 383-409 (2018).
MSC:  11E25 11F11 11E20
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### Weighted partition identities and divisor sums. (English)Zbl 1456.11199

Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and $$q$$-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 239-249 (2018).
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### Structural properties and formulae of the spectra of integral circulant graphs. (English)Zbl 1409.05132

MSC:  05C50 05C25 11L03
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### Evaluation of the convolution sums $$\displaystyle\sum_{ak + bl + cm = n} \sigma(k) \sigma(l) \sigma(m)$$ with $$\mathrm{lcm}(a, b, c) = 7, 8$$ or $$9$$. (English)Zbl 1428.11018

MSC:  11A25 11F11 11F20
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### On the kernel of integral circulant graphs. (English)Zbl 1390.05137

MSC:  05C50 11L03
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### Short interval results for certain arithmetic functions. (English)Zbl 1420.11121

MSC:  11N37 11A25 11L07
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### Evaluating binomial convolution sums of divisor functions in terms of Euler and Bernoulli polynomials. (English)Zbl 1420.11011

MSC:  11A25 11B68
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### A quadratic analogue of Titchmarsh divisor problem. (English)Zbl 1420.11125

MSC:  11N37 11N13 11L07
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### A note on the exponential sums of the localized divisor functions. (English)Zbl 1439.11196

Dubickas, A. (ed.) et al., Analytic and probabilistic methods in number theory. Proceedings of the sixth international conference, Palanga, Lithuania, September 11–17, 2016. Vilnius: Vilnius University Publishing House. 25-28 (2017).
MSC:  11L07 11N37
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MSC:  11D68
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### Mackay functions and exact cutting in spaces of modular forms. (Russian. English summary)Zbl 1422.11081

MSC:  11F03 11F20
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MSC:  11A25
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### On exponential sums involving the divisor function over $$\mathbb Z[i]$$. (English)Zbl 1399.11152

MSC:  11L07 11N37

### Some constants in a summation formula. (Chinese. English summary)Zbl 1389.11012

MSC:  11A41 11L20
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### Evaluation of the convolution sums $$\Sigma_{al+bm=n}\,l \sigma(l)\sigma(m)$$ with $$ab\leq 9$$. (English)Zbl 1430.11007

MSC:  11A25 11F11 11F20
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### Averages of ratios of the Riemann zeta-function and correlations of divisor sums. (English)Zbl 1427.11085

MSC:  11M50 11M26 11N37
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### On the product of Hurwitz zeta-functions. (English)Zbl 1431.11007

MSC:  11A07 11M32
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### Some arithmetic convolution identities. (English)Zbl 1422.11007

MSC:  11A25 11E25
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### Large greatest common divisor sums and extreme values of the Riemann zeta function. (English)Zbl 1394.11063

MSC:  11M06 11C20
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### On the quadratic divisor problem. (English)Zbl 1428.11167

MSC:  11N37 11N75
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### Identities for trigonometric divisor sums. (English)Zbl 1379.11072

MSC:  11L03 33C10
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### Sums of averages of gcd-sum functions. (English)Zbl 1422.11198

MSC:  11N37 11A25 11P99
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### The multinomial convolution sums of certain divisor functions. (English)Zbl 1367.11011

MSC:  11A25 11B75
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### Identities for the Ramanujan tau function and certain convolution sum identities for the divisor functions. (English)Zbl 1418.11072

Murty, Vijaya Kumar (ed.) et al., Highly composite: papers in number theory. On the occasion of R. Balsubramanian’s 60th birth anniversary. Including papers from the international meeting on number theory, Harish-Chandra Research Institute, Allahabad, India, December 15–20, 2011. Mysore: Ramanujan Mathematical Society. Ramanujan Math. Soc. Lect. Notes Ser. 23, 63-75 (2016).
MSC:  11F25 11F11 11A25

### Cusp forms with characters of the level $$\mathrm{p}^4$$. (Russian. English summary)Zbl 1402.11059

MSC:  11F03 11F20
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### The shifted convolution of generalized divisor functions. (English)Zbl 1378.11004

Göttingen: Univ. Göttingen, Fakultät für Mathematik und Informatik (Diss.). i, 70 p. (2016).
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### A study of approximate normal distribution derived from combinatoric convolution sums of divisor functions. (English)Zbl 1459.11062

MSC:  11B68 11A25
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### Fractional parts of the function $$x/n$$. (English. Russian original)Zbl 1422.11200

Math. Notes 100, No. 5, 731-742 (2016); translation from Mat. Zametki 100, No. 5, 744-756 (2016).
MSC:  11N37 11L99 41A60
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### Moments of zeta and correlations of divisor-sums. IV. (English)Zbl 1411.11074

MSC:  11M06 11M26
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### The relation property between the divisor function and infinite product sums. (English)Zbl 1419.11064

MSC:  11E25 30B10
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### An asymptotic formula related to the sums of divisors. (English)Zbl 1355.11098

MSC:  11N37 11P55 11L03
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### The Dirichlet divisor problem of arithmetic progressions. (English)Zbl 1402.11120

MSC:  11N37 11B25 11L07
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### On the variance of sums of divisor functions in short intervals. (English)Zbl 1352.11091

MSC:  11N37 11M06
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### Sum of divisors of a quaternary quadratic form with almost equal variables. (English)Zbl 1415.11131

MSC:  11P55 11E20 11L03
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### A product formula for combinatoric convolution sums of odd divisor functions. (English)Zbl 1402.11009

MSC:  11A25 11B68
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